The number of home runs in a baseball game is assumed to have a Poisson distribution with a mean of 3. As a promotion, a company pledges to donate $10,000 to charity for each home run hit up to a maximum of 3. Find the expected amount that the company will donate. Another company pledges to donate C for each home run over 3 hit during the game, and C is chosen so that the second company's expected donation is the same as the first. Find C.

The number of home runs in a baseball game is assumed to have a Poisson distribution with a mean of 3. As a promotion, a company pledges to donate $10,000 to charity for each home run hit up to a maximum of 3. Find the expected amount that the company will donate. Another company pledges to donate C for each home run over 3 hit during the game, and C is chosen so that the second company's expected donation is the same as the first. Find C.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

This graph shows data from people from the sub-Saharan area of Africa who have contracted HIV. Outcomes for the patients were recorded as one of 4 mutually possibilities: alive and still in care at the original clinic, alive and still in care after transferring to a new clinic, alive but no longer visiting a clinic, or they’re dead. Keep in mind that this data were collected are from clinical records. Assume that the sample is a random representation of sub-Saharan Africans with HIV. Antiretroviral therapy is used to treat patients. What is the experimental unit? What are the variables (including the types)?
The number of calls made by a telemarketer follows a Poisson distribution with a mean of 2 calls in one minute. Find the probability that the telemarketer makes at most 8 calls in 3 minutes. Round to 4 places.
A school newspaper reporter decides to randomly survey 15 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 13% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. O Part (a) O Part (b) O Part (c) Give the distribution of X. -O(0:0) O Part (d) How many of the 15 students do we expect to attend the festivities? (Round your answer to the nearest whole number.) student(s) O Part (e) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.) O Part (f) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…
A bakery produces an average of 50 loaves of bread per day. The number of loaves produced by the bakery follows a Poisson distribution. What is the probability that the bakery will sell at least two loaves of bread in a day? Explain each step along with the computation.
Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute:Find the probability of 8 customers or less arriving within a minute. Find the probability of more than 7 customers arriving within a minute. Find the probability of 3 customers arriving within a minute.
SOLVE STEP BY STEP IN DIGITAL FORMAT 10. The semarnat has set the average number of bacteria per cm3 of water at 70, as a limit. An average value greater than 70 can cause hepatitis in people who eat clams. It has been shown that the probability distribution of the number of bacteria can be modeled as a normal one. In order to decide if certain waters meet the standard, nine water samples were taken, and the following bacteria counts were obtained: 69,74,75,70,72,73,71,73,68. Do the data show that the waters are safe for fishing, at the 5% level of significance?