Given Information:
number of trials = n = 1042
Probability of success = p = 0.80
Required Information:
Maximum usual value = μ + 2σ = ?
Minimum usual value = μ - 2σ = ?
Answer:
Maximum usual value = 859.51
Minimum usual value = 807.78
Step-by-step explanation:
In a binomial distribution, the mean μ is given by
μ = np
μ = 1042*0.80
μ = 833.6
The standard deviation is given by
σ = √np(1 - p)
σ = √1042*0.80(1 - 0.80)
σ = √833.6(0.20)
σ = 12.91
The Maximum and Minimum usual values are
μ + 2σ = 833.6 + 2*12.91
μ + 2σ = 833.6 + 25.82
μ + 2σ = 859.51
μ - 2σ = 833.6 - 25.82
μ - 2σ = 807.78
Therefore, the minimum usual value is 807.78 and maximum usual value is 859.51
The value of x is 10
Its hard to explain
Answer:
\frac{P(X)}{Q(X)}
Step-by-step explanation:
it is an equation containing at least one fraction whose numerator, denominator are polynomials.
Answer:
a) 38
Step-by-step explanation:
The normal distribution can be applied if:
and 
In this question:
Then
a) 38
n = 38.
Then
38*0.27 = 10.26
38*0.73 = 27.74
Satisfies. But is this the smallest sample of the options which satisfies.
b) 14
n = 14
Then
14*0.23 = 3.22
14*0.77 = 10.78
Does not satisfy
c) 10
Smaller than 14, which also does not satisfy, so 10 does not satisfy.
d) 48
Greater than 38, which already satisfies. So the answer is a)
Answer:
16 oil changes
Step-by-step explanation:
You can write this into ratio form to help explain this. The ratio 4:2 can be used to explain this problem with the 4 meaning 4 oil changes and the 2 meaning after every two hours. You want to make it to where the 2 hours is at 8 hours so you would multiply 4 on both sides of the ratio which will give you the new ratio of 16:8. The mechanic can do 16 oil changes within 8 hours.
