Three hundred three viewers were asked if they were satisfied with TV coverage o
ID: 3174464 • Letter: T
Question
Three hundred three viewers were asked if they were satisfied with TV coverage of a recent disaster.
Gender
Female Male
Satisfied 83 48
Not Satisfied 124 48
(a) Find P(satisfied). (Give your answer correct to two decimal places.)
(b) Find P(satisfied | female). (Give your answer correct to two decimal places.)
(c) Find P(satisfied | male). (Give your answer correct to two decimal places.)
In an exclusive county club, 68% of the members play bridge and drink champagne. And 83% of members play bridge. If a memeber is selected at random, find the probability the member drinks champagne, given that the member plays bridge. The answer is . (Keep the anwer with two decimal places)
In a Calculus class there are 11 freshmen and 15 sophomores; 5 of the sophomores are females, and 8 of the freshmen are males. If a student is selected at random.
The probability of selecting a sophomore or a male is
The probability of selecting a sophomore is
The probability of selecting a male is
The probability of selecting a sophomore male is
A single card is drawn from an ordinary deck.
The probability of getting a Spade Three is
The probability of getting a Three is
The probability of getting a Spade is
The probability of getting a Spade or a Three is
Explanation / Answer
1) n = 303
a) P(Satisfied) = (83 + 48)/ 303 = 131/303 = 0.43
b) P(Satisfied | Female)
= P(Satisfied and Female)/ P(Female)
= 83/ (83 + 124)
= 83/ 207
= 0.40
c) P(Satisfied | Male)
= P(Satisfied and Male)/ P(Male)
= 48/ (48 + 48)
= 48/ 96
= 0.50
2) Given,
P(Play bridge and drink champagne) = 0.68
P(Play bridge) = 0.83
So,
P(Drink Champagne | Play bridge)
= P(Drink Champagne and play bridge)/ P(Play Bridge)
= 0.68/ 0.83
= 0.82
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