Answered: Suppose X is a binomial random variable…

Suppose X is a binomial random variable with n = 4 and p = 0.2. Calculate ?(?) for each of the following values of x = 0, 1, 2, 4. Give the probability distribution int abular form.

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: The lead time (in days) for orders of a certain component from a manufacturer can be assumed to have…

A: Given that Let X denotes the lead time Mean =1 and variance =1 X follows gamma distribution with…

Q: 6.49 Let Y₁ be a binomial random variable with n, trials and probability of success given by p. Let…

A: Given: Y1~Bin(n1,p) Y2~Bin(n2,p) Y1 and Y2 are independent. The value of PX=x=nx×px×qn-x Also,…

Q: Let X be a binomial random variable with probability distribution 3-a SOOʻO**, x = 0,1, 2, 3, f(x) =…

A: Solution-: Given: n=3,p=2/5 ∴X→B(n=3,p=2/5) The p.m.f. of X is given by, P(X=x)=3x*(25)x*(35)3-x…

Q: An urn contains four white balls and six black balls. The random experiment consists of drawing…

A: 4 white ball+ 6 black ball =10 ball

Q: According to a recent study, 23% of peanut M&M's are brown, 10% are yellow, 15% are red, 23% are…

A: The probability of M&M is yellows (p) is 0.10. The sample size n is 4.

Q: Let of a loss due to damsge of insueed house and X be the payment by the insurance company. define…

A: Let Y: loss due to damage of insured house. Let X: Payment by insurance company.

Q: Suppose that X is a N(3,4) random variable and suppose that Y=2X+3. Determine P(Y>11.4).

A: We have given that, Let X be the random variable from N(3, 4) and Y = 2X + 3 Then, We will find…

Q: The probability that an item made by a certain company will bedefectiveis 0.1. Compute the…

A: Given : probability of success = p = 0.1 probability of failure = q = 1 - p…

Q: A discrete random variable x has the the following probability distribution..Find the value of k?…

A: We have to find value of k.

Q: Suppose we know that a discrete random variable X takes values {1, 2, 3, 4, 5, 6, ....}, then the…

Q: suppose that X is a random variable giving the number of tosses necessary for a fair coin to turn up…

A: Given that Let X denotes the random variable giving the number of tosses for a fair coin to turn up…

Q: 3 Assume that a biased die has P(1) = 1, P(2) = }, P(3) = P(4) = ¿ , P(5) =,P(6) = . If the die is…

A: Given - Assume that a biased die has P1 = 14, P2 = 18, P3 = P4 = 16, P5 = 112, P6 = 524. To find -…

Q: Give an example of a sample space 2. Find two different probability measures 1 and Q on 2. Define a…

Q: Lex & represent the IQs of individuals admitted to a state School for mentally retarded. X - Normal…

A: Let X represent the IQs of individuals admitted to a state School for mentally retardedXN(60 ,…

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: A jar contains 1 red marble and 4 blue marbles. Two marbles are selected randomly, without…

Q: is x discrete or a continuous random variable

Q: Jerry is a trickster. He managed to create a coin which has probability of coming up H is p = 0.5304…

Q: If the discrete random variable x have the following probability distribution f(x) = , x=…

A: Given Data: x f(x) x f(x) x2 f(x) 1 1/21 1/21 1/21 2 2/21 4/21 8/21 3 3/21 9/21 27/21 4…

Q: True or false: P(X-7)=P(Y=3).

A: Let X be a binomial random variable with n=10 and p=0.3. Let Y be a binomial random variable with…

Q: a) List each possible outcomefor the colors of the shirts if two shirts are drawn randomly from the…

A: In question, Given that a dresser drawer has blue shirts, yellow shirts, red shirts, and green…

Q: For a binomial random variable X, n = 15 and p= 0.60. Find P(x= 5)

A: Answer: From the given data, sample size (n) = 15 p = 0.60 X~ Binomial distribution (n,p)

Q: According to a survey, 31% of employees working at a very large company are happy with their jobs.…

A: 31% working employees of a large company are happy with their jobs. So, probability that an employee…

Q: You are riding from Ahmedabad to Gandhinagar on a Sunday morning. Your friend told you that on an…

A: Introduction to Poisson distribution: A random variable X is said to have a Poisson distribution…

Q: Q1/ Let X be a random variable having P. m. f ? P,(X) 1-find C.d.f. of X? 2-Graph the C.d.f.?…

A: Given information: X is a random variable with the probability distribution table as: X 0 1 2 3…

Q: (i) Mean lifetime of these batteries (ii) Probability that such battery will last more than 300 hrs.

