(3) Five balls are randomly selected without replacement from an urn with 11black and 10 white balls. Let X be the number of black balls selected.Compute Var (X).

Introduction: The random variable X is the number of black balls selected in the sample, when 5…

Answered: (3) Five balls are randomly selected…

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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Answer the following questions for the poset ({{1}, {2}, {4}, {1, 2}, {1, 4), (2, 4), (3, 4), (1, 3, 4), (2, 3, 4} }, =). Find the greatest lower bound of {(1, 3, 4), (2, 3, 4) ), if it exists. Multiple Choice The greatest lower bound of {{1, 3, 4), (2, 3, 4]} does not exist. {3,4} {4} {1,4}
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Hydroxychloroquine is a drug sometimes used to treat malaria or rheumatoid arthritis. This drug has recently received some notoriety as a possible treatment for those suffering from Covid-19. A hydroxychloroquine tablet comes in a 200 mg strength, but hydroxychloroquine dosage may be anywhere from 200 to 1200 mg. Thus, a patient must take multiple pills. Suppose X is the number of pills taken by a randomly selected hydroxychloroquine patient. Then according to JJSDA, x has the following probability mass function, p(x), and cumulative distribution function F(x). 1 2 4 p(x) .04 .27 .35 .10 07 F(x) .04 .31 a .83 .93 1 a. If F is the cumulative distribution function of x, then what is the value of a? b. If p is the probability mass function for x, then evaluate b. c. What is the expected value of x? d. Calculate the variance of x. e. What is the variance of 0.7*x? f. The CDC 'randomly' checks the dosage of 10 hydroxychloroquine patients. What is the probability that exactly 4 of the…
2)I have a bag containing 40 blue marbles and 60 red marbles. I choose 10 marbles (without replacement) at random. Let X be the number of blue marbles and y be the number of red marbles. Find the joint PMF of X and Y.
An electronics store has received a shipment of 30 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other eighteen have a single slot. Suppose that six of the 30 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? binomial with n = 12, x = 6, and p = 6/12 binomial with n = 30, x = 12, and p = 6/30 hypergeometric with N = 30, M = 12, and n = 6 O hypergeometric with N = 12, M6, and n = 12 (b) Compute P(X = 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X = 2) = P(X ≤2) - P(X ≥ 2) × (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation…
Teachers want to know which night each week their students are doing most of their homework. Most teachers think that students do homework equally throughout the week. Suppose a random sample of students were collected which shows that the Number of students doing their homework on SUN where 16 Number of students doing their homework on MON where 18 Number of students doing their homework on TUE where 12 Number of students doing their homework on WED where 18 Number of students doing their homework on THR where 8 Number of students doing their homework on FRI where 4 Number of students doing their homework on SAT where 3 What is the Test Statistics to test the Hull Hypothesis that students were doing their homework with equal frequencies (that is, they fit a uniform distribution) against the alternative Hypothesis that students prefer doing their homework on a particular day (that is, they do not fit a uniform distribution)?
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(3) Five balls are randomly selected without replacement from an urn with 11 black and 10 white balls. Let X be the number of black balls selected. Compute Var (X).