A random variable X has the following probability mass function defined in tabular form as shown below x −1 1 2 P(X = x) 2c 3c 4c i. Find the value of c ii. Compute P(X = −1) iii. Find the standard deviation of X

A random variable X has the following probability mass function defined in tabular form as shown below x −1 1 2 P(X = x) 2c 3c 4c i. Find the value of c ii. Compute P(X = −1) iii. Find the standard deviation of X

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: Let X refer to the sum of two rolled die. Describe the probabilities of each outcome. If pX(x) is…

A: It is given that x denotes the sum of two rolled dies.

Q: X 1 2 Y O 0.70 0.00 1 0.00 0.30 a) Compute and interpret the covariance and correlation between the…

Q: Q3. The moment generating function for a random variable X is e3t M(t)=1-t2¹ What are the mean and…

A: The moment generating functionMx(t)=e3t/(1-t2) -1<t<1To find mean and variance of X Concept…

Q: A weather forecaster predicts that the May rainfall in a local area will be between 1 and 7 inches…

A: Given data A weather forecaster predicts that the may rainfall in a local area will be between 1 and…

Q: 3.5 Determine the value c so that each of the follow- ing functions can serve as a probability…

A: We have given that the probability distribution of discrete random variable X. In discrete…

Q: Question 2 et Y~ B(n = 2,p=0.5). 1. Construct the probability distribution table for Y. k P(Y = k) =…

A: Given that Y~binomial (n,p) n=2 , p=0.5

Q: When mean number μ of Atlantic hurricanes per year is given: μ=7.2 Find the probability that in a…

A: Give, X= number of Atlantic hurricanes X follows a Poisson distribution with μ=7.2

Q: Let N = 9,r = 3, andn= 5. Assuming thatX has a hypergeometric probability distribution, compute the…

A: Hypergeometric Distribution : Let randomly draw n elements from the set of N elements without…

Q: Let X = hourly median power (in decibels) of received radio signals transmitted between two cities.…

A: Given that, be the hourly median power (in decibels) of received radio signals transmitted between…

Q: For A-D: A certain breed of pigs has weights that are normally distributed with a population mean of…

A: Given,mean(μ)=350standard deviation(σ)=25

Q: Consider the following probability distribution where random variable X denotes the number of cups…

A: Given data is x 0 1 2 3 4 5 P(x) 0.35 0.40 0.16 0.02 0.02

Q: i. Show that f(x, a, ß) is a distribution ii. Find E(X)

Q: The lifetime of a certain lightbulb is a random variable with the expectation of 9000 hours and a…

Q: Suppose that a discrete random variable X has a distribution with the following probability (4cx,x =…

A: Suppose that a discrete random variable X has a distribution with the following probability…

Q: a) Write E((X − a)²) in terms of a, μ and oʻ. b) For which value a is E((X − a)²) minimal? c) For…

Q: Answer the following for the probability distribution f(x) = (2x + 1) X= 0, 1, 2, 3 a. Find the mean…

A: Given function is f(x)=116(2x+1) X=0,1,2,3

Q: Let X have an exponential distribution with 0-1. The probability P 6. <5is equal to

A: Introduction: Given that X is a Exponential random variable with parameter θ = 1. The PDF, fX(x) and…

Question

A random variable X has the following probability mass function defined in tabular form
as shown below
x −1 1 2
P(X = x) 2c 3c 4c
i. Find the value of c
ii. Compute P(X = −1)
iii. Find the standard deviation of X

Video Video

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: Given data

VIEW

Step 2: Finding value of c

VIEW

Step 3: Finding P(X = −1)

VIEW

Step 4: iii) Finding the standard deviation of x

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 34 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let X be the number of visits to the dentist's office for a randomly selected student. Suppose that X has a probability distribution function given by the following table: X P(X= x) 0.15 0.65 Find P(X ≤u) where µ = E(X) is the average number of visits. 0.5 0.15 1 1 0.50 2 0.35
Choose ALL THE CORRECT STATEMENTS in the following ones about probability distribution. i. Probability mass function indicates the probability distribution of a continuous random variable. ii. Probability mass function indicates the probability distribution of a discrete random variable. iii. The probability mass function of a discrete random variable X at a is denoted by P(X < a). iv. The probability function of a continuous random variable Y can be described by using P(Y= a).
Exercise 3. Let X be a random variable with mean and variance o². For a € R, consider the expectation E((X-a)²). a) Write E((X-a)²) in terms of a, u and o². b) For which value a is E((X - a)²) minimal? c) For the value a from part (b), what is E((X-a)²)?
Suppose Y - Uniform(01, 02) where the parameters and 02 take the values 1 and 5 respectively. Compute the probability P(Y < y) when y=4.71.
2/6
X is the number of successes in 10 independent Bernoulli trials. The variance of X is equal to 3/4 of the expectation of X (ie Var(X)=0.75E(X)). The probability that X is less than 2 is equal to_____. Please fill in the blank.
pls answer completely.
Assume that the probability of a being born with Genetic Condition B is p=11/60. A study looks at a random sample of 1443 volunteers.Let X represent the number of volunteers (out of 1443) who have Genetic Condition B. Find the standard deviation for the probability distribution of X.(Round answer to two decimal places.)σ = Use the range rule of thumb to find the minimum usual value μ–2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers.usual values =