A local public-action group solicits donations by telephone. For a particular list of prospects, it was estimated that for any individual the probability was 0.05 of an immediate donation by credit card, 0.29 of no immediate donation but a request for further information through the mail, and 0.66 of no expression of interest. Information is mailed to all people requesting it, and it is estimated that 30% of these people will eventually donate. An operator makes a sequence of calls, the outcomes of which can be assumed to be independent. What is the probability that the first call leading to an immediate credit card donation is preceded by at least five calls that do not lead to an immediate donation? (Round to three decimal places as needed)

A local public-action group solicits donations by telephone. For a particular list of prospects, it was estimated that for any individual the probability was 0.05 of an immediate donation by credit card, 0.29 of no immediate donation but a request for further information through the mail, and 0.66 of no expression of interest. Information is mailed to all people requesting it, and it is estimated that 30% of these people will eventually donate. An operator makes a sequence of calls, the outcomes of which can be assumed to be independent. What is the probability that the first call leading to an immediate credit card donation is preceded by at least five calls that do not lead to an immediate donation? (Round to three decimal places as needed)

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

A cell phone service provider claims that only 1% of their calls get "dropped" (i.e., neither party hangs up, but the connection is lost). You work for the Consumer Protection Agency, and believe that the percent of dropped calls from this provider is higher than 1%. Your agency has been granted access to this company's detailed call records. It takes careful examination of each call transaction to determine if the call can be considered a "dropped call", so you are not able to easily calculate the actual percent of dropped calls directly from the entire database of millions of calls. So, you decide to take a random sample of 2500 calls, and each call is classified as "dropped" or "not dropped". Of the 2500 calls examined, 1.462% of them were classified as "dropped". Calculate the appropriate test statistic. Enter with 2 decimals (eg. 1.96).
A manufacturer of exercise equipment knows that 15% of their products aredefective. They also know that only 35% of their customers will actually use the equipment in the first year after it is purchased. If there is a one-year warranty on the equipment, what proportion of the customers will actually make a valid warranty claim?
Mr. William Profit is studying companies going public for the first time. He is particularlyinterested in the relationship between the size of the offering and the price per share.A sample of 15 companies that recently went public revealed the following information.
According to a New York Times/CBS poll, 76% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 35% agreed that it would be a good idea to invest part of their Social Security taxes on their own. What is the smallest percentage of people who could have agreed with both statements?
According to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1056 in 2018. Consider the population of “last-minute” filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of σ = $1,600 may be assumed. Test the researcher's assertion using the critical value approach. Use α = 0.05 (Please include all the 7 steps in hypothesis testing) Steps in hypothesis testing p-value Approach Develop the null and alternative hypothesis Specify the level of significance, α Choose the test statistic (z or t) Calculate the test statistic Use the value of the…
haffened 5. The CBS TV show 60 Minutes has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to 60 Minutes during its time slot (based on data from Nielsen Media Research). Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 10 households with TV sets in use during the 60 Minutes time slot. a. Find the probability that at least one household is tuned to 60 Minutes. لوم b. Find the probability that none of the households are tuned to 60 Minutes. c. Find the probability that at most two households are tuned to 60 Minutes. d. Find the probability that between two & five of the households are tuned to 60 Minutes. e. Based on your results, do you believe the claim made by the Nielsen Ratings?
A survey reported that 10% of 1800 employees favored a new insurance program. How many employees favored the new program?
a hospital wants to estimate the percentage of admitted patients who receive Medicare benefits. if we want that percentage based on examination of randomly selected patient payment records, how many patient records must be examined in order to be 95% confident that we are within four percentage points of the population percentage?s
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA increased in price.On the basis of this fact, a financial analyst claims we can assume that 76% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 78 stocks traded on the NYSE that day showed that 62 went up. You are conducting a study to see if the proportion of stocks that went up is significantly different from 76%. You use a significance level of α=0.01. a. The test statistic = (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 4 decimal places.)
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA increased in price. On the basis of this fact, a financial analyst claims we can assume that 55% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 79 stocks traded on the NYSE that day showed that 48 went up. You are conducting a study to see if the proportion of stocks that went up is significantly different from 55%. You use a significance level of a = 0.025. 1. For this study, we should use Select an answer 2. The null and alternative hypotheses would be: Ho:? v Select an answer v (please enter a decimal) Hi:? vSelect an answer v (Please enter a decimal) 3. The test statistic (please show your answer to 3 decimal places.) 4. The p-value = (Please show your answer to 4 decimal places.) 5. The p-value is ? va 6. Based on this, we should Select an…
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA increased in price.On the basis of this fact, a financial analyst claims we can assume that 68% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 55 stocks traded on the NYSE that day showed that 35 went up. You are conducting a study to see if the proportion of stocks that went up is significantly different from 68%. You use a significance level of α=0.05α=0.05. The null and alternative hypotheses would be: H0H0: ? μ p Select an answer = < > ≠ (please enter a decimal) H1H1: ? μ p Select an answer < = ≠ > (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA increased in price.On the basis of this fact, a financial analyst claims we can assume that 76% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 61 stocks traded on the NYSE that day showed that 43 went up. You are conducting a study to see if the proportion of stocks that went up is significantlysmaller than 76%. You use a significance level of α=0.01α=0.01. For this study, we should use Select an answer 2-SampTInt 2-PropZInt 1-PropZInt T-Test χ²GOF-Test 2-SampTTest 2-PropZTest TInterval ANOVA 1-PropZTest χ²-Test The null and alternative hypotheses would be: H0H0: ? p μ Select an answer > = < ≠ (please enter a decimal) H1H1: ? p μ Select an answer ≠ = > < (Please enter a decimal) The test statistic =…