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: Q. 15 Give classical (Laplacian, mathematical) definition of probability.

Q: Table 1 contains the probabilities associated with each possible pair of values for Y,and Y2 and is…

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: x = 1,2,3,4 f(x) = < c 0. otherwise So that the variable x represents the quantity produced of dates…

A: Given fx=2cx x=1, 2, 3, 40 otherwise Where x is the random variable…

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: Let Xn Exp(4), n > 1, be independent random variables. Estimate the probability that 1 S100 2

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: Suppose X and Y have the joint probability distribution given by the table shown below. Compute…

Q: Understand the probability distribution of a random variable, based on a real-world situation, and…

A: Given : X P(X) 200 0.6 500 0 Expected value ,E(X) = μ=∑X.P(X)…

Q: We walk from Central Park to Empire State Building with a constant speed. Our speed X is a random…

A: Speed is uniformly distributed between 3 and 4.5 km/h from central park to empire state. (a) To…

Q: Let's say p a real function p by: 1 P(x) =e-*, x E R a. Why is the function p a probability density?…

A: I solved exactly first three subparts because of bartleby policy if you want more please uplode…

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: An exponential distribution has a parameter A. Find the probability that it will take on a value…

A: Solution

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: Let X be a continuous random variable with uniform distribution, and with A = 0.09, B = 0.34. What…

A: Uniform distribution is an example of continuous distribution. In this distribution, each random…

Q: The diserete reukan variable X has the probability distriution as shows A. 2 B. 1 C 3 D. 0 8. A. 4.5…

Q: Find the wrong answer. The moment generating function Select one: a. is a real-valued function b. is…

A: We can find an answer by using definition of moment generating function

Q: Let X be a random variable with probability distribution as follows: 3 f (x) | 1 1 1 3 Find the…

Q: When v, = 2, show that the significance level of F corresponding to a significant V2 probability p…

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

Q: 2. The values of Mean, Median and Mode of such a distribution are identical This means, X = M = Z.

Q: A city bus runs every 6 minutes on a certain route. Let X be the waiting time of a passenger…

A: A city bus runs every 6 minutes on a certain route X is the waiting time of a passenger arriving…

Q: Let SN = X1 + X2+..+XN. IfN takes the values 0, 1, 2, 3 with probabilities 0.5, 0.3, 0.1, 0.1…

Q: Let X~ binomial (n, p) and Y ~ binomial (m, p) be independent. 1. Derive the MGF of W = X +Y.

A: 3. Given that X~binomial (n, p) and Y~binomial (m, p) The MGF of X is, The MGF of Y is, a)…

Q: 5. Calculate the value of k so that the function f(x) = k/5ª. N, set a probability function of a…

Q: O The probability density function is f(x) = 2e-kx %3D i) Standard deviation of x = ?. %3D

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

Q1 Let probability distribution function of Xbe defined by х %3D 0,1, 2, 3. a P(x) = otherwise. Find the value of a. (а) (b) (c) (d) Find P(-1
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)?
In the following table, x is a discrete random variable and p(x) is the probability density. The standard deviation of x is 1 2 p(x) 0.3 0.6 0.1
In the transmission of digital information, the probability that a bit has high, moderate, and low distortion is 0.01, 0.04, and 0.95, respectively. Suppose that three bits are transmitted and that the amount of distortion of each bit is assumed to be independent. Let X and Y denote the number of bits with high and moderate distortion out of the three, respectively. Determine: (c) E(X)= i Round your answer to two decimal places (e.g. 98.76).
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.
Q.No.6.a. A discrete variable ‘X’ has the following probability distributionX -4 -1 1 4 6P(X=x) 0.1 0.4 k 2k 0.2i. Find the value of k.ii. P (x=3)iii. P(x≥1)iv. P(-1≤X<5)b. A bag contains 5 blue and 4 red balls, choose 5 balls randomly, if ‘X’ is the number ofblue balls selected.
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 =