A Student at University of Toronto has applied for a scholarship. The student is wait-ing to receive a letter by mail to indicate whether he got accepted or rejected for thescholarship. The letter would arrive next week any day from Wednesday to Friday. Thestudent has estimated the conditional probabilities of getting the letter given acceptanceor rejection as seen in the below table:P(day|accepted) | P(day|rejected)DayWednesdayThursdayFriday0.450.30.350.30.200.4The student also assumes that the probability of getting accepted for the scholarship is0.65. Answer the following questions, based on the given information:(a) What is the probability that the student gets the letter on Thursday?(b) What is the probability that the student gets the letter on Thursday,given that it was not received on Wednesday?(c) What is the probability that the student gets the letter on Friday, giventhat it was not received on Wednesday and was not received on Thursday as well?(d) What is the probability that the student gets accepted if the letter isreceived on Friday?

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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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Similar questions

Four people buy raffle tickets and place all of their tickets into a hat. Raphael bought 8 tickets, Leonardo bought 3 tickets, Michelangelo bought 4 tickets, and Donatello bought 14 tickets. If a person randomly selects one raffle ticket from the hat, what is the probability that Raphael purchased the ticket? Write your answer as a decimal and round three decimal places.
Your company bids for two contracts. You believe the probability that you get contract #1 is 0.7. If you get contract #1, the probability you also get contract #2 will be 0.3, and if you do not get contract #1, the probability that you get contract #2 will be 0.2. Complete parts a through e below. Question content area bottom Part 1 a) Are the outcomes of the two contracts bids independent? Explain. b) Find the probability you get both contracts. c) Find the probability you get neither contracts. d) Let X be the number of contracts you get. Find the probability model for X. x 0 1 2 P(x) e) Find the expected value and standard deviation of X.
Question 11: Find the probability that at least one of them gets off on the 5th floor. O .271 O .3 O .336
Kylie has 12 pieces of candy left in her Halloween bag. There are 8 pieces of chocolate and 4 pieces of non-chocolate. She chooses a piece of candy at random and then chooses another piece of candy, without replacement. Draw a tree diagram to represent this situation and use it to calculate the probabilities that she picks:Two pieces of chocolate No chocolate At least one piece of non-chocolate One piece of each type
During a basketball game, Sebastián is shooting two free throws. He makes 95% of his free throws. Assuming that his free throws are independent events, find the percent chance that he... (Note: Do not round your answers.) is in the groove and makes both free throws. makes the first and then misses the second. misses the first and then makes the second. struggles and misses both of his free throws. What is the sum of these four answers? % % % do %
Help, please.
Luis is playing a paint ball game. To win, he must capture the flag and choose the correct escape route. The chance that he captures the flag is 62%. The chance that he chooses the correct escape route is 68%. The probability that he does both is 41%. Create a Venn Diagram and determine the probability that: He captures the flag and chooses the correct route He only captures the flag He only chooses the correct route He doesn’t complete either task
A bag contains 4 Milky Way bars and 5 Snickers bars. Jerod picks a bar at random from the bag and replaces it back in the bag. He mixes the bars in the bag and then picks another bar at random. Construct a probability tree and calculate the probability that Jerod picks two Snickers bars.
The table below shows the probability of winning 0-5 dollars playing a game. Amount Won ($) 0 1 2 3 4 5 Probability 4/24 7/24 7/24 3/24 2/24 1/24 The stallholder charges $2.50 for each playing of the game. How much money can the stallholder expect to make for the charity on a day when there are 400 plays of the game?
Rodney is going to shoot a total of 9 free-throws to prove he is a better shooter than Chris. During warm-ups Rodney can make 57% of practice shots. The challenge results are as follows… • 9 hits Rodney wins $100 • 6-8 hits Rodney wins $25 • 4-5 No one wins • 0-3 hits Chris wins $15 What is the probability that Rodney makes 7 shot?
A family has a day of eight activities planned:shopping, picnic, hiking, video games, movie, dog park, restaurant, and car wash. To make it more adventurous, they decide to randomly pick the order of the activities out of a hat. Find the probability that video games and restaurant are chosen consecutively, in either order.
Kevin is hiring two interns, and all applicants are either enrolled at Reading College (R) or Beekman College (B). He randomly picks two interns from the entire set of applicants. The tree diagram below shows the probabilities of the different outcomes. Based on the diagram, what is the probability of hiring two interns from Reading College? Provide the final answer as a fraction.

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