There is a frozen custard machine in the St. Louis airport that dispenses strawberry con- cretes randomly with probability and chocolate concretes otherwise.¹ (a) You are traveling with 6 other people and buy a concrete for everyone in the group, including yourself. What is the probability that 4 of you will get chocolate? (b) If 2 of you want strawberry would you expect to get enough strawberry for both of
There is a frozen custard machine in the St. Louis airport that dispenses strawberry con- cretes randomly with probability and chocolate concretes otherwise.¹ (a) You are traveling with 6 other people and buy a concrete for everyone in the group, including yourself. What is the probability that 4 of you will get chocolate? (b) If 2 of you want strawberry would you expect to get enough strawberry for both of
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:(4) There is a frozen custard machine in the St. Louis airport that dispenses strawberry concretes randomly with probability \(\frac{4}{15}\) and chocolate concretes otherwise.
(a) You are traveling with 6 other people and buy a concrete for everyone in the group, including yourself. What is the probability that 4 of you will get chocolate?
(b) If 2 of you want strawberry, would you expect to get enough strawberry for both of those 2 people? Why?
Expert Solution

Step 1
From the given information,
The probability of strawberry concrete is 4/15.
The probability of chocolate concrete is .
a)
Given that you are traveling with 6 other people and buy a concrete for everyone in the group, including yourself.
That is, the total number of people is6+1=7.
Let X be the number of people will get chocolate concrete follows binomial distribution with n=7 and .
The PMF for X is,
The probability that 4 of you will get chocolate is,
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