Suppose that you arrive at a bus stop randomly, so all arrival times are equally likely. The bus arrives regularly every 10 minutes without delay. What is the expected value of your waiting time? Explain.The expected value of the waiting time isminutes. If all arrival times are equally likely, it makes sense that the expected wait time would be theof all possible wait times.

Given The bus arrives regularly every 10 minutes without delay.

Answered: Suppose that you arrive at a bus stop…

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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An engineering graduate applies for a job in two firms $X$ and Y$ The probability that he is selected in the firm X is 0.7 and being rejected at Y is 0.4. The probability of at leastone of his applications being rejected is 0.4. What is the probability that he will be selected in one of thefirms?
There are some 1-dollar bills, some 5-dollar bills, and a 20-dollar bill in an envelope. The number of 1-dollar bills is five times the number of the 5-dollar bills. We randomly pull a bill from the envelope. How many 1-dollar bills are in this envelope if the expected value of the bill pulled is $2.00?
Marta likes to play two different lottery games. The probability of winning the first game is 0.08, and the probability of winning the second game is 0.11. If she plays both games tomorrow, find the probability she wins at least one of the games. (Assume independence of the two events.) Give the answer as a decimal, and round to 4 decimal places if rounding is necessary
You manage a call center and your job is to make sure the employees aren’t slacking off when they are on the clock. You notice that one employee goes 20 minutes without picking up the phone, and you know the expected time between calls is 2 minutes. Derive an upper bound for the probability that the employee didn’t receive a call during the 20 minutes
A competition offers prize money for players reaching the final. If aplayer reaches the final, he/she will get 1000 dollars. If the player winsthe final and get the champion, another 1000 dollars are offered. Now aplayer has already reached the semi-final, what’s the expectation of prizemoney he would have after the competition?
An ice cream parlor serves 10 flavors of ice cream. Carrie and Jimmy each randomly and independently choose 3 out of those 10 flavors. Use the method of indicators to find the expected number of flavors chosen by both Carrie and Jimmy and simplify your final answer**** ****Each person has to choose 3 different flavors (Vanilla- Vanilla-Chocolate is not ok) but their flavors are allowed to overlap (Chocolate-Vanilla-Strawberry for Carrie and Chocolate- Blueberry-Mint for Jimmy is ok). The order of flavors doesn’t matter.
An engineer decides to buy four new snow tires for his car. He finds that Retailer A is offering a special cash rebate, which depends on how much snow falls during the first winter. If this snowfall is less than 50% of the mean annual snowfall for his city, his rebate will bet 50% of the list price. If the snowfall that winter is more than 50% but less than 75% of the mean annual snowfall, his rebate will be 25% of the list price. If the snowfall is more than 75% of the mean annual snowfall, he will receive no rebate. The engineer finds from a reference book that the annual snowfall for his city has a mean of 80 cm and standard deviation of 20 cm and approximates a normal distribution. The list price for the brand and size of tires he wants is $80.00 per tire. The engineer checks other retailers and finds that Retailer B sells the same brand and size of tires with the same warranty for the same list price but offers a discount of 5% of the list price regardless of snowfall that…
Two players are given an opportunity to play a game. They have identical, complete information about how the game works. Player A, seeing the game for the first time, decides not to play, because the expected value is slightly negative. Player B, who has already played one round, decides to play again, in hopes of winning back money lost in the first round. The difference between the two players' thinking can be explained by which concept?
The mosquitos are out in your back yard, and they bite you at random times. Each bite happens independently of the last bite. The average time between bites is 2.501 minutes. What is the probability that it takes longer than 1 minutes for them to first bite you?
Don't copy from chegg
A magazine subscription service is having a contest in which the prize is 180000. If the company receives 3 million entries, which is the expection of the contest?

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