Answer:
The mean for the probability mass function is 0.64287.
Step-by-step explanation:
The complete question is:
In a batch of 28 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 6 units to test. Let random variable X = the number of defective units that are among the units tested.
The probability mass function f (x) is:
f (x) = {(0, 0.47009), (1, 0.42308), (2, 0.10073), (3, 0.00611)}
Solution:
The mean of a discrete random variable X with probability mass function f (x) is:
[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]
Compute the mean for the probability mass function above as follows:
[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]
[tex]=(0\times 0.47009)+(1\times 0.42308)+(2\times 0.10073)+(3\times 0.00611)\\=0+0.42308+0.20146+0.01833\\=0.64287[/tex]
Thus, the mean for the probability mass function is 0.64287.
This values represents the expected number of defective units for every 6 units tested.
The sum of 14 and which number will equal -3
Answer:
-17
Step-by-step explanation:
-3-14 = -17
-17 + 14 = -3
What is the definition of supplementary angles.
Answer: either of two angles whose sum is 180°.
Step-by-step explanation:
Answer:
either of two angles whose sum is 180°
Step-by-step explanation:
Suzi starts her hike at 200 feet below sea level. When she reaches the end of the hike, she is
still below sea level at -190 feet. What was the change in elevation from the beginning of
Suzi's hike to the end of the hike?
more FILL IN THE BLANKS FOR SCHOOL.... please help soon as possible
Answer:
2
Step-by-step explanation:
-42/14 = 3, so you need to cancel out the 1/2 being multiplied on the bottom part of the fraction
4 + 3 (3 × 2)² - 1
how do I set up the account?
Answer:
4+(9*6)^2-1
Step-by-step explanation:
3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circuits. Ten wafers were tested, and the following photoresist thickness measurements (in angstroms x 1,000) were observed: 13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002. a. Test the hypothesis that mean thickness is 13.4 x 1,000 A. Use a = 0.05 and assume a two-sided alternative. b. Find a 99% two-sided confidence interval on mean photoresist thickness. Assume that thickness is normally distributed.
Answer:
a
The null hypothesis is [tex]H_o : \mu = 13.4000[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 13.4000[/tex]
The null hypothesis is rejected
b
The 99% confidence level is [tex]13.3930 < \mu < 13.3994 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 10
The population mean is [tex]\mu = 13.4 000 \ angstroms[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The sample data is
13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}[/tex]
=> [tex]\= x = 13.3962 [/tex]
Generally the sample standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }[/tex]
=> [tex]\sigma =0.0039 [/tex]
The null hypothesis is [tex]H_o : \mu = 13.4000[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 13.4000[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }[/tex]
=> [tex]z = 3.08[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2P( z > 3.08)[/tex]
From the z-table [tex]P(z > 3.08)= 0.001035[/tex]
So
[tex]p-value = 2* 0.001035[/tex]
[tex]p-value = 0.00207[/tex]
So from the obtained value we see that
[tex]p-value < \alpha[/tex]
Hence the null hypothesis is rejected
Consider the b question
Given that the confidence level is 99% then the level of significance is
[tex]\alpha = (100 -99)\%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{0.0039}{\sqrt{10} }[/tex]
=> [tex]E = 0.00318[/tex]
Generally the 99% confidence interval is mathematically represented as
[tex]13.3962 - 0.00318 < \mu < 13.3962 + 0.00318 [/tex]
=> [tex]13.3930 < \mu < 13.3994 [/tex]
What is R,S,W? I really need help!
Answer:
R- 73°
S- 73°
W- 138°
Step-by-step explanation:
Every triangle is 180°.
So 65+42=107
180-107=73
So that's the triangle to the right.
Now the other one is identical.
So we know the line w is on is 180°
On the corner w is on it took up 42°
So 180-42= 138° (which is 'w')
Hope it helps! :D
If : f(x): m, x + 3 0
- 2x +12. 5< X < infinity
What must the value of m, be so that the
two pieces of this piecewise function intersect
the same point ?
