The uniform distribution of a r.v.x on four integers{12,30,55,80) is f(x)=for x = 1,2,3,4.TrueO False

In the given problem we have given that an uniform distribution with four integer values.

Answered: The uniform distribution of a r.v.x on…

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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3. Alice and Bob buy a bag of apples, which contains 10 good and 4 bad apples. They split the apples in half evenly: Alice and Bob each take 6 apples, chosen at random. Let Agood be the number of good apples Alice gets, and define Abad, Bgood, and Bbad similarly. Describe the distribution of Agood as a hypergeometric distribution (give its parameters). Then, write Abad, Bgood, and Bbad as functions of Agood-
As a promotion, the first 50 customers who entered a certain store at a mall were asked to choose from one of two discounts. The first discount choice was 20% off all purchases made that day. The second discount choice was 10% off all purchases for the week. Of those who received the discounts, 28 chose the first discount and 22 chose the second discount. One customer will be selected at random from those who received a discount. Let F represent the event that the selected person chose the first discount, and let S represent the event that the selected person chose the second discount. Are F and S mutually exclusive events? (A) (B) D E Yes, because P (FS) = 0. Yes, because P (FS) = 0.12. Yes, because P (FS) = 1. No, because P (FNS) = 0. No, because P(FNS) = 1.
Each of six randomly selected cola drinkers is given a glass containing cola S and one containing cola F. The glasses are identical in appearance except for a code on the bottom to identify the cola. Suppose there is actually no tendency among cola drinkers to prefer one cola to the other. Let X denote the number among the six who prefer S. 1 Calculate P(X = 3). What is the probability that at least three prefer S? ● What is the probability that at most one prefer S? 2
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A diagnostic test for a certain disease is applied to n individuals known to not have the disease. Let X = the number among the n test results that are positive (indicating presence of the disease, so X is the number of false positives) and p = the probability that a disease-free individual's test result is positive (i.e., p is the true proportion of test results from disease-free individuals that are positive). Assume that only X is available rather than the actual sequence of test results. (a) Derive the maximum likelihood estimator of p. p = If n = 20 and x = 7, what is the estimate? p = (b) Is the estimator of part (a) unbiased? Yes O No (c) If n = 20 and x = 7, what is the mle of the probability (1 - p)5 that none of the next five tests done on disease-free individuals are positive? (Round your answer to four decimal places.) Need Help? Read It
ther between 25 and 54, inclusive, or at least 35. below. pability that a person chosen is at least 35, then subtract from the sum the probability that the pe that by the total number of people. he probability that a person chosen is at least 35. ide that by the total number of people. Frequency of Naturalized Persons by Age Bracket kɔuanbas (ak) oby Age (yr) Frequency 18-19 20-24 25-29 30-34 35-39 960'9 49,763 45-49 40,307 31,004 26,513 15,505 23,548 10,504 50-54 56,624 63,898 55-59 9-09 68,940 56,638 65-74 75 & over 40-44 Print Done

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The uniform distribution of a r.v.x on four integers {12,30,55,80) is f(x)=for x = 1,2,3,4. True O False