Question

Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below. 

a. What is the probability that Z is between −1.51 and 1.81? 

The probability that Z is between −1.51 and 1.81 is _______.

Answer 1

Sol Given that, Z WN(0, 1) Here, we need to find P(-1.51EC1-81) p(-1.51ZZ<1.81). PlZc1.91) - PlZ2-1-51) from standard (from = 0.964858- 0.065522 Normal table 0.89933 0.8993 between 1.51 and 1.81 is 0.8993 The probability that z is 0,8993 -1.51

Answer 2

SOLUTION :

P(z between - 1.51 and 1.81)

= P(z ≤ 1.81) - P(z ≤ - 1.51)

From the cumulative ND table, we find the above cumulative probabilities :

= 0.9649 - 0.0655

= 0.8994 (ANSWER).