Problem : An urn contains 4 white balls and 3 blue balls. Let the random variable X denotesdrawing of blue balls when two balls are drawn one after the other without replacement.i) Find the probability distribution of number of blue balls.ii) Find the mean for the probability distribution of X.iii) Draw the graph for the probability mass function P(X = x).

Answered: Image /qna-images/answer/13c0cab2-1719-4054-97f6-25f1bfdc8eb6.jpg

Answered: Problem : An urn contains 4 white balls…

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

Persons entering a blood bank are such that 1 in 9 have type O+ blood and 1 in 30 have type O- blood. Consider six randomly selected donors for the blood bank. Let X denote the number of donors with type O+ blood and Y denote the number with type O- blood. Find the probability distributions for X and Y. Also find the probability distribution for X+Y, the number of donors who have type O blood.
1. There are two boxes. In each box there are 4 cards with a different number printed on it. The four cards have been numbered as 1,2,3,4 in each box. Two cards are drawn random from each box. The random variable X represents the difference between the number on the card from box 1 minus the number on the card from box 2. a) Find the mean of this probability distribution. (i.e. Find E[X] ). Find the variance and standard deviation of this probability distribution. (i.e. Find V[X] and SD[X]) The random variables M and W are defined as follows: M = X+5 and W = (1/2)X+5 Find E[M] and E[W]. Find V[M] and V[W]. Mary and William play a game using the cards in the above boxes. Randomly two cards are drawn, and Mary records his score using the random variable M and William uses the random variable W. They repeat this for a large number of times and compare their scores. Comment on any likely differences or similarities of their scores
The table shows relative frequencies for red-green color blindness in one doctor's practice. M represents 'person is male' and C represents 'person is color-blind'. Use this table to find the probability P(M nC). P(Mn C) = C M M' Totals C 0.047 0.005 0.052 C' 0.392 0.556 0.948 Totals 0.439 0.561 1.000
Consider the random variable L, the length of time it takes to hear a case in a small claims court. Assume that the probability function for L is a constant, c, over the interval 20 to 120 minutes. a. Find the probability that it will take more than an hour to hear a case. b. Find the probability that it will take exactly 1 hour to hear a case.
7-2-3'2
12.THEORY OF DISTRIBUTIONS
An urn contains 3 white balls and 3 red balls. Let the random variable X denotes drawing of white balls when two balls are drawn one after the other with replacement. 1-Find the probability distribution of number of white balls. 2-Find the mean for the probability distribution of X. 3-Draw the graph for the probability mass function.
24. Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town X 0 3 P(x) 0.03 0.54 (a) Find the probability of randomly selecting a household that has one or two televisions. The probability is (Type an integer or a decimal. Do not round.) (b) Find the probability of randomly selecting a household that has two or more televisions. 1 0.11 2 0.32 The probability is (Type an integer or a decimal. Do not round.) (c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive. The probability is (Type an integer or a decimal. Do not round.) (d) Find the probability of randomly selecting a household that has at most two televisions. The probability is (Type an integer or a decimal. Do not round.)
Let a function of random variable X is given by ( refer pictures) : a) Find the value of K b) Form the table of probability distribution of X C) Find the mean and variance of the distribution
According to a study by Weight Loss R US of their live-in weight loss program, the people who follow his program lose between 6 and 14 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. Suppose it is known that the individual lost more than ten pounds in a month. Find the probability that he lost less than 10 pounds in the month. (round your answers to 4 decimals.)
Time left 1:08:15 Two numbersx and y are selected at random between 0 and 1. Let the events A, B and C be defined as follows: A (x> 1/3), B = (y> 2/3} and C = (x>y). Please find the probability of A given C. О a. 1/4 OБ. 3/4 Oc. 5/9 Od. 8/9 Next page age Jump to.. unular amek için buraya yazın
Three 3-sided dice are tossed. Each die has its sides labeled 0, 1, and 2. Let X denote the product of the outcomes of the threee dice. Determine the probability mass function (pmf) of X.

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