Suppose that it is known that the number of items produced at a factory per week is a random variable x with mean 50. a) what can we say about the probability x greater than or equal to 75? b) suppose that the variance of x is 25. what can we say about p(40 < x < 60)?

a.

b.P(40<x<60)0.75

Step-by-step explanation:

We are given that

Mean =E(X)=50

a.We have to find the probability when x greater than or equal to 75.

Markovs inequality

By using Markovs inequality and substitute k=75

b.We have to find P(40<x<60)

Variance=

Chebyshev's inequality:

Because 50+10=60 and 50-10=40

Therefore, k=10

By using Chebyshev's inequality and substitute k=10

because 50+10=60 and 50-10=40

Hence, P(40<x<60)0.75

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step-by-step explanation:

b

step-by-step explanation: