Question

The following relates to Problems 5-6. In this problem, we still consider the car service company's budgeting plans, but we are no longer interested in X and Y. Therefore, this problem is independent of previous problems. The company sales manager estimates that the proportion of customers who received a gift card at the end of the year is 0.10, and that the number of customers, T, between two consecu- tive gift card receivers is a geometric random variable. Problem 5: Given that the company already rotated the tires of 100 distinct customers, the chance that the company will have to rotate the tires of at least additional 10 distinct customers before seeing the first repeat customer is $\left(\frac{1}{10}\right)^{10}$; [2] $\left(\frac{1}{9}\right)^{10}$; [3] $1 - \left(\frac{9}{10}\right)^{10}$; [4] $\left(\frac{9}{10}\right)^{10}$; [4] Problem 6: The probability that the company rotated the tires of at most 400 distinct cars from the beginning of the year before seeing the 10th repeat customer is approximately (show your work); [4]

          The following relates to Problems 5-6.
In this problem, we still consider the car service company's budgeting plans, but we are no
longer interested in X and Y. Therefore, this problem is independent of previous problems.
The company sales manager estimates that the proportion of customers who received a gift
card at the end of the year is 0.10, and that the number of customers, T, between two consecu-
tive gift card receivers is a geometric random variable.
Problem 5: Given that the company already rotated the tires of 100 distinct customers, the
chance that the company will have to rotate the tires of at least additional 10 distinct customers
before seeing the first repeat customer is
$\left(\frac{1}{10}\right)^{10}$; [2] $\left(\frac{1}{9}\right)^{10}$; [3] $1 - \left(\frac{9}{10}\right)^{10}$; [4] $\left(\frac{9}{10}\right)^{10}$;
[4]
Problem 6: The probability that the company rotated the tires of at most 400 distinct cars from
the beginning of the year before seeing the 10th repeat customer is approximately (show your
work);
[4]

The following relates to Problems 5-6.
In this problem, we still consider the car service company's budgeting plans, but we are no
longer interested in X and Y. Therefore, this problem is independent of previous problems.
The company sales manager estimates that the proportion of customers who received a gift
card at the end of the year is 0.10, and that the number of customers, T, between two consecu-
tive gift card receivers is a geometric random variable.
Problem 5: Given that the company already rotated the tires of 100 distinct customers, the
chance that the company will have to rotate the tires of at least additional 10 distinct customers
before seeing the first repeat customer is
((1)/(10))^10; [2] ((1)/(9))^10; [3] 1 - ((9)/(10))^10; [4] ((9)/(10))^10;
[4]
Problem 6: The probability that the company rotated the tires of at most 400 distinct cars from
the beginning of the year before seeing the 10th repeat customer is approximately (show your
work);
[4]

Added by Sarah L.

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