Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. find the probabilities. convenient, use the appropriate probability table or technology to The mean number of births per minute in a country in a recent year was about five. Find the probability that the number of births in any given minute is (a) exactly six, (b) at least six, and (c) more than six (a) P(exactly six) = '0.1462 (Round to four decimal places as needed.) (b) P(at least six)= (Round to four decimal places as needed.)

Q: The mean number of boxes shirts purchased from a souvenir store per week is 5. Find the probability…

A:

Q: Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2.…

A: poisson distribution is given by

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A:

Q: In an election, suppose that 50% of voters support the incumbent candidate. If we poll 92 of these…

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A:

Q: The mean customer aarival for a book store in a day is 8. What is the probability that on a given…

A: We have givenλ = 8X ~ Poisson (λ = 8)Formula: P(X = x ) = (e-λλx)/x!

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A: Given datan=7p=0.16Binomial theoremProbability of x success out of n trial is given by

Q: hat is the probability that at least one of the students got a score? Round to four decimal place.

A: Let , X be the number of students got a score Here , X→B(n=3 , p=0.33) The probability mass function…

Q: Births In a recent year, NYU-Langone Medical Center had 4221 births. Find the mean number of births…

A: Mean of Poisson distribution:The formula is given by,

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A: P(red lolly) = 5/7 P(not red lolly) = 1-P(red lolly) = 1-(5/7) = 2/7

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A: Given data; Response Frequency very prepared 260 somewhat prepared 993 not too prepared 529…

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A: Given that the random variable X represents the number of girls. n represents the total number of…

Q: In a hospital, about 3 patients came to the emergency room between 5:00 and 6:00 p.m. The…

A: We have to find given probability..

Q: Construct a probability distribution for tossing two coins. Let x represents the number of tails.

A: Given that two coins are tossed.

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A:

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

A:

Q: A pair of fair dice is rolled. Let X denote the sum of the number of dots on the top faces. Find the…

A: Given: A pair of fair dice is rolled. X is the random variable denoting the sum of dots on the top…

Q: The Wilson family had 8 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Given, A family had 8 children and probability of child being a girl is 0.5.

Q: A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1,…

A: It is given that the each of 2,4, 6 is twice as likely to come up as each of 1,3,5.