Answered: Obtain the expected value of a random…

Obtain the expected value of a random variable with four values 1,2,3,4 with probabilities P(1)= 1/4 ; P(2)=1/4 ; P(3)=1/8 ; P(4)=3/8

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: TRUE OR FALSE For a Binomial random variable, it can only takes on two possible values, 0 or 1.

A: The question is about binomial distribution.Introduction :Binomial distribution :1 ) It is a…

Q: Suppose a random variable X has a Poisson distribution with 2 = 5. Compute the probabilities p2. P3.…

A: Given,A random variable X~Poisson(λ=5)P(X=x)=e-5×5xx! ; x≥0

Q: Suppose a simple random sample of size n=1000 is obtained from a population whose size is…

A: given data N = 1000000 n = 1000 p = 0.76 P(x≥780) = ?

Q: Suppose a simple random sample of size n=1000 is obtained from a population whose size is…

Q: Suppose a simple random sample of size n =1000is obtained from a population is obtained from a…

A: To calculate the probability of obtaining x = 210 or fewer individuals with the specified…

Q: A certain mutual fund invests in both U.S. and foreign markets. Let x be a random variable that…

A: Given, μ=1.9σ=0.5 a) The random variable x is a mean of a sample size 400. Therefore by central…

Q: IF X is a binomial random variable in a binomial experiment with p=3/4 and n=4 find(X=2)

A: Binomial Distribution: Suppose we have n trials each having two outcomes, say Success and Failure,…

Q: the probability of P(X=k)= if a binomial distribution with a trial repeated n = 9 times,Using the…

A: The probability of success can be calculated as: p+q=1 p+0.61=1 p=1-0.61 p=0.39

Q: If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x\leq 6)…

A: If X~Bin(n,p) P(X=x)=nCxpx(1-p)n-x x=0,1,2,..,n Farmula used nCr=n!/(r!(n-r)!)…

Q: Suppose a simple random sample of size n=1000 is obtained from a population whose size is…

A: Here is given that, sample is 1000 and proportion is 0.58. We will use binomial distribution to find…

Q: Medical researchers developed a test that determines whether a person has a particular disease. The…

Q: What is the probability of P(X=k)= if a binomial distribution with a trial repeated n=13 times,…

A: Let X be a random variable where; X~Binomial(n,p)The probability mass function is given…

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: If X is a binomial random variable, compute the probabilities below: (a) X - Binom(8,0.4) P(X 3)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute.…

A: Hi there! Thank you for posting the question. As there are multiple sub parts, according to our…

Q: A sample is selected from one of two populations, S, and S,, with P(S,) = 0.9 and P(S,) = 0.1. The…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.it…

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: Suppose that X is a binomial random variable with n=3 and p=0.22. What is the mean of the random…

A: It is given that X is a binomial random variable with probability of success , p=0.22 and number of…

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

A: X~ U (15 ,55 ) Find ( a ) P ( 15<X<25 ) =? ( B ) p ( x>=25 ) =?

Q: Suppose X is a binomial random variable that models the number of successes in n trials, where each…

A: Suppose X is a binomial random variable that models the number of successes in n trials, where each…

Q: A random variable follows a binomial distribution with a probability of success equal to 0.62. For a…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: a) Let's consider the monthly return of the stocks in the fund to be a sample from the population of…

A: According to the answering guidelines, we can answer only three subparts of a question and the rest…

Q: You went to a clinic to visit the doctor. There were 4 patients ahead of you in the waiting room.…

A: Given that there are 4 patients ahead in the waiting room. Their waiting times to meet the doctor…

Q: The executives at a software company called Front Line are trying to decide if they should continue…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…

Q: A laser beam has 5 gates on its route to reach a receptor. If one gate is closed, the light cannot…

Q: Consider a set of 20 independent and identically distributed uniform random variables in the…

Q: The lifetime (in years) of a washing machine from a particular company is an exponential random…

A: Given: Let 'X' be a lifetime (in years) of a washing machine from a particular company. X follow…

Question

Obtain the expected value of a random variable with four values 1,2,3,4 with probabilities P(1)= 1/4 ; P(2)=1/4 ; P(3)=1/8 ; P(4)=3/8

Video Video

Expert Solution

Step 1

Answer: - Obtain the expected value of a random variable with four values 1,2,3,4 with probabilities

P(1)= 1/4 ; P(2)=1/4 ; P(3)=1/8 ; P(4)=3/8

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

the height of a randomly selected male individual in a population is a normal random variable with mathematical expectation m=178 σ =8 what % of the individuals of this population is taller than 185cm?the height of the female individuals in this population is of normal distribution with parameters m=165 cm and σ=7cm. what % of the women are taller than half of the men
Suppose X is a binomial random variable with n = 20 and p = .25 .What is the expected value of 5X - 4?
A toy factory is planning to purchase two machines for their production. Machine A produces 5 toys on average with 1 unit of variance in 1 hour. Machine B, on the other hand, produces 10 toys on average with 3 units of variance in 2 hours. What is the expected number of toys at most could be produced among all combinations of machine A and B in 2 hours?
Suppose 500 people audition for admission to a dance school. Each dancer in one half of the group will be admitted with probability 0.07, while each dancer in the other half of the group will be admitted with probability 0.04. Let X be the total number of dancers admitted. (Notice that X is the sum of two binomial variables). (a) Find the mean and variance of X. (b) Use normal approximations to binomial random variables to approximate (i) the probability that more than 30 dancers are admitted. (ii) the probability that at least 20 dancers are admitted.
The expected life of a certain component in a mechanism is treated as a random variable having a gamma distribution with a = 3 and ß = 2. The average expected life of such component is 12 months, what is the probability that this component can have a greater than average expected life?
The executives at a software company called Front Line are trying to decide if they should continue to provide free coffee in their breakrooms. They have 79 employees and each employee has a 67% chance of drinking coffee in the break room each day. Recall, for a binomial random variable, dbinom(j,n,p) P(Y = j) and pbinom(j,n,p) = P(Y < j). What is the expected number of employees who will drink coffee in one day?
2 (a) Let Y be the random variable that counts the number of sixes which occur when a die is tossed 10 times. What type of random variable is Y? What is P (Y = 3), expected number of sixes,Var(Y )? (b) Let U be the random variable that counts the number of accidents that occur at an intersection in one week. What type of random variable is U? Suppose that, on average, 2 accidents occur per week. Find P(U = 2), E(U), and V ar(U). (c) Let X be the recorded body temperature of a healthy adult in degrees Fahrenheit. What type of rv is X? Estimate its mean and standard deviation, based on your knowledge of body temperatures.