Given that X is a random variable having a Poisson(2)distribution, compute the following:(a) P(X = 3) when 2 = 6P(X = 3) =(b) P(X < 1) when 1 = 6P(X < 1) =(c) P(X > 4) when 1 = 4%3DР(X > 4) —(d) P(X < 3) when 2 = 0.5Р(X < 3) %3

Answered: Image /qna-images/answer/1d1e2fcb-0b7f-481a-a0b5-82357b866fdd.jpg

Answered: Given that X is a random variable…

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

Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6) = .1. Find Var(X).
X is a discrete random variable such that the possible values are {a, a+1, a+2, ... b-1, b}. The random variable has a mean of 7 and a variance of 4. What is the Pr(X<=6|X>4)?
Suppose a random variable x is best described by a uniform probability distribution with range 2 to 5. Find the value of a that makes the following probability statements true. (a) P(x ≤ a) = 0.85 a = (b) P(x a) = 0.6 a = (e) P(1.62 ≤ x ≤ a) = 0.5 a =
Given that X is a random variable having a Poisson(2) distribution, compute the following: (a) P(X = 4) when 1 = 3.5 P(X = 4) = (b) P(X 2) when 2 = 2 P(X > 2) = (d) P(X < 9) when 2 = 4.5 P(X < 9) =
Suppose X is a random variable of a normal distribution with E(X)=2 and Var(X)=4. Find P(X<4)
Given that is a random variable having a Poisson distribution, compute the following: (a) P(x = 8) when μ = 4 P(x) = (b) P(x 4) when μ = 3 P(x) = (d) P(x <8) when μ = 5.5 P(x) =
Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)
For a random variable, its hazard function also referred to as the instantaneous failure rate is defined as the instantaneous risk (conditional probabilty) that an event of interest will happen in a narrow span of time duration. For a discrete random variable X, its hazard function is defined by the formula hX(k) =P(X=k+ 1|X > k) =pX(k)1−FX(k). For a Poisson distribution with λ= 4.2, find hX(k) and use R to plot the hazard function.
Consider the random sample X1, ... , X4 from a Uniform distribution (0,1). Calculate the expectation of the random variable: Y1 = min( X1, ... , X4)
Given that X is a random variable having a Poisson(A) distribution, compute the following: (a) P(X = 1) when A = 5.5 Р(X — 1) — (b) P(X 7) when A = 4 Р(X > 7) %3D (d) P(X < 5) when A = 5.5 P(X < 5) =
Let the random variable X be normally distributed with mean 6 and variance 4. (A) Find the probabilityP(6.3x )=0.36.

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

Given that X is a random variable having a Poisson(2) distribution, compute the following: (a) P(X = 3) when 2 = 6 P(X = 3) = (b) P(X < 1) when 2 = 6 P(X < 1) = (c) P(X > 4) when 2 = 4 %3D Р(X > 4) — (d) P(X < 3) when 2 = 0.5 P(X < 3) =