.A contractor builds three-unit apartment with construction time follows a normal distribution.Suppose that µ=100 days and o=20 days and the contract called for completion in 125 days andlate completion will incur a severe penalty fee. What is the probability of not incurring a penaltyfee? *0.89430.85250.9125O 0.9343

Answered: Image /qna-images/answer/e6f02b5c-b0db-4d86-91fb-4aa191252a04.jpg

Answered: .A contractor builds three-unit…

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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5.1.7 Five males with an X-linked genetio disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. PO O 0.033 0.157 2 0310 3. 0.310 4. 0.157 0.033 Does the table show a probabilty distribution? Select all that apply A. Yes, the table shows a probability distribution. B. No, not every probab tyis between 0 and 1.inclusive. No, the random variable Xs numbervalues are not 355ociated with probablities No. the random varable xis categorcalinstead of numerical. No the sum of all the probablities is not equaltto 1. Cick to select your answerS) and tren cexCheckAnSwer
, 16. A statistically minded fraternity junior keeps records on how many girls he has to ask before one agrees to be his date for a Saturday football game. His school plays five home games and his five acceptances come on the 3rd, 6th, 4th, 2nd, and 9th girl he asks. Assume that the probability, e, that any girl he asks will accept his invitation is constant from girl to girl. Mind ML estimate of e.
b. The lifetime X of a particular species is assumed to be exponentially distributed with mean 75 time units. Find the probability that a member of this particular species picked at random survives: i. more than 90 time units; less than 70 time units; between 70 and 85 time units. ii. iii. iv. Calculate Var(X).
5. A pressure transducer regulates a climate control system in a factory. The transducer fails according to an exponential distribution with rate one failure every five years on average. a. What is the cumulative distribution function of the time until failure? b. What is the probability that a transducer chosen at random functions for eight years without failure? irteen Reliability and Maintainability c. What is the probability that a transducer that has functioned for eight years con- tinues to function for another eight years?
. You are given the following. 470 = 0.04 471 = 0.05 • deaths are uniformly distributed within cach year of age. Calculate the probability that (70) will die between ages 70.5 and 71.5. a. Less than 0.0432 b. At least 0.0432, but less than 0.0437 C. At least 0.0437, but less than 0.0442 d. At least 0.0442, but less than 0.0447 e 0.0447 or more
Match the following questions with the correct answers. A. 24 B. 0.0929 C. 2 D. 154 E. 3/4 F. 120 select select select select select select 1. If X220, the probability that a man aged x marries at time t from the present is 15dt/(t+x)2. Find the probability that a person aged 20 eventually marries. 2. If X is the number of 6's which appear when 72 dice are thrown, what is the expected value of X²? 3. Suppose only 12% of men in ancient Greece were honest. What is the probability that the first honest man Diogenes Jencounters will be the third man he meets? 4. Find the expected value of the number of times one must throw a die until the outcome 1 has occurred 4 times? 5. Find the variance value of the number of times one must throw a die until the outcome 1 has occurred 4 times? 6. If for a Poisson distribution 2f(0)+f(2)=2f(1), what is the variance of the distribution?
Answer D
3. Football goal scoring events arrive as a Poisson process in a a 90-minute match at a mean rate of 2.7 goals per match. Find the probability that an interval time is less than 30 minutes: (A) 0.0672 (B) 0.4066 (C) 0.5934 (D) 0.9328
6. Let X1, X2, ...X100 denote a random sample of size 100 from an exponential distribution with mean 1. Let Y equal the sum of all the X's. Approximate the probability that Y is greater than 110. |
1. Arianne found a damaged die that is twice as likely to give a prime number than a nonprime number. Let X be the outcome when this damaged die is tossed once. a. Give the probability mass function of X in tabular and piece-wise function form b. Compute the mean and variance of X
Q.2. What is the use of differencing in a time series? Also, explain the importance of stationarity.
Iim. 12

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