An insurance company has collected the following data on the gender and marital status of 300 customers. Marital Status Single (M1) Married (M2) Divorced (M3) 125 30 Male (G1) Female (G2) 25 Gender 50 50 20 Suppose that a customer is selected at random. Find the probability that the customer selected is: a. a married female. b. not single. c. married, given the customer is male. d. Is being married independent of gender? Explain using probabilities.

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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A. An insurance company has collected the following data on the gender and marital
status of 300 customers.
Marital Status
Single (M1)
Married (M2)
Divorced (M3)
Male (G1)
25
125
30
Gender
Female (G2)
50
50
20
Suppose that a customer is selected at random. Find the probability that the customer
selected is:
a. a married female.
b. not single.
c. married, given the customer is male.
d. Is being married independent of gender? Explain using probabilities.
Transcribed Image Text:A. An insurance company has collected the following data on the gender and marital status of 300 customers. Marital Status Single (M1) Married (M2) Divorced (M3) Male (G1) 25 125 30 Gender Female (G2) 50 50 20 Suppose that a customer is selected at random. Find the probability that the customer selected is: a. a married female. b. not single. c. married, given the customer is male. d. Is being married independent of gender? Explain using probabilities.
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