The joint probability distribution of two random variables X, Y is given in the table below.Y=-3 Y=3 Y=4X=-40.110.29 0.02X=-10.010.00 0.25X=30.13 0.00 0.19From the information in the table, calculate each of the following three probabilities.(a) P(X < -1, Y = 3) = [|(b) Р (х > 3) %3D ‑(c) P(x= -4) =0

P(X≤-1, Y=3)=? P(X>3)=? P(X=-4)=?

Answered: The joint probability distribution of…

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

Od. 0.4901 QUESTION 13 For a random variable with the given probability distribution. 3. 4 f(x) 0.41 0.05 0.01 0.37 0.16 P(0 SxS 2)- P(x2 3) = O a. 0.93 O b. 0.52 O c. 0.94 O d. 0.88 Click Save and Submit to save and submit. Click Save All Answers to save all answers.
Suppose a random variable xx is best described by a uniform probability distribution with a range 0 to 5. Find the value of a that makes the following probability statements true.
For a binomial random variable X∼B(n=89,p=0.8)X∼B(n=89,p=0.8), find the probability P(X=67)P(X=67): P(X=67)=P(X=67)= (Round the answer to 4 decimal places)
TABLE 13.6 Let X and Y be two random variables each X -1 tuking three values -1, 0 and 1, and having the joint probability distribution as given in Table 13-6. Y Obiain the marginal probability distributions of X and Y and hence their expected values. •2 •2 -2 1-
Suppose that in a certain metropolitan area, 90% of all households have cable TV. Let x denote the number among four randomly selected households that have cable TV. Then x is a binomial random variable with n = 4 and p = 0.90. (Round your answers to four decimal places.) (a) Calculate p(3) = P(x = 3). (b) Calculate p(4),the probability that all four selected households have cable TV. (c) Calculate P(x ≤ 3).
find the expected value of the probability experiment with outcomes X1, X2,... x1=2, x2=6, x3=4, x4=8, P(x1)=1/5, P(x2)=2/5, P(x3)= 1/5, P(x4)=1/5 the expected value of the probability experiment is E=
The combined probability of the random variable X and Y is given below: a. Find the value of the constant. b. Calculating and interpreting the covariance and correlation of X and Y random variables. c. Calculating the expected value and variance of the random variable ? = 2? - 3? + 2
Let X be a binomial random variable with parameters of 9 and 0.1. Let Y be a binomial random variable with parameters of 6 and 0.3. Assume X and Y are independent. Then the probability that X + Y = 2 equals Preview
Let X be a binomial random variable with p = 0.1 and n = 10. Calculate the P(X > 8). (Binomial).
3) A random variable X takes the values 0, 2 and 3 with probabilities 0.3, 0.1 and 0.6, respectively. A random variable in the form of Y = 3(X-1)2 is defined. a) Find the expected value and variance of the random variable X. b) Find the variance of the Y random variable. c) Find the cumulative distribution function of the Y random variable.
For a large population of people, the probability distribution for the random variable X = the number of meals a person ate yesterday and the assigned probabilities is given below: Meals, X Probability (a) Find P(X= 5), the probability that a randomly selected person ate 5 meals yesterday. P(X= 5) = 1 3 4 5 0.17 0.35 0.24 0.17 ? (b) Find P(X ≤ 2), the probability that a randomly selected person ate 2 or fewer meals yesterday. P(X ≤ 2) = (c) Find the probability that a randomly selected person ate 1 meal or ate 5 meals yesterday. P = (d) Find P(X > 1), the probability that a randomly selected person ate more than 1 meal yesterday. P(X > 1) =
the height of a randomly selected male individual in a population is a normal random variable with mathematical expectation m=178 σ =8 what % of the individuals of this population is taller than 185cm?the height of the female individuals in this population is of normal distribution with parameters m=165 cm and σ=7cm. what % of the women are taller than half of the men

SEE MORE QUESTIONS

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