Solution Found!
A particular type of tennis racket comes in a midsize
Chapter 4, Problem 54E(choose chapter or problem)
A particular type of tennis racket comes in a midsize version and an oversize version. Sixty percent of all customers at a store want the oversize version.
(a) Among ten randomly selected customers who want this type of racket, what is the probability that at least six want the oversize version?
(b) Among ten randomly selected customers, what is the probability that the number who want the oversize version is within 1 standard deviation of the mean value?
(c) The store currently has seven rackets of each version. What is the probability that all of the next ten customers who want this racket can get the version they want from current stock?
Questions & Answers
QUESTION:
A particular type of tennis racket comes in a midsize version and an oversize version. Sixty percent of all customers at a store want the oversize version.
(a) Among ten randomly selected customers who want this type of racket, what is the probability that at least six want the oversize version?
(b) Among ten randomly selected customers, what is the probability that the number who want the oversize version is within 1 standard deviation of the mean value?
(c) The store currently has seven rackets of each version. What is the probability that all of the next ten customers who want this racket can get the version they want from current stock?
ANSWER:
Step 1 of 3
a).
Given 10 customers are selected randomly who want this type of racket.
Now we have to calculate the probability that at least six want the oversize version.
We know that 60% is the oversize version.
So = 0.60
Then
The formula of the binomial distribution is
Then,
0.2508+0.2150+0.1209+0.0403+0.0060
Therefore the probability that at least six want the oversize version is 0.6330.