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?
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?
