Question

# Motivation Level Talent High Medium Low Total High 6 18 6 Medium 21 35 6 Low...

 Motivation Level Talent High Medium Low Total High 6 18 6 Medium 21 35 6 Low 12 6 2 Total

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:

 X 0 1 2 3 P(X) p 0.45 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.

( 1 )

The following cross tablulation have been provided. The row and column total have been calculated and they are shown below:

 Observed Column 1 Column 2 Column 3 Total Row 1 6 18 6 30 Row 2 21 35 6 62 Row 3 12 6 2 20 Total 39 59 14 112
 Expected Values Column 1 Column 2 Column 3 Total Row 1 39*30/112 = 10.446 59*30/112 = 15.804 14*30/112 = 3.75 30 Row 2 39*62/112 = 21.589 59*62/112 = 32.661 14*62/112 = 7.75 62 Row 3 39*20/112 = 6.964 59*20/112 = 10.536 14*20/112 = 2.5 20 Total 39 59 14 112

Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

H0?: The high motivation and high talent are independent

Ha?: The high motivation and high talent

Assume alpha =0.05

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