Answer:
<em>Mean of the sample = 27.83</em>
<em> The variance of the the sample = 106.96</em>
<em> </em><em>Standard deviation of the sample = 10.34</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given random sample of six employees
x 26 32 29 16 45 19
mean of the sample
Mean of the given data = 27.83
<u>Step(ii):-</u>
<u>Given data</u>
x : 26 32 29 16 45 19
x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83
(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689
∑ (x-x⁻)² = 534.8245
Given sample size 'n' =6
The variance of given data
S² = ∑(x-x⁻)² / n-1
The variance of the given sample = 106.9649
<u> Step(iii):-</u>
Standard deviation of the given data
Standard deviation of the sample = 10.3423
Answer:
a. P(X ≤ 5) = 0.999
b. P(X > λ+λ) = P(X > 2) = 0.080
Step-by-step explanation:
We model this randome variable with a Poisson distribution, with parameter λ=1.
We have to calculate, using this distribution, P(X ≤ 5).
The probability of k pipeline failures can be calculated with the following equation:
Then, we can calculate P(X ≤ 5) as:
The standard deviation of the Poisson deistribution is equal to its parameter λ=1, so the probability that X exceeds its mean value by more than one standard deviation (X>1+1=2) can be calculated as:
Answer:
There is a 45.05% probability that the selected person is a right-handed female.
Step-by-step explanation:
We have these following probabilities
A 50% probability that a person is a male
A 50% probability that a person is a female.
A 12.6% probability that a male is left-handed.
A 9.9% probability that a female is left-handed.
If a person is selected at random, to find the probability that the selected person is a right-handed female, one would compute:
50% are female.
9.9% of the females are left-handed, so 100-9.9 = 90.1% of the females are right handed.
So
There is a 45.05% probability that the selected person is a right-handed female.
Answer:80 mirror tiles will be needed to cover the wall is 80
Step-by-step explanation:
The dimension of one wall in living room is 8 feet by 10 feet. The wall is rectangular in shape. The area of a rectangle is expressed as
Length × width. The area of one wall in the living room would be
8 × 10 = 80 feet^2
The Williams family wants to cover one wall in their living room with 1-foot square mirror tiles.
The number of mirror tiles that they will need to cover the wall would be
80/1 = 80 mirror tiles.
A) 3x100= 300 since figure 1 is 3 then figure 100 is 3x100
