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.)

(a)

P(0 ≤ Z ≤ 2.09)

(b)

P(0 ≤ Z ≤ 2)

(c)

P(−2.10 ≤ Z ≤ 0)

(d)

P(−2.10 ≤ Z ≤ 2.10)

(e)

P(Z ≤ 1.62)

(f)

P(−1.05 ≤ Z)

(g)

P(−1.10 ≤ Z ≤ 2.00)

(h)

P(1.62 ≤ Z ≤ 2.50)

(i)

P(1.10 ≤ Z)

(j)

P(|Z| ≤ 2.50)

You may need to use the appropriate table in the Appendix of Tables to answer this question.

Answer 1

When ;

and the value of can be obtained from standard normal table.

(a)

(b)  

(c)  

  

(d)  

  

(e)  

(f)  

(g)  

(h)  

(i)

(j)