O https//webwork.dayton.eu/webwork2/M231-06 SP18Reveu23/e ReviewQuiz2: Problem 3

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O https//webwork.dayton.eu/webwork2/M231-06 SP18Reveu23/e ReviewQuiz2: Problem 3 Previous Probiem Problem List Next Probiem (1 pont) Suppose tat you np a con 16 tres The con sighty tavors heads over tats, so thre s a 5 0% chance that any partcuir tp comes up What is the probability at exacly 13 fips come up heads? What s the probabity that 13 or more fips come up heads? What is the probability that lewer than 13 fips come up heads? Note. 'Fewer than 13' is not the same thing as ness than or equal to 137 Round each answer to at least theee decimal places) Note: You can ean partai credt on this probiem My Answers you have atempted ths probiem 0 tmes You have 3 attempts ebefore new version will be requested You have unimited attempts remaining to search 8 CV

Explanation / Answer

p = 0.59

n = 16

This is a binomial distribution

P(X = x) = 16Cx * 0.59x * (1 - 0.59)16-x

a) P(X = 13) = 16C13 * 0.5913 * 0.413 = 0.0405

b) P(X > 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16)

                     = 16C13 * 0.5913 * 0.413 + 16C14 * 0.5914 * 0.412 + 16C15 * 0.5915 * 0.411 + 16C16 * 0.5916 * 0.410

                     = 0.0556

c) P(X < 13) = 1 - P(X > 13) = 1 - 0.0556 = 0.9444

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