Let there be 10 white balls and 12 black balls in a bag. Let four balls be selected from this bag on condition that they are not replaced. Which of the following is the probability that the X random variable will take the value zero to represent the number of black balls as a result of testing the X random variable? a) 0.015 B) 0.02 NS) 0.30 D) 0.20 TO) 0.15

Let there be 10 white balls and 12 black balls in a bag. Let four balls be selected from this bag on condition that they are not replaced. Which of the following is the probability that the X random variable will take the value zero to represent the number of black balls as a result of testing the X random variable? a) 0.015 B) 0.02 NS) 0.30 D) 0.20 TO) 0.15

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

15 -

Let there be 10 white balls and 12 black balls in a bag. Let four balls be selected from this bag on condition that they are not replaced. Which of the following is the probability that the X random variable will take the value zero to represent the number of black balls as a result of testing the X random variable?

0.015

0.02

NS)

0.30

0.20

TO)

0.15

Video Video

Expert Solution

Step 1

Hypergeometric Distribution: Suppose there is a finite population of size N that contains exactly K objects that has a specified feature. A random sample of size n has been drawn from this population without replacement, wherein each draw is either a success or a failure. Then the probability distribution of the number of objects in the sample with that feature, called success, is said to follow Hypergeometric distribution.

Let us assume X be a random variable denoting the number of success.

Then $X ~ Hypergeometric (N, K, n)$ , N, K and n being the parameters of the hypergeometric distribution.

The probability mass function of X is given by,

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.03. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: a. 0.5364 b. 0.3127 C. 0.5846 d. 0.404 е. 0.4773
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
3.32 Arachnophobia: A 2005 Gallup Poll found that 7% of teenagers (ages 13 to 17) suffer from arachnophobia and are extremely afraid of spiders. At a summer camp there are 10 teenagers sleeping in each tent. Assume that these 10 teenagers are independent of each other. a) Calculate the probability that at least one of them suffers from arachnophobia. Round your answer to 4 decimal places. b) Calculate the probability that exactly 2 of them suffer from arachnophobia? Round your answer to 4 decimal places. c) Calculate the probability that at most 1 of them suffers from arachnophobia? Round your answer to 4 decimal places.
Only handwritten
The probability that a machine develops a fault within the first 3 years of use is 0.003. If 40 machines are selected at random, the probability that 38 or more will not develop any faults within the first 3 years of use is ....
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.
40% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is (Round to three decimal places as needed.) ...
9- A normal random variable X has an unknown mean u and standard deviation o = 2.5. If the probability that X exceeds 7.5 is 0.8264, what is the value of p? 0 a) O 9,85 b) O 5,4 c) 9,35 d) 5,15 139417 OBoş bırak
Let X be a random variable with the following PMF: X = k k=-5 k=-2 k=0 k=2 k=5 P(X=k) 0.3 0.05 0.05 0.2 0.4 What is the probability that X is a negative number. Group of answer choices 0.6 0.4 0.35 1
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 11 passengers per minute. a. Compute the probability of no arrivals in a one-minute period (to 6 decimals). 0.0000 b. Compute the probability that three or fewer passengers arrive in a one-minute period (to 4 decimals). 0.0103 c. Compute the probability of no arrivals in a 15-second period (to 4 decimals). 0.0820 d. Compute the probability of at least one arrival in a 15-second period (to 4 decimals). 0.9179