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 perhour. 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 theelection day.Question 2 When conducting a research on males, showed that 0.287 have color blindness. A researcherforms random group of five males. The random variable X is the number of males in the group who havea form of color blindness. Find the probabilitya) 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 incomingfirst-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 legalmarital 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 aska) 4 freshmenb) More than 5 freshmenc) Less than 3 freshmend)Find the mean and standard deviation of number of freshmen you must ask until you find one whoreplies "yes."

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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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6. The probability that a randomly chosen adult resident of Bayview city owns a boat is 0.16. The probability that a randomly chosen adult rents an apartment is 0.30. The probability that the adult owns a boat given they rent an apartment is 0.20. Find the probability that a randomly chosen adult rents an apartment and owns a boat.
9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed. a.) State the random variable. b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500. e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?
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According to a magazine, as of January 2018, 8% of chief executive officers were women. Complete parts a through d based on a random sample of 12 CEOs. a. What is the probability that one corporate officer was female? The probability is 0.3837 (Round to four decimal places as needed.) b. What is the probability that fewer than four corporate officers were female? The probability is 0.9880 (Round to four decimal places as needed.) c. What is the probability that more than two corporate officers were female? The probability is (Round to four decimal places as needed.)
According to the Disney Times, 37% of all people in NeverNeverLand are digitally illiterate. Suppose you randomly select eleven people off a city street. Make a probability distribution of the number of digitally illiterate people out of the eleven in the sample. Make a histogram showing the probability distribution of the number of digitally illiterate people out of the eleven people in the sample. Find the mean and standard deviation of the probability distribution. Find the probability of out of eleven people, at least 5 are digitally illiterate. Find the probability of out of eleven people, at most 8 are digitally illiterate. Find the probability of out of eleven people, between 6 and 9, inclusive, are digitally illiterate.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Twelve doctors work at a clinic, of which 3 were trained at Harvard Medical School. Four doctors are randomly selected from the 12 clinic doctors to attend a special conference. A. What is the probability that at least one of the doctors going to the conference is a Harvard Medical graduate? B. Find the standard deviation for the number of doctors out of the 4 that were trained at Harvard Medical School.
Add tables, inferences and conclusion if necessary

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