CHALLENGEACTIVITY12.6.1: Expectation of a random variable.464826.3214874.qx3zqy?Jump to level 1A fair coin is flipped twice.If both flips come up heads, you win $7.If at least one flip comes up tails, you lose $2.Let X be the random variable that corresponds to your winnings in dollars. Ex: X = 2 if you win $2 and X = -2 ifyou lose $2. What is the expected value of X?E[X]=Ex: 1.231CS Scanne with CamScanner3D-D-D-D-

Here given coin is flipped twice Head = H Tail = T Sample space : { HH , HT , TH , TT}

Answered: you lose $2. What is the expected value…

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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Please full explanation both a and b Thanks
The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 16-year period. Assume each year is independent. Part (a) Part (b) List the values that X may take on. X=0, 1, 2,..., 15, 16 OX= 1, 2, 3, OX= 1, 2, 3, OX=1,2,3,... 15, 16 98, 99, 100 Part (c) Give the distribution of X X-B 0.02 □ Part (d) How many audits are expected in a 16-year period? (Round your answer to two decimal places.) 0.32 audits Part (e) Find the probability that a person is not audited at all. (Round your answer to four decimal places.) Part (1) Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
Calls arrive at a switchboard a mean of one every 39 seconds. What is the exponential probability that it will take more than 29 seconds but less than 34 seconds for the next call to arrive?
In a certain city, projections for the next year indicate there is a 20% chance that electronics jobs will increase by 1300, a 50% chance that they will increase by 400, and a 30% chance they will decrease by 900. Find the expected change in the number of electronics jobs in that city in the next year. The expected change is an increase of __________ jobs.
x 1 2 4 6 p(x) 0.3 0.3 0.5 0.1 What is the probability P(X>2)? What is the expected value?
Directions: During a certain part of the day, the time between arrivals of automobiles at the tollgate on a turnpike is an exponential random variable with expected value 30 seconds. 1. Find the probability that the time between successive arrivals is more than 70 seconds. Probability = 2. Find the probability that the time between successive arrivals is greater than 10 seconds and less than 50 seconds. Probability =
73. Complete the PDF and answer the questions. x P(x) xP(x) 0 0.3 1 0.2 2 3 0.4 Table 4.31 Find the probability that x = 2. Find the expected value.
Using the table below, find the expected value. Please explain how you derived this answer. X P(X=x) 0 .1 1 .2 2 ? 4 .3 6 .3

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