# Question: assume a normal distribution and find the following probabilities round...

###### Question details

Assume a normal distribution and find the following
probabilities.

*(Round the values of z to 2 decimal places. Round your
answers to 4 decimal places.)*

**(a)** *P*(*x* < 23 | *μ* =
27 and *σ* = 4)

**(b)** *P*(*x* ≥ 50 | *μ* = 30
and *σ* = 8)

**(c)** *P*(*x* > 27 | *μ* =
30 and *σ* = 6)

**(d)** *P*(21 < *x* < 26 |
*μ* = 25 and *σ* = 4)

**(e)** *P*(*x* ≥ 84 | *μ* = 70
and *σ* = 1.80)