Women who date John will decide to go on a second date with him with probability 0.3. (a) What is the probability that at least one of the next three women John dates will agree to go on a second date with him? Which distribution are you using, and what are the parameters? (b) What is the probability that John has to date four women until he finds one that agrees to go on a second date? Which distribution are you using, and what are the parameters? (c) If John spends on average $50 when he is on a second date what is the expected value and standard deviation of the amount of money he will spend on "second dates" after taking out three women on first dates?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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please answer part c 

Women who date John will decide to go on a second date with him with probability
0.3.
(a) What is the probability that at least one of the next three women John dates
will agree to go on a second date with him? Which distribution are you using,
and what are the parameters?
(b) What is the probability that John has to date four women until he finds one
that agrees to go on a second date? Which distribution are you using, and what
are the parameters?
(c) If John spends on average $50 when he is on a second date what is the expected
value and standard deviation of the amount of money he will spend on "second
dates" after taking out three women on first dates?
Transcribed Image Text:Women who date John will decide to go on a second date with him with probability 0.3. (a) What is the probability that at least one of the next three women John dates will agree to go on a second date with him? Which distribution are you using, and what are the parameters? (b) What is the probability that John has to date four women until he finds one that agrees to go on a second date? Which distribution are you using, and what are the parameters? (c) If John spends on average $50 when he is on a second date what is the expected value and standard deviation of the amount of money he will spend on "second dates" after taking out three women on first dates?
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