Problem #9: Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street crossing is a randomvariable with the following pdf.Problem #9:f(x)3(1-x/64)² 0 ≤ x < 64{aotherwiseIf you use this crossing every day for the next 6 days, what is the probability that you will wait for at least 10seconds on exactly 2 of those days?Round your answer to 4 decimals.

The probability that you will wait for at least 10 seconds on exactly 2 of those days is obtained…

Answered: Problem #9: Suppose that the waiting…

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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3. Suppose Chelsea has the following utility function over sure wealth: v (y) = In y (a) Consider the lottery that yields the outcome $2 with probability and the outcome $8 with probability . What is Chelsea's certainty equivalent for this lottery? 2 3* (b) For the lottery in (b), how much would Chelsea pay to have her risk taken away? (c) What is Chelsea's probability premium at $25 for a lottery that could swing her wealth $20 up or down? What about $15 up or down?
Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces them into the economy. Suppose that each bill is used once per week (starting in week 1), and that each time a bill is used, it has a 1 in 5 chance of being detected as fake. If it is detected, it is removed. If not, it is used again. k n-1 (a) What does the expression E 1000 (" ) represent? Explain. n=1 Suggestion: If you are unsure, try writing out the expression for n = 1,2, 3 and consider what these might represent.
Rework problem 29 from section 4.1 of your text about the professor who sometimes forgets to bring her briefcase to the office, but assume that, each day, the probability that she forgets the briefcase is 1/8. Assume that her forgetting is a Bernoulli process. (1) What is the probability that she remembers to bring her briefcase every day in one week (5 days)? (2) What is the probability that she forgets to bring her briefcase every day in one week (5 days)? (3) What is the probability that she forgets to bring her briefcase at least one day in one week (5 days)?
(5) If Xis a r.v. with mean u and variance o?, using Chebyshev's-Inequality, AX-2 20) S (a) 0.5 (b) 0.05 (c)0.657 (d) 0.25.
Question 20. A town has a clinic where people go to donate blood. One third of the persons donating blood at each of these clinics have O+ blood. What is the probability that in a randomly chosen day, it takes six donors to find two O* donor in the 6th donor of the day? (a) 0.3292 (b) 0.0329 (c) 0.1097 (d) 0.1314
q-14
3. Suppose it is known from large amounts of historical data that X, the number of cars that arrive at a specific intersection during a 20-second time period, is characterized by the following discrete probability function: 6x f(x) = e-6, for x = 0,1,2, ... a) Find the probability that in a specific 20-second time period, more than 8 cars arrive at the intersection.

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