CFA Practice Question

There are 434 practice questions for this study session.

CFA Practice Question

Sixty percent of the customers of a fast food chain order the Whopper, fries, and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?
A. 0.403
B. 0.186
C. Neither of these answers
Explanation: This is a binomial probability. The probability of getting r successes out of n trials, where the probability of success of each trial is p and probability of failure of each trial is q (where q = 1 - p), is given by: n!(pr)[q(n-r)]/r!(n-r)!. Therefore, we need to find the probability of getting 10, 11,12,13,14,15 successes and add them up. Here, n=15, p=0.6, and q=0.4. r changes from 10 to 15.

p(10 successes) = 15!(0.610)(0.45)/10!(15-10)! = 0.1859
p(11 successes) = 15!(0.611)(0.44)/11!(15-11)! = 0.1268
p(12 successes) = 0.0634
p(13 successes) = 0.0219
p(14 successes) = 0.0047
p(15 successes) = 0.00047

The sum of all the probabilities is 0.403.

User Contributed Comments 4

User Comment
haarlemmer yes, if you'd take the risk. obviously the answer could either be b or d. assuming d is not, b therefore is the answer
steved333 yeah, ya might want to take the risk on this one then come back to it if there's time. this one takes a little while...
endurance Obvious very time consuming at exam - you are asked for P(10 or more) - then, you need only to calculate P(10)which is 0,186 and resonate that the prob is higher than B.
zed888 endurance - one of the answers is 'none of these answers' - so you're taking a 50/50 guess
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