SOLUTION: This has been a tough one for me and any help is greatly appreciated! Mimi plans to make a random guess at 10 true-or-false questions. Answer the following questions: (a) A

Question 1049352: This has been a tough one for me and any help is greatly appreciated!
Mimi plans to make a random guess at 10 true-or-false questions. Answer the following questions:
(a) Assume random number X is the number of correct answers Mimi gets. As we know, X follows a binomial distribution. What is n (the number of trials), p (probability of success in each trial) and q (probability of failure in each trial)?

(b) What is the probability that she gets at least 8 correct answers? (Show work and round the answer to 4 decimal places)

(c) How many correct answers can she expect to get? (Hint : What is the expected value of the binomial distribution?) (Show work)
Thank you for any help you can offer!

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mimi plans to make a random guess at 10 true-or-false questions. Answer the following questions:
(a) Assume random number X is the number of correct answers Mimi gets. As we know, X follows a binomial distribution. What is n (the number of trials), p (probability of success in each trial) and q (probability of failure in each trial)?
n = 10
p = q = 1/2
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(b) What is the probability that she gets at least 8 correct answers? (Show work and round the answer to 4 decimal places)
P(8<= x <=10) = 1 - binomcdf(10,1/2,7) = 0.0547
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(c) How many correct answers can she expect to get? (Hint : What is the expected value of the binomial distribution?)
mean = n*p = 10*(1/2) = 5
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Cheers,
Stan H.
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