A couple plans to have three children. Let M be the random variable that represents the number of male. a. Use a tree diagram to find the sample space for the gender of the three children. Use M for male and F for female. b. Tabulate the probability mass function for the random variable M. c. Determine the cumulative distribution function of the random variable M.

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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3. A couple plans to have three children. Let M be the random variable that represents the
number of male.
a. Use a tree diagram to find the sample space for the gender of the three children. Use M
for male and F for female.
b. Tabulate the probability mass function for the random variable M.
c. Determine the cumulative distribution function of the random variable M.
Transcribed Image Text:3. A couple plans to have three children. Let M be the random variable that represents the number of male. a. Use a tree diagram to find the sample space for the gender of the three children. Use M for male and F for female. b. Tabulate the probability mass function for the random variable M. c. Determine the cumulative distribution function of the random variable M.
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