Suppose that the random variable z, shown below, represents the number times . P(x) represents theprobability of a randomly selected person having received that number of speeding tickets during thatperiod. Use the probability distribution table shown below to answer the following questions. 56I P(x)0 0.302810.274520.262930.088940.04060.03036+0.0000a) What is the probability that a randomly selected person has received one tickets in a three-year period?P(x = 1) = 0.2745b) What is the probability that a randomly selected person has received five tickets in a three-year period?P(r = 5) = 0.0303c) What is the probability that that a randomly selected person has received more than two tickets in athree-year period?P(x > 2)0.1598d) What is the probability that that a randomly selected person has received five or less tickets in a three-year period?P(x < 5) =1

Given data is x P(x) 0 0.3028 1 0.2745 2 0.2629 3 0.0889 4 0.0406 5 0.0303 6+…

Answered: Suppose that the random variable z,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: 1 3 4 8 P(X = x) |0.252 0.286 0.13 0.188 0.082 0.038 0.02 0.003 0.001 a. What is the probability that a randomly selected student changed his or her major at least once? b. What is the probability that a randomly selected student changed his or her major at most twice? c. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times? (Round your answer to three decimal places.)
The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age Number of Multiple Births 15-19 90 20-24 512 25-29 1633 30-34 2839 35-39 1842 40-44 379 45-54 115 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)=0.6320.632 (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=nothing (Type an integer or decimal rounded to three decimal places as needed.)
The table shows relative frequencies for red-green color blindness in one doctor's practice. M represents 'person is male' and C represents 'person is color-blind'. Use this table to find the following probability. P(MIC) = (Round to three decimal places, if necessary.) C M M' Totals C 0.042 0.008 0.05 C' 0.51 0.44 0.95 Totals 0.552 0.448 1.000
Assume that 12 jurors are randomly selected from a population in which 76% of the people are Mexican- Americans. Refer to the probability distribution table below and find the indicated probabilities. P(a) 0+ 1 0+ 0+ 0.0003 4. 0.0018 0.0092 6. 0.034 7 0.0924 8 0.1828 9. 0.2573 10 0.2444 11 0.1407 12 0.0371 Find the probability of exactly 5 Mexican-Americans among 12 jurors. P(x = 5) = 0.0092 Find the probability of 5 or fewer Mexican-Americans among 12 jurors. P(x < 5) = 3205 Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? yes O no Question Help: O Message instructor Submit Question 12 MAR tv 19 MacBook Air 11 F4 F5 F7
Suppose that the random variable xx, shown below, represents the number of speeding tickets a person received in a three-year period. P(x)P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. xx P(x)P(x) 0 0.3891 1 0.281 2 0.1497 3 0.098 4 0.0471 5 0.0351 6+ 0.0000 Would it be unusual to randomly select a person who has received four or more tickets in a three-year period? A. Yes B. NoIs it correct answer B?
A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. X 4 O 0 P(X=x) 0.0857 2 0.3208 3 0.2415 0.2447 0.1073 i ne mean number of children in a family with four girls iS b. Obtain the standard deviation of the random variable. 0= 1.1209 (Round to four decimal places as needed.) c. Construct a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals. Choose the correct histogram below. B. O C. D. Number of Girls Number of Girls Number of Girls Number of Girls 0.5- 0.5- 0.4- 0.3- 0.4- 0.5- 0.4- 0.3- 0.2- 0.1- 0.3- 0.2- 0.2- n 0.1- 0.1- 0 0012 0 1 2 3 4 01234 01234 01234 The mean is 2.0400. (Type an integer or decimal rounded to four decimal places as needed.) The one-standard-deviation interval is.. the…
Luz has noticed the probability distribution for X = number of cars in line to use the drive-thru ATM when she visits her bank is shown below. X 0 1 2 3 4 P(X) 0.10 0.10 0.40 0.30 0.10 What is the probability mean number of cars in line for the drive-thru ATM when Luz visits her bank?
For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX? xx P(x)P(x) 1 0.2077 2 0.0943 3 0.3281 4 0.1105 5 0.3232 A. yes B. noIs it correct answer B?
For familiés with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(x) 1 0.2862 0.0776 3. 0.1155 4 0.0491 0.3974 O no O yes 2.
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
For families with 5 children, let XX be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable XX? xx P(x)P(x) 1 0.2486 2 0.347 3 0.182 4 0.0226 5 0.3492 yes no
Assume that 12 jurors are selected from a population in which 50% of the people are Mexican-Americans. The random variable x is the number of Mexican-Americans on the jury. x 0 1 2 3 4 5 6 7 8 9 10 11 12 P(x) 0.0000.000 0.0030 0.0160 0.0540 0.1210 0.1930 0.2260 0.1930 0.1210 0.0540 0.0160 0.0030 0.0000 A. Find the probability of exactly 2 Mexican-Americans among 12 jurors. P(2)equals= b. Find the probability of 2 or fewer Mexican-Americans among 12 jurors. c. Does 2 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? Why or why not?

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