In a large shipment of clocks, it has been discovered that 21 % of the clocks are defective. Suppose
that you choose 7 clocks at random. What is the probability that 2 or less of the clocks are defective.
Find each of the following probabilities:
a. Find P(Z ≤ .17).
P(Z ≤ .17)=.56749.
b. Find P(Z ≥ -.34) .
P(Z ≥ -.34)=1- .36693= .63307.
c. Find P(-1.14 ≤ Z ≤ 0.55).
P(-1.14 ≤ Z ≤ 0.55)= .70884- .12714=.5817 .
A company manufactures a large number of rods. The lengths of the rods are normally distributed
with a mean length of 7.7 inches and a standard deviation of 1.2 inches. If you choose a rod at
random, what is the probability that the rod you chose will be: