# The probability that a randomly selected box of a certain ## Problem 75E Chapter 3

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 75E

The probability that a randomly selected box of a certain type of cereal has a particular prize is .2. Suppose you purchase box after until you have obtained two of these prizes. a. What, is the probability that you purchase x boxes that do not have the desired prize? b. What is the probability that you purchase four boxes? c. What is the probability that you purchase at most four boxes? d. How many boxes without the desired prize do you expect to purchase? How many boxes do you expect to purchase?

Step-by-Step Solution:

Answer : Step 1 : Given the probability that a randomly selected box of a certain type of cereal has a particular prize is 0.2. Suppose you purchase box after until you have obtained two of these prizes. a). Now we have to find the probability that you purchase x boxes that do not have the desired prize. We purchase x boxes that do not have the desired prize is P(do not have the desired prize) =1-(0.2)x Step 2 : b). Now we have to the probability that you purchase four boxes. P(purchase four boxes) = (0.2) 4 P(purchase four boxes) = (0.2) (0.2) (0.2) (0.2) P(purchase four boxes) = 0.0016

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##### ISBN: 9780321629111

The full step-by-step solution to problem: 75E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This full solution covers the following key subjects: Purchase, boxes, Probability, prize, box. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. Since the solution to 75E from 3 chapter was answered, more than 2858 students have viewed the full step-by-step answer. Probability and Statistics for Engineering and the Sciences was written by and is associated to the ISBN: 9780321629111. The answer to “The probability that a randomly selected box of a certain type of cereal has a particular prize is .2. Suppose you purchase box after until you have obtained two of these prizes. a. What, is the probability that you purchase x boxes that do not have the desired prize? b. What is the probability that you purchase four boxes? c. What is the probability that you purchase at most four boxes? d. How many boxes without the desired prize do you expect to purchase? How many boxes do you expect to purchase?” is broken down into a number of easy to follow steps, and 92 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences, edition: 9.

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