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Question

xZvCap https://www-awh.connectmath.com/alekscgi/x/Ilsl.exe/1o_U-lgNslkr7j8P3jH-IBS Next Previous 2 3 4 5 6 5.2 Section Exercise 27, 28 Question 4 of 6 (1 point) View problem in a pop-up Take another guess: A student takes a multiple-choice test that has 12 questions. Each question has five choices. The student guesses randomly at each answer. Let be the number of questions answered correctly. Round the answers to three decimal places. Part 1 Find P(5) P(5) 0.053 Part 2 out of 2 Find P( More than 2). P (More than 2)-

Explanation / Answer

Solution:-

p = 1/5 = 0.20

n = 12

a) P(5) = 0.05315

x = 5

By applying binomial distribution:-

P(x, n) = nCxpx*(1-p)(n-x)

P(x = 5) = 0.05315

b) P(x > 2) = 0.44

x = 2

By applying binomial distribution:-

P(x, n) = nCxpx*(1-p)(n-x)

P(x > 2) = 1 - P(0) - P(1) - P(2)

P(x > 2) = 1 - 0.06872 - 0.2062 - 0.2835

P(x > 2) = 0.441

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