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Question 1 The mean number of citizens voting in one of the provinces on the election day is 10 per hour. Find the probability that in the next hour there will be: a) Exactly 12 citizens showed up to vote. b) Between 9 and 12 citizens showed up to vote. c) At least 3 citizens showed up to vote. d) Find the mean and standard deviation of number of citizens voting in one of the provinces on the election day.

Question 1 The mean number of citizens voting in one of the provinces on the election day is 10 per hour. Find the probability that in the next hour there will be: a) Exactly 12 citizens showed up to vote. b) Between 9 and 12 citizens showed up to vote. c) At least 3 citizens showed up to vote. d) Find the mean and standard deviation of number of citizens voting in one of the provinces on the election day.

A First Course in Probability (10th Edition)
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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Classify the probability distribution of each problem? Then solve. Question 1 The mean number of citizens voting in one of the provinces on the election day is 10 per hour. Find the probability that in the next hour there will be: a) Exactly 12 citizens showed up to vote. b) Between 9 and 12 citizens showed up to vote. c) At least 3 citizens showed up to vote. d) Find the mean and standard deviation of number of citizens voting in one of the provinces on the election day. Question 2 When conducting a research on males, showed that 0.287 have color blindness. A researcher forms random group of five males. The random variable X is the number of males in the group who have a form of color blindness. Find the probability a) 4 males have color blindness. b) More than 3 males have color blindness. c) Less than 3 males have color blindness. d) Find the mean and standard deviation of males have color blindness. Question 3. The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that hetero couples should have the right to legal marital status. Suppose that you randomly select freshman from the study until you find one who replies "yes." You are interested in the number of freshmen you must ask. Find the probability that you ask a) 4 freshmen b) More than 5 freshmen c) Less than 3 freshmen d) Find the mean and standard deviation of number of freshmen you must ask until you find one who replies "yes."
Transcribed Image Text:Classify the probability distribution of each problem? Then solve. Question 1 The mean number of citizens voting in one of the provinces on the election day is 10 per hour. Find the probability that in the next hour there will be: a) Exactly 12 citizens showed up to vote. b) Between 9 and 12 citizens showed up to vote. c) At least 3 citizens showed up to vote. d) Find the mean and standard deviation of number of citizens voting in one of the provinces on the election day. Question 2 When conducting a research on males, showed that 0.287 have color blindness. A researcher forms random group of five males. The random variable X is the number of males in the group who have a form of color blindness. Find the probability a) 4 males have color blindness. b) More than 3 males have color blindness. c) Less than 3 males have color blindness. d) Find the mean and standard deviation of males have color blindness. Question 3. The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that hetero couples should have the right to legal marital status. Suppose that you randomly select freshman from the study until you find one who replies "yes." You are interested in the number of freshmen you must ask. Find the probability that you ask a) 4 freshmen b) More than 5 freshmen c) Less than 3 freshmen d) Find the mean and standard deviation of number of freshmen you must ask until you find one who replies "yes."
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