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StatisticsQ&A LibraryThe following table displays the 100 senators of the 115th U.S. Congress on January 3, 2017, viewed by political party affiliation and gender. Male Female Total Democrat 30 16 46 Republican 47 5 52 Independent 2 0 2 Total 79 21 100 A senator is selected at random from this group. a. What is the probability that the senator is a woman?Start your trial now! First week only $4.99!*arrow_forward*

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The following table displays the 100 senators of the 115th U.S. Congress on January 3, 2017, viewed by political party affiliation and gender.

Male | Female | Total | |

Democrat | 30 | 16 | 46 |

Republican | 47 | 5 | 52 |

Independent | 2 | 0 | 2 |

Total | 79 | 21 | 100 |

A senator is selected at random from this group.

a. What is the probability that the senator is a woman?

b. What is the probability that the senator is a Republican?

c. What is the probability that the senator is a Republican and a woman?

d. Given that the senator is a woman, what is the probability that she is a Republican? Round the answer to 4 decimal places or fraction form.

e. Given that the senator is a Republican, what is the probability that the senator is a woman? Round the answer to 4 decimal places or fraction form.

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