Suppose we toss 5 (numbered) balls into 5 (numbered) bins randomly. Let X be the number of balls in a particular bin, say bin i. (a) Determine the probability X is 0, 1, 2, 3, 4, 5 balls. (b) Calculate E(X).

Suppose we toss 5 (numbered) balls into 5 (numbered) bins randomly. Let X be the number of balls in a particular bin, say bin i. (a) Determine the probability X is 0, 1, 2, 3, 4, 5 balls. (b) Calculate E(X).

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

Related questions

Q: Let X - Unif(0, 2) and Y - Unif(0, 1). Find the probability P(X > Y) that X is greater than Y

A: # Here given that X~U nia,b fx =1b-a ' a≤x≤b 0 ' other

Q: Let X₁~N(-1,5), X₂~N(3,2), X3~N(0,1). They are independent rv's. Find the probability distribution…

Q: if X follows the Poisson probability law such that P (xr = 1) = P (x = 2). then ind the probability…

Q: A random variable X can take on only three values: 1, 3 and 0. X takes value 1 with probability and…

A: Given that Probability mass function of X is x 0 1 3 P(x) 1/12 1/4 2/3

Q: Determine the value of k so that the function f(x)= k(x² + 4) may be used for x = 0,1,2,3, there is…

A: From the provided information, f(x) = k (x2 + 4) for x = 0, 1, 2, 3 there is a valid probability…

Q: Let the joint probability function for Y, and Y2 be Y1 Y2 0 0 3/202/200/20 3 6/20 0 9/20 3 E[ ECY I…

Q: 3. Out of 50 students, 28 are taking AP Calculus, 19 are taking AP US History, and 10 are taking…

A: I am attaching image so that you understand each and every step.

Q: if X follows the Poisson probability law such that P (x 1) = P (x = 2). then ind the probability of…

Q: (a) If Z~N(0, 1), find the value of k if P(Z > k) = 0.3015. If X~N(50, 102), find the probability…

A: a) z~N(0,1)

Q: COM C 2 1 ("skorjo, jossa avoy os submitus pencury (4) (XX 9 C C F inox puncs ['sophe the sonop and…

A: Let X = the number of people who arrive late for the seminar. Total no. of individuals (n) = 8…

Q: Let X be the number of times '4' is rolled out of a total of 8 rolls. What is the probability that…

Q: Let the r.v. X assume the value 'r' with the probability law : P(X = r) = q-¹ p ; r = 1, 2, 3. Find…

A: The probability mass function of X is given as-

Q: A computer disk storage device has ten concentric tracks,numbered 1, 2,…, 10 from outermost to…

A: The conditional probability that the arm is on track i is, p(X=j)=∑i=110p(X=j|arm on i).p(arm on…

Q: 36. Let p be the probability that a man aged x years dies in a year. Find the probability that out…

Q: If the weights of children are distributed according to the N ( 40 , 125 ) , then the probability…

A: We have given that, Let X are normally distributed with mean (Mu) = 40 and standard deviation…

Q: Suppose a groundhog jumps out of its hole (within a 1-minute interval) with probability 0.2 and goes…

A: Probability: Probability is used to measure the outcomes of random events…

Q: Consider three types of claims: A, B and C. Let XẠ denote the rand variable for the size of a…

A: a) From the given information, An insurance company has a portfolio of policies with 10% of claims…

Q: Suppose a and b be two possible values of a random variable X with a > b The probability that lies…

A: Given that a and b be two possible values of a random variable X with a > b The probability that…

Q: Find the variance of probability function 1 2 4 P(X) 0,25 0,15 0,10 0,25 0,25 21 - O A) 6,80 O B)…

A: Here, X P(X) X.P(X) X2 X2.P(X) 0 0.25 0 0 0 1 0.15 0.15 1 0.15 2 0.1 0.2 4 0.4 3 0.25…

Q: Let X be the number of students who show up for a professor's office hour on a particular day.…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: What is the probability of the event {X = 1}? 2. Write the event {X = 2} in terms of the events {D1…

A: As per policy I have calculated 3 subparts kindly REPOST for remaining parts. You roll a fair…

Q: Find the probability !is pad.f. (2x+1) 15 x=1,2,3 p(x) = elsewhere

A: given p.d.f p(x)=115(2x+1) x = 1,2,3

Q: Assume that when adults with smartphones are randomly selected, 47% use them in meetings or classes.…

A: Solution: 2. Let X be the number of adults use their smartphones in meetings or classes and n be the…

Q: Suppose we toss m (numbered) balls into n (numbered) bins randomly. Let X be the number of bins with…

Q: Q. 1 Deal two cards from a well-shuffled deck of cards. Let the random variable X be the number of…

A: A well shuffled deck of cards has 52 cards in total, 4 aces and 12 face cards. Let X denote the…

Q: 3) A fair coin is tossed 1200 times. Use CLT to compute the probability that head appears at most…

A: The provided information is n=1200 p=1/2 A fair coin is tossed then Then mean is…

Q: Assume that when adults with smartphones are randomly selected,56% use them in meetings or classes.…

A: Given,n=5p=0.56Let X=no.of adults use their smartphones in meeting or classesX~Binomial(n=5 ,…

Q: Three students X, Y and Z, each shoot at a target. The probability of hitting the 1 5 target by X, Y…

Q: F(x) is cdf of X. Cumulative probability X is 2,4,7 and 9 is 0.1,0.4,0.8 and 1. calculate the…

A: We can right this cdf in tubular form as X 2 4 7 9 F(X) 0.1 0.4 0.8 1 Hence we have…

Q: Let X and Y be independent, taking on {1,2,3,4,5} with equal probabilities. E((X+Y)2)=?

