1. If the joint probability is given by:x+yf(x, y) =30for r = 0, 1, 2, 3; y = 0, 1, 2,Find:(a) P(X < 2, Y = 1);(b) P(X > 2, Y<1);(c) P(X>Y );(d) P(X + Y = 4). 2. From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4pieces of fruit is selected. If X is the number of oranges and Y is the number of apples in thesample, find:(a) the joint probability distribution of X and Y;(b) P[(X, Y ) E A], where A is the region that is given by {(x, y) | x + y < 2}.

As per our Guidelines we are suppose to answer only one question1)

Answered: 1. If the joint probability is given…

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

If the odds against R occurring are 1:7, then find P(R) and P(R'). P(R)= (Simplify your answer.) P(R')= (Simplify your answer.)
IV) When a current X amperes flows through a resistance Y ohms, the power generated is given by w=x²y watts. Suppose the current and resistance are independent random variables with densities b = f(x)=6x (1-x), 0≤x≤1 X If the CDF of Wis Fw (w) = wª +6w - 8w 3/2, b ≤w ≤c, where a, b and care constants then a = C= fy(y)=2y, 0≤x≤1
2. The distribution of a random number X is Uni(0, 1). Find the probability that (a) the first decimal of √X is equal to 3. (b) the first decimal of X² is equal to 3.
25. The random variables X and Y have the joint probability function f(x, y) = K(4-x-y); 0
Given that random variable X is continuous type , we form the random variable Y as Y = g (x) = 6 F, (x) + 4. Then f, (y) is %3D ON(6, 4) ON (4, 6) O U (4, 10) OU (6, 10)
Background: A dog named Zip is often tied to a zipline. Fig 1A: Top view of yard. When tied, Zip travels in such a way that the hook on the line slides back and forth as he moves. A coordinate system is defined as described in the picture to the right. Figure 1A shows a top view and Figure 1B shows a Fig 1B: Sideview of zipline. sideview. A measurement system is connected to the hook. It periodically records the position on the line during the time Zip is connected to it. After 50,000 x=0 location of hook observations (electronically recorded) a continuous model for where the hook is located was developed by - 10m < x < 10m a team of engineers. They came up with the model that p(x) = {A + 10) otherwise 1) Sketch a graph for p(x). Do you need to fill in this form? You can use Fill & Sign to complete form yourself or get others to sign. 2) What is the average position of the hook on the zipline?
Given the situation where the failure of a structure is given according to the following condition: DeadLoad + LiveLoad is greater than the Resistance If the variables are acting independently from each other, and each one is normally distributed as follows: DeadLoad ~ N(100,25), LiveLoad ~ N(150,50) and Resistance ~ N(300,20). Compute the failure probability of the structure.
If X and Y are independent RVs, each following N (0, 3), what is the probability that the point (X, Y) lies between the lines 3X + 4Y = 5 and 3X + 4Y = 10?
Part C Help needed
If λ = 6 per hour and μ = 6 per hour in an (M/M/1): (5/FIFO) model, find the probability that there is no customer in the system.
Just solve (d,e,f,g)
1. If the joint probability is given by: r + y f(x, y) for r = 0,1,2, 3; y = 0, 1,2, 30 Find: (a) P(Xs 2, Y = 1); (b) P(X > 2, Ys1); (c) P(X>Y ); (d) P(X + Y = 4). 2. From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4 pieces of fruit is selected. If X is the number of oranges and Y is the number of apples in the sample, find: (a) the joint probability distribution of X and Y ; (b) P[(X, Y ) E A), where A is the region that is given by {(x, y) | x + ys 2}.

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

1. If the joint probability is given by: x+ y f(r, y) = 30 for r = 0, 1, 2, 3; y = 0, 1, 2, Find: (a) P(X < 2, Y = 1); (b) P(X > 2, Y < 1); (c) P(X>Y ); (d) P(X + Y = 4).