A. m, = -5
B. m, = -1/5
C. m, = 2
D. m, = 5
Answer:
.
Step-by-step explanation:
For which value of x should the following expression be further simplified?
Answer:
B) x = 6
Step-by-step explanation:
If you try substituting all the numbers (from these options) for x, you'll find that 6 is the only x value that can let the expression be further simplified.
[tex] \sqrt{39 \times 6} [/tex]
[tex] \sqrt{234} [/tex]
[tex] \sqrt{9 \times 26} [/tex]
[tex] \sqrt{9} \times \sqrt{26} [/tex]
[tex]3 \sqrt{26} [/tex]
Solve for x and explain how you use inverse operations to find your answer:
8x=2
What is the value of 12 Superscript 0?
Answer:
1
Step-by-step explanation:
So when we raise a number to the zeroth power, that means we multiply the number by itself zero times - but that means we're not multiplying anything at all! ... In short, 0 is the only number such that for any number x, x + 0 = x
Answer:
Hi there! The answer to this question is 1.
Hope this helps :D
I scored 32 more points in my second unit test and I did it on my first my total points for both test were 164 what did I score on my two test
a = 66 points (first test)
b = 98 (second test)
Step-by-step explanation:Hi there !
a = first test
b = second test
a + b = 164
b = a + 32
replace b
a + (a + 32) = 164
2a = 164 - 32
2a = 132
a = 132 ; 2
a = 66 points (first test)
b = 66 + 32
b = 98 (second test)
Good luck !
Identify a like that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original. Geometry. Please Help!!
Answer: x=6
Step-by-step explanation: move 6 spaces and you get the same vertices
What do the labeled bolts of clothes represent in the political cartoon a American domestic policy be American non-invasive beliefs see American involved in other countries the American support for foreign immigration
Answer:
C
American involvement in other countries.
Hope it helps ❤️
The labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
What is a labeled diagram?A drawing, chart, or graph that is labeled helps to visualize a concept. Students can better understand the relationships between the diagram's various components by using labeled diagrams in math, science, and language arts.
It is given that the labeled bolts of clothes represent the political cartoon.
They provide a cheerful diversion from the increasingly somber political discourse by offering a colorful alternative to formal news reporting. Cartoons offer a quick and easy way to comment on current events because they can condense news and opinion into a caricature.
Thus, the labeled bolts of clothes represent the political cartoon will be about American involvement in other countries,
Learn more about the labeled diagram here,
https://brainly.com/question/13354430
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Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer decides to test this claim by sampling 35 parts. She finds that the standard deviation of the sample is 2.12. Is this enough evidence at the 1% level of significance, to accept the manufacturing companies claim? Calculate the appropriate test statistic (round to 2 decimal places as needed)
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to accept the manufacturing company claims
Step-by-step explanation:
From the question we are told that
The sample size is n = 35
The sample standard deviation is [tex]s = 2.12[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \sigma ^2 = 9.0[/tex]
The alternative hypothesis is [tex]H_a : \sigma ^2 < 9.0[/tex]
Gnerally the test statistics is mathematically represented as
[tex]X^2 _{stat} = \frac{(n -1) * s^2 }{\sigma^2 }[/tex]
[tex]X^2 _{stat} = \frac{(35 -1) * 2.12^2 }{9 }[/tex]
=> [tex]X^2 _{stat} = 16.98[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 35 - 1[/tex]
=> [tex]df = 34[/tex]
From the chi - distribution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 34[/tex] is
[tex]X^2_{\alpha, 34 } =56.060[/tex]
From the value obtained we see that the test statistics does not lie within the region of rejection (1.e 56.060 , [tex]\infty [/tex] )
Then
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to accept the manufacturing company claims
Which of the following expressions is equivalent to (7)(7)(7)?
