Assume that 20% of U.S. adults subscribe to the \"five-second rule.\" That is, they would eat...

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Assume that 20% of U.S. adults subscribe to the \"five-secondrule.\" That is, they would eat a piece of food that fell onto thekitchen floor if it was picked up within five seconds.
(1) Assuming this is a binomial situation, calculate theprobability that more than 325 respondents in a survey of 1500people, would subscribe to the five-second rule.
(Round your answer to the nearest 3 decimal places, show whatyou typed into the calculator,and define n, p, and r.)
(2) Provide evidence that conducting a normal approximation inthis scenario would be appropriate.
(3) The survey went out to 1500 people . Calculate the mean andstandard deviation.
(Label the mean and standard deviation clearly. Round to 3decimal places where necessary.)
(4) Use the normal approximation method to answer the samequestion asked in part calculate the probability that more than 325respondents in a survey of 1500 people would subscribe to thefive-second rule. Show your work and round your answer to thenearest 3 decimal places.
(5) Your answers to questions 1 and 4 should have been fairlysimilar. Explain why your work in question 2 ensures that theprobabilities you calculated using both methods would be close toone another.

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3.7 Ratings (346 Votes)

Probability of more than 325 respondents following five secondrule is the one which is selected above ie 005097The above probability cannot be directly calculated as See Answer

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