Q: ppose that a random variable X has the uniform distribution o tegers 10,..., 20. Find the…

A: Given Total samples =11(10,11,12,13,14,15,16,17,18,19,20) Even number=10,12,14,16,18,20

Q: A random variable is normally distributed with and. Find the probability (i) that it will fall…

A: In this context, since the mean and standard deviation is not given, we are considering μ=50 and…

Q: I. TRUE OR FALSE. Write TRUE if the statement is always correct, otherwise write FALSE. TRUE 1. The…

A: 4) A standard normal curve is a normal probability distribution that has a mean of one and standard…

Q: 3. If P(AuB)=0.8, P(AnB')=0.3, and P(BnA')=0.2, determine following probabilities. 3-A. P(AUB)' 3-B.…

A: Given:P(A U B) = 0.8 (Probability of the union of A and B)P(A ∩ B') = 0.3 (Probability of the…

Q: Which of these is not a binomial probability of X~B(12,0.4)? A. P(X-5) = ¹2Co(0.4)5(0.6)7 B.…

A: Let X be the random variable from binomial distribution with probability of success (p) = 0.4 and…

Q: Suppose that X is a N(3,4) random variable and suppose that Y=2X-1. Determine P(Y>8).

A: We have, Let X be the random variable from normal distribution i.e, N(3, 4) and Y = 2X-1 Then, We…

Q: Suppose that the time students wait for a bus can be described by a uniform random variable X, where…

A: The objective of this question is to calculate the probability of a student waiting for a certain…

Q: If a dicrete random variable x takes only three values 2,5 and 9 and that p(x=2)= 0.2 , p(x=5) =…

A: We have to find p value..

Q: Give a probability histogram of the data, 7, 7, 7, 8, 10, 10, 12, 13, on the interval [5.5, 15.5],…

A: Given that the data are 7,7,7,8,10,10,12,13 Interval=[5.5,15.5], breaking that Interval into two…

Q: If x" bin(n1,p) and x2~bin(n2,p) then find the distribution of x1|x1+x2 ; where x1 and x2 are…

Q: Suppose 16% of students entering uni drop out before receiving their degree. If a random sample of…

Q: hat is the probability distribution if X~B(3, 0.82)

A: Given : X~B(3, 0.82) Here X is a random binomial variable with number of trials , n = 3 and p = 0.82

Q: What is the probability that a jet engine will last less than 12 months before needing to be…

A: Here given cumulative distribution function of X. X = time in months jet engine operate before…

Q: Suppose the time it takes my daugther, Lizzie, to eat an apple is uniformly distributed between 6…

Q: determine the probability density fucntion of Y = X².

Q: Suppose the time it takes my daugther, Lizzie, to eat an apple is uniformly distributed between 6…

Question

1. Suppose X is a binomial random variable with n = 4 and p = 0.2. Calculate ?(?) for each of the following values of x = 0, 1, 2, 4. Give the probability distribution int abular form.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

On an average 20 men for 100 and 15 women for 100 have the blood group 0. From a group of 80 men and 70 women one person was chosen randomly. It turned out that he/she has the blood group 0. What is the probability that the chosen person is a women? [Ans.21/53 ]
1) IfX~B(10,0.7), find the probability for P(X=5)
For the probability distribution of a discrete random variables, the probabilities of any single value of x is always
Q3. Let X and Y be two independent random variables, each representing the number of trials until the first success in a sequence of Bernoulli trials. Evaluate P(X = Y) assuming that the probability of success in a single trial(in case of X and Y both) is 0.4.
23. *An insurance policy pays an individual 100 per day for up to 3 days of hospitalization and 25 per day for each day of hospitalization thereafter. The number of days of hospitalization, X, is a discrete random variable with probability function Pr(X = k) = (1/15)(6 – k), k = 1, 2, 3, 4, 5. Calculate the expected payment for hospitalization under this policy. (213.3)
The time between busses on Stevens Creek Blvd is 12 minutes. Therefore the wait time of a passenger who arrives randomly at a bus stop is uniformly distributed between 0 and 12 minutes. Find the probability that a person randomly arriving at the bus stop to wait for the bus has a wait time of at most 5 minutes.
10. Two random variables X and Y take on the values i and 2 with probability 1/2' (i = 1,2, ...). Show that the probabilities sum to one. Find the expected value of X and Y.
Suppose that X is a N(3,4) random variable and suppose that Y=5X+2. Determine P(Y>18.5).
Let X be the time (in minutes) it takes Mr. Sheikh to drive from his home to his office. Suppose X has a uniform distribution on [25, 40]. If he leaves his home every day at 8:25 am and has to be in by 9:00 am, what is the probability that he will be late for work?
Pavan