Hint: Use Principle of Inclusion-Exclusion in probability A student types “n" letters to "n" persons and types the recipients' names and addresses in "n"envelopes. She inserts the letters at random into the envelopes. As n→ 0, what is the probability thatnone of the letters will get into a correct envelope

Answered: Image /qna-images/answer/ec151903-610c-4cf0-aca7-9f0065f849de.jpg

Answered: A student types “n" letters to "n"…

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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5% of customers at the snack counter of a movie theater buy soft drinks. Among those who buy soft drinks, 50% also purchase popcorn a) What is the probability that a customer at the counter buys a drink and popcorn? Theaters use this type of calculation to decide which products should be bundled to appeal to Based on the probability so calculated, what is your recommendation customers. Whether to bundle the products or not? b) If the proportion of customer who buys popcorn is 65% . Then find the probability that a customer will buy a popcorn or a soft drink?
34 F55) A) hiçbiri /none of them B) 0,397 C) 0,0347 D) 0,00347 E) 0,207
Company A has probability .01 of defaulting, company B has probability .005 of default- ing, if company A defaults the probability that company B defaults increases to .02. a) What is the probability that both company A and company B default? b) If company B defaults what is the probability that company A will default as well?
uestion 20 A box contains ten balls, numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. If you randomly select one ball, find the probability that the number is a) an odd number. b) at least 6. c) less than 10. d) not 3. e) less than 4 or a multiple of 3. ттт Arial 3 (12pt) II TO
EXERCISE 2 (DISCRETE MATHS: DISCRETE PROBABILITY) What is the probability that Danny, Sam and Rose win the first, second, and third prizes, respectively, in a drawing if 200 people enter a contest anda) no one can win more than one prize.b) winning more than one prize is not allowed.
Show complete solutionOne bag contains 6 white balls, 3 red and 4black balls, and a second bag contains 4white balls and 6 black balls. One ball is drawn from the first bag and placed unseen in the second bag. If the second ball drawn is black, what is the probability that a white was drawn from the first bag? 36/141 18/141 180/451 none of the choices
A law professor observed that only 20% of the students who get admitted to the freshmen class usually reached fourth year. Assuming that this is correct, find the probability that among 15 randomly selected first year students, exactly 3 students will reach fourth year?
OTHER DISCRETE PROBABILITY DISTRIBUTION SHOW COMPLETE SOLUTION AND GRAPH A group of tourists composing of 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans arrived in the Philippines. If a committee of 4 is selected at random, find the probability that (a) all nationalities are represented; (b) all nationalities except Italian are represented.
A soccer player makes a successful penalty kick 48% of the time. If she kicks 9 times, what is the probability that she gets exactly 3 kicks in the net? Assume that each kick is independent of the others. A) 0.0853 B) 0.111 C) 0.184 D) 0.00219
A fast food restaurant has customers arrive at the checkout counter at a rate of 25 customers per hour. The average service time at the till is 80 seconds. a) What is the utilization? b) What is probability that there are zero customers at the counter (either in line or being served)? c) What is the probability that there are two or more customers at the checkout counter? d) What is the probability that there are 1 or 2 customers at the counter? d) What is the average number of customers waiting in line? e) If the store wanted the average time in the system to be 5 minutes, what would the service rate have to be? f) What is the probability that checkout time will take between 1 and 2 minutes? g) What is the probability that checkout time will take more than 2 minutes?

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A student types “n" letters to "n" persons and types the recipients' names and addresses in "n" envelopes. She inserts the letters at random into the envelopes. As n→ 0, what is the probability that none of the letters will get into a correct envelope