Discrete Probability Distribution: If a die is tossed once, then the probabilitydistribution of X where X is the number on the upturned face is given asX123456P(X=X) 1/61/61/61/61/61/6Find:E(X)= 3.50E(3X-2)=E(X+4)E(X²)V(X) =V(X+6)V(8X)V(4X-9)

We have given the following data about the discrete probability distribution. Note: According to…

Answered: Discrete Probability Distribution: If 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

statistic discrete rondom variable
Q1 Let probability distribution function of Xbe defined by х %3D 0,1, 2, 3. a P(x) = otherwise. Find the value of a. (а) (b) (c) (d) Find P(-1
The mean and the variance of a binomial distribution with parametersn and p are E(X) -6 and V(X) = 3. Then P(X< 5) = %3D None of these 0.073 0.3872 O 0.1938
Exercise(3): If the mean and variance of a binomial distribution are 9 and 6 respectively, then find: (1) The probability mass function P(x = k) (2) P(x=3) (3) P(x>1)
The discrete random variable Y has probability distribution given by: Y 0. 1 3. P(Y=y) b. 0.1 0.15 a where a, b and c are constants. P(Y = 1) = P(Y 23) %3D P(Y = 0) = P(Y = 2) – 0.1 %3D %3D Find the values of a, b and c.
X P(x) =C p*q"-x %3D When processing credit-card applications there is a 40% chance that an application will have incomplete or insufficient information and require research. You have 5 applications in your to-do pile and would like to leave early today. (a) Fill in the values: n = q = (b) What is the probability of exactly three applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= (c) What is the expected number of applications that will need research? Answer= (d) What is the probability of having AT LEAST the expected number of applications needing research? (enter a number between 0 and 1, 4 decimal places) Answer= Please answer all parts of the question.
In an uncertain economy, Americans tend to keep spending down. Let x be the amount of money U.S. individuals spend on groceries monthly. Suppose the probability distribution of x is a uniform distribution from $300 to $400 which is represented by the picture below. f(x) 0.010 0.008 0.006 0.004 0.002 300 320 340 360 380 400 X i (a) What is the probability that a randomly selected individual spends between $315 and $370 on groceries each month? (b) Determine whether the following statement is true or false. The variable, the amount an individual plans to spend on groceries per month, is a numerical (quantitative) variable. True O False
Losses come from a mixture of an exponential distribution with mean 100 with probability p and an exponential distribution with mean 10,000 with probability 1– p. Losses of 100 and 2000 are observed. Determine the likelihood function of p. -0.01 pe (1– p)e“ pe 20 (1– p)e0² -0.2 (A) 100 10,000 100 10,000 pe (1– p)e“ -0.01 (B) pe (1– p)e02' 100 10,000 100 10,000 pe, (1- p)e0. 20 (1– p)eº -0.01 pe 100 -0.2 (C) pe 10,000 100 10,000 pe, (1- p)e 00i -0.01 (D) -20 ре (1– p)e02 100 10,000 100 10,000 e 0.01 +(1– p) e -20 (E) р. 100 10,000 100 10,000
Discrete RV and its distribution
Using change of variables: Let y = f(x), where x and y take values in IRn. The probability distribution of P(x) is known. Find the distribution of y. Propose conditions on f for your result to hold. Start with n = 1.
a and b

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

Discrete Probability Distribution: If a die is tossed once, then the probability distribution of X where X is the number on the upturned face is given as X 1 2 3 4 5 6 P(X=X) 1/6 1/6 1/6 1/6 1/6 1/6 Find: E(X)= 3.50 E(3X-2)= E(X+4) E(X²) V(X) = V(X+6) V(8X) V(4X-9)