In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years orolder has been involved in. Compute and interpret the mean of the random variable X.P(x) O0.26910.5730.1230.02940.0050.001Hx =(Type an integer or a decimal. Do not round.)marriages ABD1P(x)0.269310.57320.12330.0290.005540.0018.10119,

Answered: In the probability distribution to the…

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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Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) ... X 3 4 5 6 P(x) 0.35 ? 0.38 0.12
Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) X P(x) 3 0.16 4 ? 5 0.40 6 0.15 ...
A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 What is the average number of blue cards drawn? What is the probability that at most one blue card is drawn?
High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors. Give answer as a decimal. b) Find the probability of more than 4 Mexican-Americans among 12 jurors. Give answer as a decimal.
Assume that 12 jurors are randomly selected from a population in which 86% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. � �(�) 0 0+ 1 0+ 2 0+ 3 0+ 4 0+ 5 0.0004 6 0.0028 7 0.0148 8 0.0569 9 0.1553 10 0.2863 11 0.3197 12 0.1637 Find the probability of exactly 5 Mexican-Americans among 12 jurors.�(�=5)= Find the probability of 5 or fewer Mexican-Americans among 12 jurors.�(�≤5)= Does the occurrence of 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?
A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05
Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) X P(x) 3 0.16 4 ? 5 0.40 6 0.15 ...
A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 1. If we replaced the yellow card in the first deck with another blue card, what would be the probability of drawing two blue cards? 2. If we replaced the yellow card in the first deck with another blue card, what distribution would the variable X follow?
Adrian plays on the Varsity Boys basketball team. He successfully scores approximately 38% of his attempted shots. In the first half of a given basketball game, Adrian takes 6 attempted shots on net. What kind of probability distribution does this situation represent? A. Hypergeometric B. Binomial C. uniform D. Both Binomial and Hypergeometric E. none of these

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