PYou have a collection of 15 phone cords, 4 of which work to charge your current phone and 11 of which areeither broken or belong to okl phones. You pick 2 cords randomly from the collection. Let X – the numberof working cords among those 2. Write out the probability mass function (pmf) of X in Lable form.M

Given that: Sample size, n=15 Number of working cords = 4

Answered: You have a collection of 15 phone…

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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An urn contains 5 white balls and 7 red balls. A second urn contains 7 white balls and 6 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.61. If the ball is white, find the probability that the first urn was selected. (Enter answer as a decimal with at least 4 correct decimal places)
A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he loses the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.
The table summarizes results from 988 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Intoxicated? Yes No Pedestrian Intoxicated? Yes No 42 85 250 611 If one of the pedestrian deaths is randomly selected, find the probability that neither the pedestrian nor the driver was intoxicated. Please enter a decimal to 4 places. Probability = 0.9575 X
Ali went to play a lucky game . If 135 tickets of this lucky game were sold and the probability of Ali winning is ( 1/9 ) , then the number of tickets bought by Ali is equal to
At a certain bank the amount of time that a customer spends being served by a teller is exponential with mean of 3 minutes. Find the probability that a cusotmer needs at least 5 minutes of service from a teller.
Alex decides to go to a casino and play his 3 favorite slot machines. He knows from experience that his chances for coming out ahead and having won money after playing 20 times on a machine is 0.42, 0.55, and0.59 for the three slot machines. Find the probability that after playing each machine 20 times that he will have won money on at least one slot machine. Your answer should be to 4 decimal places.
Wyatt buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 8 sugar cookies and 6 oatmeal cookies. What is the probability that Wyatt reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.
A committee consisting of 4 members will be formed from 6 males and 3 females. If X is the number of females in the committee, find the probability distribution of X.
A data form asks for applicants' birth dates in the form mm/dd/yyyy. Find the probability that the number made up of the first two digits on a form is greater than 00.
At a bank, there is a line of 3 people and only one cashier that serves one person at a time. The time that the cashier takes to serve each person has an exponential distribution with a mean of 5 minutes. Calculate the probability that the total time of serving the 3 people is less than 15 minutes. Assume that the serving times are independent.
An urn contains 8 white balls and 2 red balls. A second urn contains 3 white balls and 8 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.65. If the ball is white, find the probability that the second urn was selected. (Enter answer as a decimal with at least 4 correct decimal places)
Kelly realized that 4% of his students' exams have academic integrity issues. He plans to go through the exams at random to find one with academic integrity issues. Let X be the number of exams Kelly selects until he finds one with academic integrity issues. a) Find the probability that the 18 th exam Kelly selects will be the first with academic integrity issues. State your answer as a percentage rounded your answer to 2 decimal places. b) What is the probability of finding an exam with academic integrity issues within the first 5 exams? Round your answer to 3 decimal places.

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