Four rats are selected at random from a cage of 5 male (M) and 4 female (F) rats. If the random variable Y is concerned with the number of female rats taken out of the cage.construct the probability distribution and answer the questions below. (input up to 4 decimal places)A. What is the probability that all selected rats are female?B. What is the probability that only one of the selected rats is female?C. What is the probability that at least two of the selected rats is female?D. What is the mean of the probability distribution?E. What is the standard deviation of the probability distribution?

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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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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.
A test was given to a group of students. The grades and gender are summarized below A B C Total Male 8 13 6 27 Female 11 14 3 28 Total 19 27 9 55 If one student is chosen at random from those who took the test,Find the probability that the student was male GIVEN they got an 'A'.
A test was given to a group of students. The grades and gender are summarized below A B C Total Male 18 5 8 31 Female 3 2 20 25 Total 21 7 28 56 If one student is chosen at random from those who took the test,Find the probability that the student got a 'B' GIVEN they are female.
A test was given to a group of students. The grades and gender are summarized below If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'B'.
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The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…
A test was given to a group of students. The grades and gender are summarized below A B C Total Male 2 15 3 20 Female 14 8 18 40 Total 16 23 21 60 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got a 'A'.
A jar contains 12 coins: 6 pennies, 2 nickels and 4 dimes. A child selects 2 coins at random without replacement from the jar. Let X be the sum of the value of the 2 coins. Determine the probability distribution of X. Please enter the values for x in increasing order. Round your answers to three decimal places, if necessary. Hint: If you are picking two different coins, remember that you can pick one first, then the other or the other way around, and you will still end up with the same two coins. X P(X = x) 2 0.015 If you were to randomly draw two coins from this jar, how many cents do you expect to have on average? (Averages of discrete things CAN be decimals!)
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A test was given to a group of students. The grades and gender are summarized below A B C Total Male 16 17 7 40 Female 12 19 3 34 Total 28 36 10 74 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got an 'A'.

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