A record store owner knows that 25% of customers entering her store make a purchase.Consider a random sample consisting of 100 customers who entered the store.(a) What is the mean and variance of the sample proportion of customers making apurchase?(b) What is the probability that the sample proportion is less than 0.20?(c) She calculated the probability that the sample proportion is lower than a propor-tion a, and the probability turned out 0.05. Then what is this number a?

Let p be the proportion of customers entering the store make a purchase. Given that p = 0.25 Also,…

Answered: What is the mean and variance of the…

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...

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Alex wants to find out: if the standard deviation of the mean for the sampling distribution of random samples of size 256 from a large or infinite population is 9, how large must the sample size become if the standard deviation is to be reduced to 2.7 (or even smaller)?
Sadie deals 5 cards from a standard deck of 52 cards. She would like to deal as many spades as possible. Is it reasonable to approximate this distribution with a normal distribution? Give a reason.
The figure below represents the data from Table 3.6 in the book. It summarizes the lengths of hospital stays (days) for a sample 25 patients. Duration of hospitalization (days) 6. 1. 01-05 06-10 11-15 16-20 >20 What is the probability that someone stayed in the hospital at most 10 days? None of these choices are correct.
A sample of n = 6 scores has a mean of M = 5. One person with a score of X= 12 is added to the distribution. What is the mean for the new set of scores? O M= 8
(first part of question is attached) (e) What is the probability that the sample proportion of students of adults living with parents or other relatives is higher than 0.3? (f) What is the probability that the sample proportion of adults living alone is between 0.1 and 0.15?
K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

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