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Assume that a procedure yields a binomial distribution with a trial repeated n t

ID: 3221426 • Letter: A

Question

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n = 4, x = 3, p = 1/6 A) 0.023) 0.015 C) 0.004 D) 0.012 n = 30, x = 12, p = 0.20 A) 0.003 B) 0.014 C) 0.006 D) 0.108 Find the indicated probability. Round to three decimal places. A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?

Explanation / Answer

1.

P(n,x,p)

= P(4,3,1/6)

= 4C3(1/6)^3 (1-1/6)^1

= 4*5 / 6^4

= .0154

B is right answer

2)

P(n,x,p) = P(30,12,.20)

= 30C12 (.2^12)(1-.2)^18

= 0.00638

C is right answer

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