From past experience, Anna knows that the probability that her friend will take her to dinner in Orro Resto id 0.7, the probability that they will watch movies is 0.5, and the probability that he will take her to dinner or they will watch movies is 0.9. What is the probability that they will do both? they will do neither?

From past experience, Anna knows that the probability that her friend will take her to dinner in Orro Resto id 0.7, the probability that they will watch movies is 0.5, and the probability that he will take her to dinner or they will watch movies is 0.9. What is the probability that they will do both? they will do neither?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section11.4: Marketing Models

Problem 29P

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Concept explainers

Decision Theory in Operations Management

Decision theory, also known as the theory of choice, is a branch of statistics that deals with making decisions based on the probability of the occurrence of an event. The chief purpose of decision theory is to identify the best course of action for the company with maximum payoffs.

Question

4. From past experience, Anna knows that the probability that her friend will take her to dinner in Orro Resto id 0.7, the probability that they will watch movies is 0.5, and the probability that he will take her to dinner or they will watch movies is 0.9. What is the probability that

they will do both?

they will do neither?

5. Eight persons enter a supermarket. From the past experience, it is known that 25% of the people entering the supermarket make a purchase.

What is the possible values of the random variable X?

Construct the probability distribution of X.

P(X=x)

What is the probability that

1) at least four persons will make a purchase?

2) two or three persons will make a purchase?

3) a most two persons will make a purchase?

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