A nationwide survey of college seniors by the University ofMichigan revealed that almost 70% disapprove of daily potsmoking, according to a report in Parade. If 12 seniors areselected at random and asked their opinion, find theprobability that the number who disapprove of smoking potdaily is(a) anywhere from 7 to 9;(b) at most 5;(c) not less than 8explain the implications of varying numbersof samples with constant probability value in binomialdistribution. Also, explain the varying probability values inconstant sample size.

Given : n = 12 p = 0.70 X ~ Binomial(n =12, p = 0.70)

Answered: A nationwide survey of college seniors…

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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A study was performed to assess the feasibility of a national random digit dialing cellular phone survey among young adults age 18-34. It was reported that 3.2% of respondents were eligible to participate and that 55% of eligible respondents agreed to participate. Suppose 1000 potential participants are contacted to participate in this survey. What is the approximate probability that at least 12 of the 1000 participants will be eligible and agree to participate?
In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall state of moral values in the United Next qdestion survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral values, complete parts (a) through (g) below. (c) Using the binomial distribution, find and interpret the probability that exactly 10 of those surveyed feel the state of morals is poor. The probability that exactly 10 of those surveyed feel the state of morals is poor is. (Round to four decimal places as needed.) Interpret the results. In 100 trials of this experiment, we expect about to result in exactly 10 adults who feel the state of morals is poor. (Round to the nearest whole number as needed.) (d) Using the binomial distribution, find and interpret the probability that no more than 4 of those surveyed feel the state of morals is poor. The probability that no more than 4 of those…
The president of Doerman Distributors, Inc., believes that 28% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be between 0.16 and 0.40 (to 4 decimals)? What is the probability that the sample proportion will be between 0.21 and 0.35 (to 4 decimals)?
7) The Nationwide Motel Company has determined that 70 percent of all calls for motel reservations request nonsmoking rooms. Recently, the customer service manager for the company randomly selected 15 calls. Assuming that the distribution of calls requesting nonsmoking rooms is described by a binomial distribution, what is the probability that exactly 5 customers will request smoking rooms?
The article “Unmarried Couples More Likely to Be Interracial” (San Luis Obispo Tribune, March 13, 2002) reported that 7% of married couples in the United States are mixed racially or ethnically. Consider the population consisting of all married couples in the United States. When the n = 200, what is the probability that the proportion of couples in the sample who are racially or ethinically mixed will be greated than .10?
3. A study conducted at a large hospital found that 27.8 percent of all patients admitted to the hospital's ICU remained in the ICU for less than 24 hours. (A) If 8 patients are selected at random from the ICU patients at the hospital, what is the probability that 2 or fewer of them remained in the ICU for less than 24 hours? (B) Suppose that 20 patients are selected at random from the ICU patients at the hospital. Calculate the mean and standard deviation of the number of these patients who remained in the ICU for less than 24 hours. (C) Another result of the study was that for elective (non-emergency) admissions to the hospital's ICU, the length of the stay in the ICU had a mean of 18.9 hours and a standard deviation of 3.9 hours. Assuming that the length of stay in the ICU for elective admissions is normally distributed, what proportion of elective admissions remained in the ICU for less than 24 hours?
According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you s bench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c). (a) Using the binomial distribution, what is the probability that among 10 randomly observed individuals, exactly 8 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.). (b) Using the binomial distribution, what is the probability that among 10 randomly observed individuals, fewer than 4 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.) (c) Using the binomial distribution, would you be surprised if, after observing 10 individuals, fewer than half covered their mouth when sneezing? Why? it (Round to four decimal places as needed.) be surprising, because the probability is, which is C 0.05.
A manufacturer wishes to estimate the accuracy of its final visual inspection process. A random sample of 180 devices is selected from production. An item is defective or “bad” if it contains at least one visually noticeable cosmetic defect. The process improvement team agrees that the sample contains 27 bad items and 153 good items. The team gives the items to a “certified” operator for inspection. The operator rejects 10 good pieces and accepts 11 bad pieces and classifies the remainder correctly. What is the probability that the inspector will reject an item? P(inspector will reject an item) = ________%. Enter value using one decimal place.
If the probability of a machine producing a defective part is 0.01, what is the probability of finding exactly 1 defective part from a sample of 10? (Assume that the process follows a binomial distribution)

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