Question

1)Assume that the random variable X is normally distributed, with mean μ = 70 and standard deviation σ = 13.

A)Find P(X ≤ 65) =

B) Find P(X > 55) =

C) Find P(X > 78) =

D) Find P(X > 78) =

2)The length of zebra pregnancies is normally distributed, with mean μ = 380 and standard deviation σ = 10.

A)Find P(X < 365) =

B)Find P(X > 385) =

Answer 1

Question 1)

We are given that:

A)
The required probability is given by:

B)

The required probability is given by:

C)

The required probability is given by:

D)

The required probability is given by:

Question 2)

Let X denote the random variable representing the length of zebra pregnancies. Now, we are given that:

A)

The required probability is given by:

B)

The required probability is given by:

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