Download Section 7.6 – Application of the Normal Distribution Example 1

Math 1313
Section 7.6
1
Section 7.6 – Application of the Normal Distribution
Example 1: According to the data released by the Chamber of Commerce of
a certain city, the weekly wages of factory workers are normally distributed
with a mean of $400 and a standard deviation of $50. Find the probability
that a factory worker selected at random from this city makes a weekly wage
of
a. more than $460?
b. between $350 and $450?
Example 2: The Idaho Natural Produce Corporation ships bags to
distributors in bags whose weights are normally distributive with a mean of
50 pounds and a standard deviation of .5 pound. If a bog of potatoes is
chosen at random what is the probability that it weighs:
a. More than 51 pounds?
b. Less than 49 pounds?
Math 1313
Section 7.6
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Example 3: Use the normal distribution to approximate the following
binomial experiment. A marksman’s chance of hitting a target with each of
his shots is 60%. If he fires 30 shots, what is the probability of his hitting the
target:
a. Between 15 and 20 times, inclusive?
b. Fewer than 10 times?
Example 4: A basketball player has a 75% chance of making a free throw.
What is the probability of him making more than 100 free throws in 120
trials?
Math 1313
Section 7.6
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Example 5: A fair coin is tossed 20 times. What is the probability of
obtaining the following number of heads:
a. Fewer than 8 heads?
b. More than 6 heads?
c. Between 6 and 10 heads?