Part B Adrian sells cars for Honest Joe\'s car dealership. Adrian has never sold

Question

Part B Adrian sells cars for Honest Joe's car dealership. Adrian has never sold more than three cars in a given week. Given X is the number of cars sold by Adrian in a week, the probability distribution of X is summarized in the following table PeX) P0.45 0.25 0.05 (a) What is the probability of Adrian selling zero cars? (b) What is the probability of Adrian selling at least two cars? c) What is the probability of Adrian selling no more than one car? (d) Draw the probability distribution in a graphical form. (e) Adrian gets paid a bonus of $500 if he sells one car per week. For each additional car sold per week Adrian receives $300. Calculate his mean bonus.

Explanation / Answer

SolutionA:

total probability=1

p+0.45+0.25+0.05=1

p+0.75=1

p=1-0.75

p=0.25

P(X=0)=0.25

Adrin selling 0 cars=0.25

Solutionb:

P(atleast 2)=P(X>=2)=P(X=2)+P(X=3)

=0.25+0.05

=0.30

P(atleast 2)=0.30

Solutionc:

P(no more than 1)=P(X=0)+P(X=1)

=0.25+0.45

=0.70

ANSWER:0.70

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