Let the random variable X denote the number of girls in a five-child family. If the probability of a female birth is 0.5, find the following probabilities.(a) Find the probability of 0, 1, 2, 3, 4, and 5 girls in a five-child family. (Round your answers to three decimal places.)P(0 girls) =P(1 girl) =P(2 girls) =P(3 girls) =P(4 girls) =P(5 girls) =(b) Construct the binomial distribution, and draw the histogram associated with this experiment.Probability0.50.50.40.40.30.30.20.20.10.1Girls3440.50.50.40.40.30.30.20.20.10.112424(c) Compute the mean and the standard deviation of the random variable X. (Round your standard deviation to three decimal places.)meangirlsstandard deviationgirls

a. The probability of x successes in n independent trials is given by, Here, X is the binomial…

Answered: Let the random variable X denote the…

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 local election will be held with 12 candidates running for a new county governing board. Four candidates will be elected to the board. Of the 12 running, 6 are Democrats, 4 are Republicans, and 2 are Independents. What is the probability of electing all Democrats to the board? (Use x/y for your answer. For example: 1/2)
In a large population, 68 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction.
A bag contains 1 dime, 1 nickel, and 7 pennies. We will draw out 2 coins at random, and look at what we get. (Note that this is without replacement.) Let x be the random variable that represents the total value of the two coins drawn. List the possible values of x. Put them on the table at right. Find the probability of each value. Put them on the table at right. (If your probabilities do not add to 1, you have made a mistake.)
The probability of rain during winter is 0.8. The probability of a heat wave during winter is 0.1. Rain and heat waves cannot coexist at the same time. What is the probability of having either a rainy day or a heat wave during winter? a. 1 b. 0.9 c. 0.08 d. 0.82
A group of people were asked if they had run a red light in the last year. 470 responded "yes", and 283 responded "no".Find the probability that if a person is chosen at random, they have run a red light in the last year.
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
Consider the situation that two events A and B are independent. P(A) = 0.2 and P(B)= 0.5. What is the probability that both events A and B occur?
A researcher is selecting lab rats for her experiment. She assigns each rat a number and picks numbers out of a hat while blindfolded. The pool of rats from which she is drawing participants is composed of the following: 23 male albino rats 21 male spotted rats 35 female albino rats 11 female spotted rats If she reaches into the hat once, what is the probability of choosing a female rat or an albino rat? Give your answer as a decimal rounded to 4 decimal places.
72% of all Americans are home owners. If 49 Americans are randomly selected, find the probability that Exactly 34 of them are home owners. ___________
The probability that a child will like a new flavor of ice cream is 0.72. In a group of nine children find the probability that at least 7 children like the new flavor.
n a large population, 60 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?Give your answer as a decimal (to at least 3 places) or fraction.
At a local company, 15% of the employees are women. Every day, 7% of the women bring their lunch to work, while only 3% of the men bring lunch. Find the probability that a randomly selected employee is a woman given that the person brings their lunch to work. A. 0.150 B. 0.011 C. 0.708 D. 0.292 E. 0.070

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