MATH 110 MODULE 4 EXAM (LATEST-2025) MATH110 INTRODUCTION TO STATISTICS: PORTAGE LEARNING

MATH 110 MODULE
4 EXAM (LATEST-
2025) MATH110
INTRODUCTION TO
STATISTICS:
PORTAGE LEARNING
Study Ace Smart

, Portage Learning Math 110 Module Exam 4

1.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.




2. Find each of the following probabilities: (use standard normal distribution table to get zscore)

a.Find P(Z ≤ 1.27) .

b.Find P(Z ≥ -.73) .

c. Find P(-.09 ≤ Z ≤ .86).



a. P(Z ≤ 1.27) =0.89796

b. P(Z ≥ -0.73= 1- P(Z ≤ -0.73)=1-

0.23270=0.7673

c. P(-0.09 ≤ Z ≤0 .86)= P(Z≤0 .86)- P(Z≤ -0.09) 0.80511-

0.46414=.34097
3.A company manufactures a large number of rods. The lengths of the rods are normally distributed with
a mean length of 4.0 inches and a standard deviation of .75 inches. If you choose a rod at random, what is
the probability that the rod you chose will be:

a)Less than 3.0 inches?