3) Smirky McHavadrink, drives drunk all the time. Suppose that it takes three DUI's forSmirky to lose his license. Suppose that on a given evening there is a 10% chance thatSmirky will get a DUI and each evening is independent of the others. Let X be thenumber of evenings until Smirky loses his license.a) How is X distributed?b) What is the expected number of days until Smirky loses his license.

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Answered: 3) Smirky McHavadrink, drives drunk all…

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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There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, and you must pick one to protect. Suppose that the attacker is going to attack site i with probability q;. You plan on selecting a site to protect, with probability pi of selecting site i. The choice of {qi} and {p;} represent the attacker's and defender's strategy, respectively.
A construction company employs two sales engineers. Engineer 1 does the work of estimating cost for 70% of jobs bid by the company. Engineer 2 does the work for 30% of jobs bid by the company. It is known that the error rate for engineer 1 is such that 0.02 is the probability of an error when he does the work, whereas the probability of an error in the work of engineer 2 is 0.04. Suppose a bid arrives and a serious error occurs in estimating cost. What is the probability that Engineer 1 did the work?
In the sport of basketball, a player will sometimes get the opportunity to shoot two free throws without being affected by any other players in the game. Assume that, for one player, these two free throws are independent of each other. If this player makes free throws 80% of the time, what is the probability that this player will make neither free throw in the opportunity?
If P(A)=0.7, P(B) = 0.75, P(C)= 0.8, P(AUB)=Q.8, P(AUC)=0.85, P(BUC)=0.9 and P(AUBUC)=0.95. find the probability of none of the three events occur اختر احدى الاجابات O 0.05 O 0.5 O None O 0.75 O 0.7
Suppose 50% of the registered voters in a country are Republican if a sample of 598 voters is selected what is the probability that the simple proportion of republicans will be greater than 47% round your answer to 4 decimal places
Imagine an animal that shows two variants; one long-legged and one short-legged. Each female produces 2 female offspring per generation and then dies. The offspring of the long-legged ones survive to adulthood (reproductive age) with a probability of 55% and the offspring of the short-legged ones survive to adulthood with a probability of 45%. If you begin with a population of 60 females of each type, what proportion of individuals will have long legs in 5 generations? (Note that you can ignore males and count only females and their offspring.) Show all work.
There are two bags containing several colored balls. The bag B, contains 10 red balls, 12 blue balls, and 13 green balls. The bag B, contains 20 red balls, 19 blue balls and 19 green balls. A student of your class wanted to draw 1 red ball and 3 blue balls. i. If he has the option to draw from only bag B1, what is the probability of drawing the four balls? [Give your answer upto 4 decimal places] ii. If he can choose any bag in an equiprobable manner, what is the probability of drawing the four balls in this case? [Give your answer upto decimal places] 4
A bag contains 2 red balls worth £3, 2 blue balls worth £2 and 5 green balls worth £0. You pick 1 ball out of the bag (without replacement). What the expected value of earnings from playing this game once (3 decimal places).
According to Johns Hopkins data, the mortality rate of Covid-19 for the USA and the UK respectively 1.7% and 2.7%.It is expected that next week there will be 1,200,000 (1.2 million) and 238,000 Covid-19 cases for the US and the UK, respectively.Deaths in the USA and the UK assuming independent, Covid-19 for US and UK next week Find the probability that the total number of deaths is at least 27,000.Hint: Use the normal approximation to the binomial distribution.
Chains "A" and "B" are made of the same steel. "A" consists of three links and "B" consists of six links, each link having a normal distribution function of the resisting strength with a mean of 60,000 psi and standard deviation of 5,000 psi. Determine which chain is generally weaker (from a probabilistic point of view) by plotting the probability distribution functions of their resisting strengths on the same diagram.
Suppose we have a bucket of 20 balls with 10 red and 10 green. We take 5 draws and after each draw, we remove the chosen ball from the bucket before our next draw (this is called drawing without replacement). Can we use the binomial distribution to model this scenario? Why or why not?
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