7 · 3
3 7
(7) 3
3 · 7
Answer:
[tex]7^{3}[/tex]
Step-by-step explanation:
Hope this helps! Pls consider marking my answer Brainliest! it would mean a lot!
Answer:
7^3
Step-by-step explanation:
(also happy pride month!! ️)
A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
x
y
0
0
15
3
30
6
Assuming there is a proportional relationship, which additional set of values could be included in the table?
(10, 2)
(40, 9)
(50, 38)
(100, 76)
Answer:
(10, 2)
Step-by-step explanation:
I just did the quiz.
The additional set of values that could be included in the table will be ( 10, 2). the correct option is A.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given table is as follows:-
x y
0 0
15 3
30 6
Here the x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
The ratio between the values x and y is 15:3 or 30:6 or 5 :1. From the given options the additional set of values that could be included in the table having the same ratio of 5:1 is ( 10, 2 ).
Therefore, the additional set of values that could be included in the table will be (10, 2). the correct option is A.
To know more about ratios and proportions follow
https://brainly.com/question/12024093
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Let f(x)=10x. Which function represents a transformation of f(x) by a vertical stretch with factor 1.25? g(x)=101.25x g(x)=0.8⋅10x g(x)=1.25⋅10x g(x)=100.8x
Answer:
g(x) = 1.25 x 10^x
Answer:
g(x)=1.25 ₓ 10ˣ
Step-by-step explanation:
Which of the following equations is equivalent to 2(a + 6) – 3(a – 5) = 18?
A: 5a + 27 = 18
B: 5a - 3 = 18
C: -a + 27 = 18
D: -a + - 3 = 18
Answer:
c
Step-by-step explanation:
Can someone help me with this geometry problem tysm
Answer:
2x=128 x=64
Step-by-step explanation:
64x 2 =128
18.75 divided by 0.70
Answer:
26.79 (rounded to the nearest hundredth)
what is the answer? pls help
Answer:
The answer is Not a line (no constant slope)
Step-by-step explanation:
21/7
-2/-1
78/26
-105/-35
The slope is always different, therefore there is no constant slope!
Hope this helps!
A kid at the pool goes to jump from the high diving board. He climbs the stairs 3 feet, but he has to wait for the kid in front of him to go. He climbs up another 5 feet to the diving board, then jumps into the pool, descending 10 feet below the diving board. How far does the kid need to swim up to reach the surface of the water?
Answer:
Probably 5 feet
Step-by-step explanation:
Since the diving board is 5 feet then it is 10 feet the it equals 5 feet if you half it
Sorry if wrong and hope this helps
Helpppppp once again plssss?! Thank you
Solve 2y – 3 = 4y + 6.
ys
Simplify 3a^2b^2x2ab+6a^3b^2
[tex]3 {a}^{2} \times {b}^{2} \times 2ab + 6 {a}^{3} \times {b}^{2} = [/tex]
[tex]6 {a}^{3} {b}^{3} + 6 {a}^{3} {b}^{2} = [/tex]
Factoring 6a^3 b^2
[tex]6 {a}^{3} {b}^{2}(b + 1) [/tex]
_________________________________
I think this is the correct answer.
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
2 pay raises in 3 years unit rate
Answer:
1:1.5
Step-by-step explanation:
cut the 3 in half and cut the 2 in half
What is the maximum of the numbers listed below?
5.2, 5.4, 4.9, 4.4, 5.1
Answer:
5.4
Step-by-step explanation:
5.2, 5.4, 4.9, 4.4, 5.1
4.4, 4.9, 5.1, 5.2, 5.4
5.4 is the maximum
Hope this helped!
0.12k = 10.08
A.)48
B.)84
C.)0.48
D.) 0.048
Answer:
[tex] k = 10.08 \times 100 \div 0.12 \times 100 = 1008 \div 12 = 84[/tex]
Step-by-step explanation:
option B 84
.
Find the product of 742 and 73 Type your answer...m
Answer:
31906.hope it helps you.
Step-by-step explanation:
742*73=31906
