5) A binomial experiment has 10 trials with the probability of success on any tr

Question

5) A binomial experiment has 10 trials with the probability of success on any trial-p-0.5. Find the probability of exactly4 successes in the 10 trials. (Use the binomial probability distribution function.) A) 0.2051 B) 0.0425 C) 0.0136 D) 0.2159 E) 0.1115 6) A student takes a multiple choice test with 12 questions. Each question has 4 possible answers only one of which is correct. If this student guesses on all of the questions what is the probab five correct answers? A) 0.1974 B) 0.1032 C) 0.2323 D) 0.1483 E) 0.1905

Explanation / Answer

1. p is 0.5, N is 10

for binomial distribution we can use excel to find P(x=4)=BINOM.DIST(4,10,0.5,FALSE) =0.2051 or option A

2. p is 0.25 , N is 12

for binomial distribution we can use excel to find P(x=5)=BINOM.DIST(5,12,0.25,FALSE) =0.1032 or option B

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