2.a) From an urn with 15 red balls and 5 green balls, one ball is drawn with replacement until a green ball is obtained. Let X be a random variable whose value is the number of tries for a green ball to be drawn. Find the distribution of X; that is, find the probability that X = k (k = 1,2,3, ..). b) Find the probability P(X > 3) for the random variable X described in part a) of this problem.

2.a) From an urn with 15 red balls and 5 green balls, one ball is drawn with replacement until a green ball is obtained. Let X be a random variable whose value is the number of tries for a green ball to be drawn. Find the distribution of X; that is, find the probability that X = k (k = 1,2,3, ..). b) Find the probability P(X > 3) for the random variable X described in part a) of this problem.

Name: 2. a) From an urn with 15 red balls and 5 green balls, one ball is dr
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 2. a) From an urn with 15 red balls and 5 green balls, one ball is drawn with replacement until a greenball is obtained. Let X be a random variable whose value is the number of tries for a green ball to be drawnFind the distribution of X; that is, f

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

An unfair coin is such that on any given toss, the probability of getting heads is 0.6 and the probability of getting tails is 0.4. The coin is tossed 8 times. Let the random variable X be the number of times heads is tossed. Find P(X=5)= Find P(X≥3)=
9
Suppose that X follows a Binomial distribution, i.e., X ∼ Binomial(3, 0.5). Define a new random variable as Y = X 2 , then, what is the value of the PMF of Y evaluated at 1, i.e., what is Pr(Y=1)? a). 0.3125 b). 0.25 c). 0.375 d). 0.5
Only handwritten
I have uploaded my question as image . please give answer
32 - The random variable X, which shows the grades of the students in a class in the exam of the statistics course, has a normal distribution with a mean of 80 and a variance of 25. Which of the following is the lowest grade with a probability of 0.3015? a) 32.5 B) 55 NS) 82.5 D) 68 TO) 89
5. The probability distribution of discrete random variable X is given by k for x = 1, 2, 3 x +1 P(X = x) %3D
1. Given the probability distribution of a discrete random variable x below, find P(X = 7). !3! 5 6. 8. POX) 5. 14 36 36 36 36 2. Given the probability distribution of a discrete random variable X below, find P(X 2 8). 7 8 10 12 0.09 0.23 0.14 0.29 0.25 3. Given the probability distribution of a discrete random variable X below, find P(X < 7). 5 0.13 0.06 0.22 0.34
4. In a 7 game playoff series like the World Series, the first team to win 4 games wins the series. For the purpose of this question, assume that the teams are evenly matched, and there is an equal probability that each team wins each game, and that the outcome of the games are independent. Let X be the discrete random variable that represents the number of games played in the series. The following is the probability distribution of X. L Value of X 4 Probability 0.125 5 0.25 6 0.3125 7 0.3125 Determine and interpret the standard deviation of X (in the context of the problem).
2. The number of meteors found by a radar system in any 30-second interval under specified a. What is the probability that at least one meteor is found in a one-minute interval? ne meteors appear randomly b. Determine x such that the probability no meteor is found in x-minute interval is 0.02. UTM M UTM UTM c. If there is no meteor appear after two-minute interval, what is the probability that it UTM will appear in the next one and a half-minute interval? m UTM
1. The following table shows the probabilities associated with the discrete random variable, which counts the number of sales performed at a peak hour in a store in a downtown commercial. It is known that the probability that at most three sales is 40%, that at least five sales are made is 55%, but having less than 6 sales is 63%. one). Find the values of a, b, and c. two). Calculate the cumulative distribution function 3). Find the expectation and variance
True False? a)A sided dice with the probability of 1 and 6 coming p and the other numbers (2, 3, 4, 5) is 2p is rolled n times. x̄, is the average of the numbers in n shots. According to this information, p = 2 / 5x̄. b)If X1, ..., Xn, N is a random sample drawn from the distribution (μ, ϭ²), the sample mean x̄ and sample variance S² are always independent.