09 Midterm Review-1

# A what is the probability that the next customer will

• Notes
• 35

This preview shows pages 31–35. Sign up to view the full content.

a) What is the probability that the next customer will purchase a gift? Denote by M and F the event that a customer is a male and female, respectively. Denote by G the event that a customer makes a purchase. The question states that P(G|M)=.60, P(G|F)=.80, and P(F)=.65. We are asked to compute P(G). P(G) = P(G|M)P(M) + P(G|F)P(F)= (.60)(1-.65) + (.80)(.65)=.73 The probability of selling a gift is 73% for this particular gift shop.

This preview has intentionally blurred sections. Sign up to view the full version.

Example 32 For each of the three situations below, argue whether a Binomial, Poisson, or neither distribution is more appropriate. b) Number of customers who visit the gift shop in the next hour. c) Number of female customers who visit the gift shop in the next hour. d) Number of male customers among the first 10 customers who visit the gift shop.
Example 33 For each of the three situations below, argue whether a Binomial, Poisson, or neither distribution is more appropriate. b) Number of customers who visit the gift shop in the next hour. Poisson distribution. c) Number of female customers who visit the gift shop in the next hour. Poisson distribution. d) Number of male customers among the first 10 customers who visit the gift shop. Binomial distribution.

This preview has intentionally blurred sections. Sign up to view the full version.

Example 34 Phone calls arrive at a rate of 8 per hour to a reservation desk. a) What is the probability that exactly 8 calls arrive in the next hour? b) What is the probability that no calls arrive in the next half an hour? c) What is the probability that at least one call arrives in the next half an hour?
Example 35 We use Poisson distribution. a) What is the probability that exactly 8 calls arrive in the next hour? Let X denote the number of calls that arrive in the next hour. X has a Poisson distribution with a rate of 8/hr, t=1hr P(X=8)= b) What is the probability that no calls arrive in the next half an hour? P(X=0)= c) What is the probability that at least one call arrives in the next half an hour? We are asked to compute P(X≥1)=1-P(X=0). We computed P(X=0) in part (b), as a result, P(X≥1) = 1- 0.0183 = 0.9817. (8*1) 8 e - 8*1 8! = 0.1396 (8*0.5) 0 e - 8*0.5 0! = 0.0183
This is the end of the preview. Sign up to access the rest of the document.
• Fall '12
• StephenD.Joyce
• Probability, Probability theory, Cumulative distribution function, Discrete probability distribution

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern