Question

In: Statistics and Probability

Let X be normally distributed with mean μ = 146 and standard deviation σ = 34....

Let X be normally distributed with mean μ = 146 and standard deviation σ = 34. [You may find it useful to reference the z table.]

a. Find P(X ≤ 100). (Round "z" value to 2 decimal places and final answer to 4 decimal places.)

b. Find P(95 ≤ X ≤ 110). (Round "z" value to 2 decimal places and final answer to 4 decimal places.)

c. Find x such that P(X ≤ x) = 0.330. (Round "z" value and final answer to 3 decimal places.)

d. Find x such that P(X > x) = 0.940. (Round "z" value and final answer to 3 decimal places.)

Expert Solution

Given :

a.

; Due to symmetry

; From normal probability table

b.

; Due to symmetry

; From normal probability table

c.

Therefore , From normal probability table

d.

Therefore , From normal probability table

orchestra answered 2 years ago

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