o-0.7 05 QUESTION 16 In a MATH class, there ar e 12 freshmen and 8 sophomores; 7

Question

o-0.7 05 QUESTION 16 In a MATH class, there ar e 12 freshmen and 8 sophomores; 7 of the sophomores are females and 7 of the freshmen are males. The probability of "the student selected is a sophomore A 12/20 B 13/20 C. 7/20 D 8/20 probability of the student selected is a female The probability of the student selected is a sophomore and female The probability of "the student selected is a sophomore or female QUESTION 17 selecteda a In a Math class, there are 12 freshmen and 8 sophomore, 7 of sophomores are females and 7 of freshmen are males. Find the probability that the students freshmen given that the students is a male O 12/20 718 5/20 O 1/20 QUESTION 18 find the In an exclusive county club, 68% of the members play bridge and drink champagne And 83% of members probability the member drinks champagne, given that the member plays bride play bridge if a member is selected ar 0.82 Ask me anything

Explanation / Answer

question 16)

number of freshmen = 12 in which 7 are male and 5 are female

number of sophomores =8 in wich 7 are female and 1 is male

The probability that student selected is sophomores = 8 /(8+12) = 8 /20 = 0.4

The probability that student selected is female = (7+5) /20 =12 / 20 = 0.6

The probability that student selected is sophomores and female = 7/ 20 = 0.35

The probability that student selected is sophomores or female = The probability that student selected is sophomores + The probability that student selected is female - The probability that student selected is sophomores and female

The probability that student selected is sophomores or female = 0.4 +0.6 - 0.35 = 0.65

Question17)

number of freshmen = 12 in which 7 are male and 5 are female

number of sophomores =8 in wich 7 are female and 1 is male

The probability that student selected is a freshman given that student is male = The probability that student selected is a freshman and The probability that student selected is a male / The probability that student selected is a male

The probability that student selected is a freshman given that student is male = (7/20) / (8/20)

The probability that student selected is a freshman given that student is male = 0.875

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