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A Web site randomly selects among 10 products to discount
Chapter 3, Problem 135E(choose chapter or problem)
Problem 135E
A Web site randomly selects among 10 products to discount each day. The color printer of interest to you is discounted today.
(a) What is the expected number of days until this product is again discounted?
(b) What is the probability that this product is first discounted again exactly 10 days from now?
(c) If the product is not discounted for the next five days, what is the probability that it is first discounted again 15 days from now?
(d) What is the probability that this product is first discounted again within three or fewer days?
Questions & Answers
QUESTION:
Problem 135E
A Web site randomly selects among 10 products to discount each day. The color printer of interest to you is discounted today.
(a) What is the expected number of days until this product is again discounted?
(b) What is the probability that this product is first discounted again exactly 10 days from now?
(c) If the product is not discounted for the next five days, what is the probability that it is first discounted again 15 days from now?
(d) What is the probability that this product is first discounted again within three or fewer days?
ANSWER:
Solution:
Step 1 of 5:
Let X follows the Geometric distribution with the density
P(X=x) =
Where, p = 0.1