In a reality program show, it has been studied that Mawi’s winning votes are according to a Poisson distribution with 5 votes per minute. Meanwhile, Siti’s winning votes are following the Poisson distribution with 4.5 votes per minute. (a) Calculate the probability that Mawi wins 5 votes or more within three minutes. (b) Within 1 hour of the program, calculate the probability that Siti wins more than 300 votes.[Hint: use normal approximation to solve the question] (c) After two hours running of the reality program, using the normal approximation and assuming that Mawi’s votes and Siti’s votes are mutually independent, find the probability that total Siti’s votes is higher than Mawi’s.
In a reality program show, it has been studied that Mawi’s winning votes are according to a Poisson distribution with 5 votes per minute. Meanwhile, Siti’s winning votes are following the Poisson distribution with 4.5 votes per minute. (a) Calculate the probability that Mawi wins 5 votes or more within three minutes. (b) Within 1 hour of the program, calculate the probability that Siti wins more than 300 votes.[Hint: use normal approximation to solve the question] (c) After two hours running of the reality program, using the normal approximation and assuming that Mawi’s votes and Siti’s votes are mutually independent, find the probability that total Siti’s votes is higher than Mawi’s.
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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Question 4
In a reality program show, it has been studied that Mawi’s winning votes are according to
a Poisson distribution with 5 votes per minute. Meanwhile, Siti’s winning votes are
following the Poisson distribution with 4.5 votes per minute.
(a) Calculate the
(b) Within 1 hour of the program, calculate the probability that Siti wins more than
300 votes.[Hint: use normal approximation to solve the question]
(c) After two hours running of the reality program, using the normal approximation
and assuming that Mawi’s votes and Siti’s votes are mutually independent, find the
probability that total Siti’s votes is higher than Mawi’s.
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