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
-----------------------
(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
--------------------
(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
---------------
Cheers,
Stan H.
--------------
|
|
|
