Question 5 The waiting time X for a processor to start processing a job has thecumulative distribution function (CDF)(1-)x >0Fx (x) =else,where 7>0 is a constant. The cost of waiting is Y = aX³ where a > 0 is another constant.a) Let t >0 and s > 0. What is P[X > s + t| X > s]? Does X have the memorylessproperty?b) Does Y have the memoryless property?c) What is the probability density function (pdf) of X?

The memoryless property is the property of the probability distribution of a random variable that…

Answered: Question 5 The waiting time X for a…

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...

See similar textbooks

Similar questions

please solution about C D and E
3 Let X be the number of siblings of WSU students. The pdf of X is: f(x) = (5-x)/15 for x = 0, 1, 2, 3, 4 What is the probability that a randomly selected student has 3 or more siblings if it is known that they are not an only child X 0.133 X 0.2 / 0.3 O X 0.667 X 0.933
The cumulative distribution function of random variable Y is given by y < 0 Fy(y) : 0 < y < b b < y where b = 0.125. Random variable W is a transformation of Y such that W = 15Y. What is the probability that W is less than 5, that is, P(W < 5)?
5. Interpreting dummy variables for multiple categories when the dependent variable is log(y) Consider the following estimated model, where the dependent variable is the log of the hourly wage: log (wage) 0.417 + 0.297 female + 0.053 married + 0.08 educ + 0.029 exper - 0.001 exper² + 0.032 tenure - 0.001 tenure² The coefficient of married implies that the so-called marriage premium is estimated to be about Suppose a regression model has different intercepts for seven groups or categories. Then to ensure the quality of the regression model, we need to include dummy variables in the model, an intercept.
cumulative distribution function for heights (in meters) of trees in a forest is F(x). (a) Explain in terms of trees the meaning of the statement F (7) = 0.5. F (7) = 0.5 tells us that i (b) Which is greater, F (7) or F (6)? Justify your answer in terms of trees. because every tree of height eTextbook and Media % of the trees in the forest have Same for stor meters also has height mete
f(X)= 3/8( 4x - 2x2 ) 0<* x <* 2 (* less or equal to) a. Find the variance of X.
6 Trout population Suppose 200 trout are caught, tagged, and released in a lake's general population. Let T denote the number of tagged fish that are recaptured when a sample of n trout are caught at a later date. The validity of the mark- recapture method for estimating the lake's total trout popula- tion is based on the assumption that Tis directly proportional to n. If 10 tagged trout are recovered from a sample of 300, estimate the total trout population of the lake.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS