The cumulative distribution function F(x) of a random variable X is given in thefollowing table:123F(x)0.5b1aLet a and b are positive constants. If P(1 < X < 4) = 0,9, and P(X > 3) =0.3. Then a and b equal to:a=0.1, b=0.3None of thesea=0.1, b=0.7a=0.5, b=0.8

Answered: Image /qna-images/answer/d74f01f6-fd5b-4b71-b255-5c1f34863293.jpg

The cumulative distribution function F(x) of a random variable X is given in the following table: 1 2 3 F(x) a 0.5 b 1 Let a and b are positive constants. If P(1 < X < 4) = 0,9, and P(X > 3) = 0.3. Then a and b equal to: a=0.1, b=0.3 O None of these a=0.1, b=0.7 a=0.5, b=0.8

The cumulative distribution function F(x) of a random variable X is given in the following table: 1 2 3 F(x) a 0.5 b 1 Let a and b are positive constants. If P(1 < X < 4) = 0,9, and P(X > 3) = 0.3. Then a and b equal to: a=0.1, b=0.3 O None of these a=0.1, b=0.7 a=0.5, b=0.8

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: A random variable X has the following probability mass function defined in tabular form as shown…

A: x-112P(X=x)2c3c4c

Q: Let X and Y be discrete random variables with joint probability function p(x, y) = Calculate E A B C…

A: The discrete random variable and with joint probability function is given by:

Q: The pdf of a random variable X is given by: 1 3 f(x) = + for 0 ≤æ≤2 8 8x Please find P(1 ≤ x ≤ 1.5).…

A: Use the given information.

Q: The cumulative dietribution function for a random variable X ie given by: (1-e* F(x)={ for x20…

Q: If X is a random variable with probability distribution as given below: X P(X) 0 1 2 3 k 3k 3k k…

Q: Suppose that we have a discrete random variable Xa with PDF and CDF fa(x) and Fa(x), and a…

A: Explain the concept of mixed random variables. Let Y be a discrete random variable , Z be a…

Q: The PDF of a random variable is if z 3 -{ f(x) = 0, A (5+z)² >

A: The pdf of ξ is, fx=0, if x<3A5+x2, x≥3 a. Value of A is obtained below:…

Q: With k a constant, the random variable X has probability function ſk (x + 1)2 x = 0, 1, 2, 3…

Q: The common probability function of X and Y random variables like this a. Find the value of Cov (X,…

Q: Let the random variable S and T be independent and identically distributed as follows: P(S = -1) =…

A: Solution: 6. From the given information, S and T are independent and their probabilities are

Q: Let X be a random variable with p.d.f. 0<x<0 S(x) = • ,find E(e3) O.w

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Let X be the random variable, and create two new copies of this X₁, X₂ ~X x | P(X = x) 0 0.5 1 0.2 2…

A: To determine whether 2X and X1 + X2 have the same distribution, we need to compute their respective…

Q: Property 4. If X is a random variable and a and b are constants, then E (a X + b) = a E (X) + b,…

Q: Find P(X is lesser than or equal to 1, Y=1).

A: We have to find the P(X ≤ 1, Y = 1)

Q: A 13 Suppose that P(X = a) = p. P(X = b} = 1- p, a. Show that X-b b. Find Var(X) is a Bernoulli…

A: Note: " Since you have asked multiple question, we will solve the first question for you. If you…

Q: X₁ X₂ X3, and X₁ are normally distributed random variables X₂ The variable(s) which follow(s) a…

A: Determining which variable(s) follow a standard normal distribution:A standard normal distribution…

Q: Kand Y are discrete random variables taking values 0, 1, and 2. The joint probability distribution…

Q: Let X and Y be independent random variables. Which statements are true? Select one or more: a.…

A: We know that, If X and Y are two independent random variables, Then, These Statments are true :…

Q: Determine the probability mass function of X. Use the probability mass function to determine the…

A: Here use basic probability Here total no of experiment performed = 6 Probability = (no of…

Q: A random variable X has a mean u= 6, a variance a = 9, and an unknown probability distribution. Then…

Q: Suppose the p.d.f. of random variable X is defined as x³/20 if1<x< 3 f(x) = otherwise

Q: Determine the probability of Y.

Q: The PDF of a random variable is if x 3 f(x) = { a.) What is the value of A? 0, A (7+x)² ⁹ b.) What…

Q: The probability distribution of random variable X is defined as follows: X 0 1 2 3 4…

A: The expected value is calculated by the product of each observation and the corresponding…

Q: True False questions: A)Let the random variable Y = a + bX. Then mY = a+b2mX B)The cumulative…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: Q: Let X and Y be random variables such that E[X] = 2 and E[Y] = 3 . a. Find E[4X + 5Y] . b. Find…

A: It is given that E(X)=2 and E(Y)=3.

Q: There is a random variable X such that E(x)= 4, and E (x²)= 23 Select one: O True O False

A: Given: E [X] = 4 E [ X2] = 23

Q: Random variables Given independent random variableswith means and standard deviations as shown, find…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: 2 The cumulative distribution of a discrete random variable is given by - 2 -1 1 1 1 -+a 6. 17 -5a…

Q: Let X and Y be two discrete random variables with the joint probability distribution is given by:…

Q: - Consider the density function f(x) = 2x, 0<x<1, f(x)=0 elsewhere then the cumulative distribution…

A: Solution

Q: C/ If x is a normally distributed for continuous random variable with "= N+5+G and o= N+3. Find…

A: GivenN=45G=3μ=N+5+G=45+5+3=53σ=N+3=45+3=48

Q: a) Find the value of constant a. b) Find P[X < 3]. c) Find the probability that X is odd. d) Find…

A: Solution

Q: A discrete random variable has the p.mf f(x) = ax x=1, 3, 5 O A. 0.11 O B. 9 OC. 4.5 O D. 5

A: Given data: f(x) = a.x Where , x = 1,2,3 To find : value of a

Q: Let X be a discrete random variable with probability function f(x) = kx for x = 0,2,5,7. The value…

A: Use the condition of valid pdf to find the value of k, i.e.∑x=07f(x)=1

Q: The probability that an event A occurs is 0.1. When A occurs, X is a discrete random variable with…

Q: Let X be a random variable with probabilities as shown in Table 3.7. Table 3.7 Values of X and P(x)…

Q: X is a discrete random variable with the probability distribution function: k Pr[X = k] 4 1 12 2 2…

Q: Let Y be a discrete random variable with generating function 4 Gy (s) 6 - s s2 What is E(Y) (in…

Q: Consider a random variable X taking the values k1, k2, ·.. , kn E R with probability P1, P2, ; Pn E…

A: Formula is

Question

100%

The cumulative distribution function F(x) of a random variable X is given in the
following table:
1
2
3
F(x)
0.5
b
1
a
Let a and b are positive constants. If P(1 < X < 4) = 0,9, and P(X > 3) =
0.3. Then a and b equal to:
a=0.1, b=0.3
None of these
a=0.1, b=0.7
a=0.5, b=0.8

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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

3
2. A random variable X has a probability mass function given by: 1 0.2 a. Determine P(x) = 2 b.Find P(X<2) c. Find P(X≥ 3) X P(x) 0 0.1 2 ? 3 0.4
D1. Account
A- Let x be a discrete random variable with probability distribution function f(x)=k( x2 +20) and x= −1,1,2,3. Find the value of k. Find the Variance of X. B- Let x denote a discrete random variable which can take the values −2,0, and 5. Given that the expectation of X is 8/100 and P(X=−2)=8/20 , find P(X=5).
The probability generating function for a random variable X is given by: 9x(z) = 1 1 10. 1 I 20 8 -25 + 4 P(X > 10 |X < 22) equals Select one: a. 0.286 b. 0 c. 0.8 d. 1 е. 0.2
3. Determine the value c so that each of the following functions can serve as probability distributions of the discrete random variable X: a. f(x) = c(x² +4) for x = 0,1, 2, 3; 3 b. f(x)%3Dс for x= 0,1, 2 3-x
73
The possible values of a discrete random variable X are 0, 1, 3, and 6 with respective probabilities 0.2, 0.3, 0.1, 0.4. Find E[X] and Var(X).
X 1. A random variable is given by the table -2 1 3 4 P(X) | 0,2 | c | 0,3 | 0,1 Find constant c and then the mean value and variation.
q12
If a random variable X is defined such that E[(X -3)21 = 18 and E(X- 1)1=34, Then the values of u and a are. =3/5 and o=6 and a