9. There are four ball of the same size in a box. The balls are numbered 1, 2, 3,and 4. Connie randomly picks up one ball, puts it back, and then randomlypicks up one ball from the box. Let X denote the sum of the numbers on thetwo balls she picked up.a. Find the probability distribution and events corresponding to the valuesof X.b. Obtain the cumulative distribution function of X.c. Find P(3 s X <7)

Given : There are four balls numbered 1,2,3 and 4 of the same size in a box. Connie randomly picks…

Answered: 9. There are four ball of the same size…

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...

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A die is weighted in such a way that each of 2, 4, and 6 is three times as likely to come up as each of 1, 3, and 5. Find the probability distribution. Outcome 1 2 3 4 5 6 Probability What is the probability of rolling less than 5?
The table shows the distribution, by age and gender, of the 28.5 million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 18-24 age range living alone. Male Female Total Attempted Ages Ages Ages Ages Ages Ages 18-24 25-34 35-44 45-64 65-74 275 Total 0.9 2.3 2.4 0.7 1.5 1.2 1.6 3.8 3.6 4.6 1.4 1.5 4.8 6.3 5.0 2.2 9.6 3.6 BECER 13.1 15.4 28.5 The probability is (Type an integer or decimal rounded to the nearest hundredth as needed.)
1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…
A fair die rolled once. Determine whether or not the events are mutually exclusive and find the probability that the number rolled is: a. 3 or 4 f. less than 2 or more than 5 c. 4 or less than 4
Find the specified probability. A candy company claims that its jelly bean mix contains 57% blue jelly beans. Suppose that the candies are packaged at random in small bags containing about 221 jelly beans. What is the probability that a bag will contain more than 61% blue jelly beans? O A. 0.108 O B. 0.213 O c. 0.113 O D. 0.887 OE. 0.111
Help, please.
Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2. Find the probability of A given that B occurs.
There are 20 different pairs of shoes. Pick at random 10 shoes. Let X be the number of paired shoes, M be the number of shoes that are left-foot, N be the number of shoes that are right-foot. (a) Find the distribution of X. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula (b) Let Y = M – N. Give all possible values of Y. Find the distribution of Y. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula. (c) let Z = |Y|, compute E(X), Var(X), E(Z) and Var(Z). Show your problem-solving process (not just the answer), keep 2 decimal places for E(X) and E(Z), and use the approximate values for the calculations of Var(X) and Var(Z).

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