Let z denote a random variable having a normal distribution

Let z denote a random variable having a normal distribution with = 0 and = 1. Determine each of the following probabilities. (Round all answers to four decimal places.) Can You pelase show all the work, all the steps.

(a)

P(z < 0.3) =

(b)

P(z < 0.3) =

(c)

P(0.40 < z < 0.85) =

(d)

P(0.85 < z < 0.40) =

(e)

P(0.40 < z < 0.85) =

(f)

P(z > 1.25) =

(g)

P(z < 1.49 or z > 2.50) =

Solution

WE CAN GET THE VALUES FROM THE Z TABLE

A)P(z < 0.3) = 0.6179

B) 0.3821

C)0.8023 - 0.6554 = 0.1469

D)0.3446 - 0.1977 = 0.1469

E)0.8023 - 0.3446 = 0.4577

F) 0.0689+0.9968 = 1.0657