Question

Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Round your answers to four decimal places.)

(e)    P(Z ≤ 1.43)

(h)    P(1.43 ≤ Z ≤ 2.50)

Answer 1

Solution :

Given that,  

Using standard normal table ,

(e)

P(z 1.43) = 0.9236

(h)

P(1.43 z 2.50)

= P(z 2.50) - P(z 1.43)

= 0.9938 - 0.9236

= 0.0702

P(1.43 z 2.50) = 0.0702