Question

Let X be normally distributed with mean μ = 4.1 and standard deviation σ = 2. [You may find it useful to reference the z table.]


a. Find P(X > 6.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.)

b. Find P(5.5 ≤ X ≤ 7.5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.)

c. Find x such that P(X > x) = 0.0594. (Round "z" value and final answer to 3 decimal places.)

d. Find x such that P(x ≤ X ≤ 4.1) = 0.4719. (Negative value should be indicated by a minus sign. Round "z" value and final answer to 3 decimal places.)

Answer 1

Here

a)

Required probability =

b)

Required probability =

c)

We wan to find 'x' such that P(X>x) = 0.0594

d)

We wan to find 'x' such that