The Christmas bonus amounts for members of a certain credit union are normally distributed with a mean of $2000 and a standard deviation of $400. If one of these members was chosen at random: a) Find the probability that the bonus will be less than $1850. b) What percentage of members would have a bonus of more than $1850. c) What is the probability that the bonus will be between $1700 and $2240. d) 20% of members also qualify for a Christmas hamper if their bonus is less than a certain amount. What is this amount?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The Christmas bonus amounts for members of a certain credit union are normally distributed with a
mean of $2000 and a standard deviation of $400. If one of these members was chosen at random:
a) Find the probability that the bonus will be less than $1850.
b) What percentage of members would have a bonus of more than $1850.
c) What is the probability that the bonus will be between $1700 and $2240.
d)
20% of members also qualify for a Christmas hamper if their bonus is less than a certain
amount. What is this amount?
Transcribed Image Text:The Christmas bonus amounts for members of a certain credit union are normally distributed with a mean of $2000 and a standard deviation of $400. If one of these members was chosen at random: a) Find the probability that the bonus will be less than $1850. b) What percentage of members would have a bonus of more than $1850. c) What is the probability that the bonus will be between $1700 and $2240. d) 20% of members also qualify for a Christmas hamper if their bonus is less than a certain amount. What is this amount?
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