rom a sack of fruit containing 3 bananas, 3 apples, and 3 oranges, a random sample of 4 pieces of fruit is selected. Suppose X is the number of bananas and Y is the number of apples in the sample. (a) Find the joint probability distribution of X and Y. (b) Find P[(X,Y)∈A], where A is the region that is given by {(x,y) | x+y≤3}

rom a sack of fruit containing 3 bananas, 3 apples, and 3 oranges, a random sample of 4 pieces of fruit is selected. Suppose X is the number of bananas and Y is the number of apples in the sample. (a) Find the joint probability distribution of X and Y. (b) Find P[(X,Y)∈A], where A is the region that is given by {(x,y) | x+y≤3}

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

İf X follows the Poisson probability law such that P (xr 1) = P (x = 2). then ind the probability of 4 successes.
In tests of stopping distances for automobiles, those automobiles traveling at 30 miles per hour before the brakes are applied tend to travel distances that appear to be uniformly distributed between two points a and b. Suppose three automobiles are used in a test. Find the probability that exactly one of the three travels past the midpoint between a and b.
IfX is a random variable that has a uniform distribution on the interval [o, 10), then PX+ 10 27 is equal to
Q2) Suppose that X is a continuous random variable with probability distribution £x(x) = ₁ 0≤x≤4 Find the probability distribution of Y = (x - 2)².
A random variable Z is normally distributed with mean and variance are 0 and 1 respectively. Determine the probability of P(√2 ≤ Z < √5)
Consider the distribution of Binomial, Poisson, Exponential, Gamma, and let T1=X+4 and T2=(X-1) Check the property of biasdness
İf X follows the Poisson probability law such that P (xr 1) = P (x = 2). then ind the probability of 4 successes.
A random variable Z is normally distributed with mean and variance are 0 and 1 respectively. Determine the probability of P( √2
The profits of a mobile company are normally distributed with Mean of R.O (17x 10) and standarddeviation of R.O (17).a. Find the probability that a randomly selected mobile has a profit greater than R.O ((17x10) +10)
Given that f(x, y) = (2x+2y)/2k if x = 0,1 and y = 1,4, is a joint probability distribution function for the random variables X and Y. Find: The value of K
İf X follows the Poisson probability law such that P (xr 1) = P (x = 2). then ind the probability of 4 successes.
The cumulative distribution function for a random variable X is given by: (1-e for x20 F(x)=- otherwise Compute P (X >2). Select one: a. e4 O b. e-4 О с. -2 С. e O d. 2