A: We have given that X and Y be independent random variables. The distribution of X is: P( X=x ) =…

Q: Let X and Y be two events having a joint probability function given as 3 (x² + y²), 0 0.75). What

A: Given joint probability function is: fx,y=32x2+y20≤x,y≤10elsewhere A). PX≤12, Y≤12 PX≤12,…

Q: Contracts for two construction jobs are randomly assigned to one of or more of three firms, A, B,…

Q: For a given electronic component, it has been shown that it is necessary to restart once every 250…

A: INTRODUCTION: Definition: Conditional Probability suppose A and B are any two events. the…

Q: Paul applies to sell souvenirs at a sporting event. He may be assigned to any of sections A through…

Q: he probability that a patient recovers from a disease is 0.8. Suppose 5 people are known to have…

A: Given data, p=0.8 n=5

Q: 2. Say we have 3 independent events: A, B, and C. Let P(A) = 0.25, P(B) = 0.3, and P(C) = 0.5. a.…

A: The probability is the chance of occurrence of observation involve in the sample or event with equal…

Q: L) Compute the probability that the fourth 1 appears on the 10th roll

Q: Let SN = X1 + X2+..+XN. IfN takes the values 0, 1, 2, 3 with probabilities 0.5, 0.3, 0.1, 0.1…

Q: Let X and Y be independent discrete random variables and suppose that X+Y=2. Show that X and Y are…

A: The objective of the question is to prove that if X and Y are independent discrete random variables…

Q: Suppose X and Y have the joint probability distribution given by the table shown below. Compute…

Q: 2. Let X be a random variable with p.m.f., (1+x? 20X = -1,0,1,2,3 0 ,otherwise. f(x) = Find E(3X² +…

A: Given function isf(x)={1+x220, x=-1,0,1,2,30 , otherwise

Question

Suppose we toss 5 (numbered) balls into 5 (numbered) bins randomly. Let X be the number of balls in a particular bin, say bin i.
(a) Determine the probability X is 0, 1, 2, 3, 4, 5 balls.
(b) Calculate E(X).

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

12. The table shows the number of students who took the March Bar Test for the first time and thc numbcr of students who repact the exam. Passed Failed Total 6458 2058 First time 4427 2252 1845 407 Repeat Total 8737 4834 3903 a. )Find the probability that a student failed, given that the student took the exam for the first time. b.) Find the probability that a studnt repeated the exam, given the student passed.
1) IfX~B(10,0.7), find the probability for P(X=5)
attached
Solve the below problem. Table 1 contains the probabilities associated with each possible pair of values for Y, and Y, and is known as the joint probability function for Y,and Y2 Table: Probability function for Y, and Y, Yı_ y2 0 1 2 0 1/9 2/9 1/9 2/9 2/9 0 1 | 2 1/9 0 Find F (1, –2) and F(3,3).
A screening test for a particular infectious disease shows a positive test result in 90% of all cases when the disease is actually present, and in 10% of all cases when it is not. Assume that t% of the population is infected, where t is = 1. For a randomly chosen from the population person, find the probability that the person is actually infected if the test shows positive.
an unfair coin with Pr[H]=0.85 is flipped. If the flip results in a head, one student is selected at random from a class of 4 girls and 6 boys. If the flip results in a tail, one student is selected from a different class containing 7 girls and 3 boys. Find the probability that the flip resulted in heads given that a boy was selected.
Let X be a random variable with the following probability f(x) = c(1 – 2x2 + x3), x = 0, 1, 2, 3, 4, 5. Find the value of c to make it a probability Establish the probability distribution of X (table). Find the mean of the random variable
If Z is approximately N(0,1), the probability, after "Z lies in" between -1.50 and 2.37, is:
12y 3p A) For the joint probability p(A.B)-5p 13p P(B/A), if y is three times larger than p. 4y. Find P(A). P(B). P(A/B), and 7pl
İf X follows the Poisson probability law such that P (xr 1) = P (x = 2). then ind the probability of 4 successes.
A committe of size 3 to be selected at random from 4 chemists and 5 physicists , Find the probability that : E (x)=? а- 16/9 b- 15/9 с-3/4 d- 8/7 e- 4/3
a.2 b.-1 c.0 d.-2 e.1