Answer:
The mean of the distribution is 4.00 and the standard deviation is 2.31
Explanation:
Given
Range = 2 to 10
Type of distribution = uniform distribution
Required
1. Mean
2. Standard Deviation
The mean of uniform distribution is calculated as thus;
[tex]Mean = \frac{1}{2}(a + b)[/tex]
Where b and a are the intervals of the distribution
b = upper bound = 10
a = lower bound = 2
So,
[tex]Mean = \frac{1}{2}(a + b)[/tex]
Substitute 10 for b and 2 for a
[tex]Mean = \frac{1}{2}(2 + 10)[/tex]
[tex]Mean = \frac{1}{2}(12)[/tex]
[tex]Mean = \frac{1}{2} * 12[/tex]
[tex]Mean = 6[/tex]
[tex]Mean = 6.00[/tex] (Approximated to 2 decimal places)
The standard deviation of uniform distribution is calculated as thus;
σ = √σ²
Where σ represents the standard deviation and σ² represents the variance.
Calculate variance
σ² = Var
[tex]Var = \frac{(b-a)^2}{12}[/tex]
Substitute 10 for b and 2 for a
[tex]Var = \frac{(10 - 2)^2}{12}[/tex]
[tex]Var = \frac{8^2}{12}[/tex]
[tex]Var = \frac{64}{12}[/tex]
[tex]Var = 5.33[/tex]
Recall that
σ = √σ² = √Var
Substitute 5.33 for Var
σ = √5.33
σ = 2.309401076758503
σ = 2.31 (Approximated)
Hence, the mean of the distribution is 4.00 and the standard deviation is 2.31
Assume that there is a 6% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on three three independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?
It's most accurate to say that hand-tied arrangements
Complete question reads;
3. It's most accurate to say that hand-tied arrangements
A. are especially popular for weddings.
B. include only one or two floral materials.
C. are difficult to carry.
D. require a concealed water supply.
Answer:
B. include only one or two floral materials.
Explanation:
Remember, when flowers are been arranged by a florist consideration is made to allow for efficient handling. This involves using a few flower stems and constructing them using one’s hand to form the arrangement. The stems therefore would form a handle which could be held, thus only one or two floral materials are used.
