A shipment of 7 television sets contains 2 defective sets. A hotel makes a randompurchase of 3 of the sets. The probability distribution of X, where x is the number ofdefective sets purchased by the hotel, is shown below. Find the cumulative distributionfunction of the random variable X. Then, using F(x), find (a) P(X= 1); (b) P(0< x≤2).Xf(x)0271421

Probability mass function of X isx012f(x)274717.

Answered: A shipment of 7 television sets…

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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Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. tab H ps lock esc Part: 0 / 7 → fn 14 Part 1 of 7 Skip Part r. design. (a) Find P (2). P (2) = . ! Ⓡ 1 2 3 4 5 P(x) 0.63 0.13 0.11 0.02 0.11 1 Type here to search ? Q x A Send data to Excel — Check Z @@ 2 X W S # 3 E IL X 5 alt D $ JOI 4 C O R % F 5 T V 40 Pa G 6 "4 B & Y 99+ hp 7 a H 4+ 8 N Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | 144 9 tvo M 11 ULO 1 JK W LLL O 70- 441 L P : ; { alt ? Privacy Center DE = [1 Submit Assignment Accessibility 40 9:21 PM 2/21/2023 insert 1 1 . 4 1 prt sc C 屈 ola backspace pause ctri USE YOUR SMARTPHONE FOR Reviews Videos Featu Specs Support C 04 SC
D/Find E(X) and Var(x) of X, where X is the discrete random variable whose probability table is given in the table below. AA Doutcome A probability 1 3 7 0.1 0.6 0.3 AAAAAAAAAAAAAAAA
A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If X is the number of defective sets purchased by the hotel, (a) find the probability distribution of X, express it in a table format. Probability distribution of X X P(X) (b) Find the cdf of X. (c) Find the E(X) and Var(X)
Two fair dice are tossed repeatedly. The random variable X is the toss on which a total of 11 appears for the first time. Theoretically, X follows the geometric distribution. Find: E(X) Var(X) Find P(5 ≤ X ≤ 8 )
Assume that 12 jurors are randomly selected from a population in which 80% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0001 4 0.0005 5 0.0033 6 0.0155 7 0.0532 8 0.1329 9 0.2362 10 0.2835 11 0.2062 12 0.0687 Find the probability of exactly 7 Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x=7)=P(x=7)= Find the probability of 7 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x≤7)=P(x≤7)= Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? no yes
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I need help with this:A manufacturer knows that on average 20% of toasters produced require repairs within 1 year after they are sold. When 18 toasters are randomly selected, find the smallest number x and largest number y such that (a) the probability that at least x of them will require repairs is less than 0.58; (b) the probability that at least y of them will not require repairs is greater than 0.84.

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