Use probabilities to justify your answer.6. A discrete random variable X has the following probability distributions34P(X)0.2k0.2Given that mean of random variable X is 3.4, determine the values of constants k and g3 Page

In general, the total probability is 1.

Answered: A discrete random variable X has the…

A discrete random variable X has the following probability distributions 3 P(X) 0.2 k 0.2 Given that mean of random variable X is 3.4 , determine the values of constants k and g

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 y be a random variable having anormal distribution with a mean equal to 250 and a standard…

Q: Match the probabilities with their values. Z is a Random Variable which has a standard normal…

A: Given information: Z is a Random Variable which has a standard normal distribution. Z~N(0, 1) The…

Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…

A: Given Information: Mean (u) = 62 kg Standard Deviation (s) = 9 kg Sample mean (x) = 63.8 kg…

Q: In a certain city, the daily consumption of petroleum in thousand barrels of oil can be treated as a…

A: To use the relation between gamma and Poisson distributions, we need to know that if X has a Poisson…

Q: 5(a) A random variable is defined as 1/ 70 (3? − 2); ? = 1,2,3,4,5,6. (i) Construct the…

Q: (c) P(Z -2.15)

Q: Mr Ledwaba from Department of Health assumed that a random variable X is normal with mean 2 and…

Q: Q2) Based on her past experience, a professor knows that the probabiity distribution for X = number…

Q: Suppose a random variable x is best described by a uniform probability distribution with range 2 to…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

Q: Using Basu’s Theorem to show that for a random sample drawn from a normal distribution N (μ, σ2),…

A: It is given that a random sample from the Normal distribution N(μ,σ2).

Q: If X is a Poisson random variable with a rate of 5. Then, Calculate the probability P( X < 2)?

A: The probability mass function of a Poisson distribution with rate parameter P(X=k)=e-λ·λkk! where λ…

Q: Suppose a random variable a is best described by a uniform probability distribution with range 1 to…

A: Given information: The random variable X has uniform probability distribution with 1 to 5. The…

Q: What is the distribution of X? 1) Out of the 38 pizzas that you try, how many would you expect to…

A: Let p be the probability of you liking the pizza. Given that p = 0.08

Q: We will calculate the variance of the following probability distribution 0 0.35 P(X=x) Enter your…

A: Given data: x 0 2 6 P(X=x) 0.35 0.29 0.36

Q: Q 5) A die with six faces is rolled. The discrete random variable "X" represents the outcomes on the…

A: given distribution is x 1 2 3 4 5 6 P(X=x) a a a b b 0.3 table represents probability…

Q: What are the probabilities P1, P2, P3 for the router failing not earlier than tB = 500h for the…

A: Let X be the time until failure is approximately well estimated with an exponential distribution…

Q: A random variable x can have five values: 0, 1, 2, 3, 4, 5. The probability distribution is: x 0…

Q: he following histograms each represent binomial distributions. Each distribution has the same number…

A: The objective of the question is to match the given probabilities of success (p=0.4, p=0.5, p=0.6)…

Q: If a random variable X has the x² distribution with degree of freedom 13. Then P(4.107 < X < 9.299)…

A: Given : df = 13

Q: X = # of drinks per day Probability 0 0.38 1 0.32 Is this a continuous or discrete random variable?…

A: It is given as the distribution of the number of alcoholic drinks consumed per day in that…

Q: The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40…

Q: Create a sample problems on the normal distribution of continuous probability distributions? Give…

A: Sample problem on normal distribution: The test scores of students studying Statistics in an…

Q: Q. Is it possible to have a uniform probability distribution and an exponential probability…

A: Let a continuous random variable with a uniform probability distribution over the interval , then…

Q: (a) P(x≤ a) = 0.42 a = (b) P(x a) = 0.32 a =

A: a) Suppose the random variable x defines the Uniform probability distribution from 0 to 5.

Q: Find the following probabilities for the standard normal random variable z (1 point) Find the…

A: We have given that the standard normal random variable z Note: According to Bartleby expert…

Q: Determine the Probability between 2s hours that battery will have a Life and 50 hours (1) Determine…

A: Provided information is, a firm manufactures batteries for ratios. Probability density function is:…

Q: (e) P(1.62 ≤ x ≤ a) = 0.24 a = 2.24

A: From provided information:X~U [a=2, b=5]For uniform distribution, the probability density function…

Q: Suppose a random variable is best described by a uniform probability distribution with range 2 to 4.…

A: given data, data follows uniform distribution X~U(2,4)we have to find out the given probabilities.

Q: Let X be a random variable with range {20,30,50} and probability distribution P(X=20) = 0.25,P(X=30)…

Q: If X is a random variable with any continuous distribution, explain why P(X<x)=P(X≤ x)

A: The concept of probability is an essential tool in many fields, including statistics, economics, and…

Q: Suppose a random variable az is best described by a uniform probability distribution with range 1 to…

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

Q: The probability that data are entered incorrectly into a field in a database is 0.008. A data entry…

Q: TEL CEL LO Cards are selected at random and with replacement from an ordinary deck of 52 cards.…

A: Let p be the probability of getting Ace. Then p = 4/52 = 1/13 Given that X : number of trials to get…

Q: Q7. A random variable X with a mean of 2.5 follows an exponential distribution. Find the following…

A: The random variable X follows an exponential distribution with a mean =2.5The pdf of the exponential…

Q: Classify each of the following probability values as either valid or invalid P(X) =0.6x P(X) = 0.65…

A: Answer :- Find the following probability values as either valid or invalid We know,…

Q: Random Variables) Prove that the mean and standard deviation of the exponential distribution are…

A: We know that the mean and variance of exponential distribution is 1/λ and 1/λ^2

Q: stribution with parameters a= 2 and B= 2. What is the probability that on the next service call ) at…

A: Let X ( time required to repair the heat pump ) Follows a Gamma distribution , Given : α = 2β = 1/2…

Q: The distribution function for a random variable X is -2x F (x) = { x > 0 x 2?

A: Find your answer below

Question

100%

Use probabilities to justify your answer.
6. A discrete random variable X has the following probability distributions
3
4
P(X)
0.2
k
0.2
Given that mean of random variable X is 3.4, determine the values of constants k and g
3 Page

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Multivariate Distributions and Functions of Random Variables$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Suppose a random variable X is best described by a uniform probability distribution with range 0 to 6. Find the value of a that makes the following probability statements true. P( X > a ) = 0.13 P( 2.61 <= X <= a ) =0.03
Suppose a random variable x is best described by a uniform probability distribution with range 0 to 5. Find the value of a that makes the following probability statements true.
Weights of Lamb after eight weeks after born are normally distributed with mean µ = 14 kg and variance σ 2 = 4. a)Find the probability p that a single lamb has weight less than 12 kg. b) Find the probability that exactly 3 of the next 5 lambs examined will have weights less than 12 kg.
The probability that the standard normally distributed variable is between 1.011 and 2.8 is approximately equal to.
Q3: Find the expectation and the variance of X, where X is binomial random variable X ~ Binomial (n, p), Var(X)?
If X is a uniformly distributed random variable with a=5 and b=9,then Calculate the standard deviation of X? Round to three decimals
Take your time and solve all parts kindly and solve correctly plz and get a thumb up plz
A discrete random variable x has the the following probability distribution X 2 3 4 5 6 P(X=x) 3k2k2 3k2k2 3kk 2kk kk i) Find the value of k? ii) Find P[X>5][3.5<X<6.5]P[X>5][3.5<X<6.5]
Suppose a random variable x is best described by a uniform probability distribution with a range 0 to 5. Find the value of a that makes the following probability statements true.