Answered: A random variable Xhas the following… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 27T

See similar textbooks

Related questions

Question

A random variable \( X \) has the following probability function:

\[
\begin{array}{|c|c|c|c|c|}
\hline
x & 1 & 2 & 3 & 4 \\
\hline
p(x) & 0.12 & 0.25 & 0.20 & 0.43 \\
\hline
\end{array}
\]

**Task:** Find \( P(X = 1 \text{ or } X = 2) \). Round your answer to two decimal places.

- **Solution Box:** [User Input]

- **Resources:**
- eTextbook and Media

- **Options:**
- Save for Later

This table provides the probability distribution of the random variable \( X \), where specific values of \( X \) (1, 2, 3, 4) are associated with their corresponding probabilities (0.12, 0.25, 0.20, 0.43). The task is to calculate the combined probability of \( X \) being either 1 or 2.

Expert Solution

Step 1: Distribution of x

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

The spinner is spun one fime and a fair coin is tossed. Find the probabilities. P(R) = P(T) = %3D Yellow Red P(B U T)= P(G^) = Blue Green Sample Space: P(G N H)= P(Y U H)C = P(BC)= P(G NT)=
The spinner is spun one time. Find the probabilities. P(A) = P(C) = %3D A A E P(BUC)= P(B©) = Sample Space: P(B U A)= P(B U A)C = %3D P(D^)= P(AN C)= Page B.
Explain Functions of Normally and Log-normally Distributed Random Variables
Suppose that f(x)=k/(4^x), x=1,2,3,... is the probability function for a random variable X. Find the value of 1/k.
Consider the following joint distribution of X and Y X\Y -4 2 7 Sum 1/8 1/4 1/4 1/8 1/8 1/4 1 5 1/8 1/2 Sum 3/8 3/8 1 Find: 1. Е(X) 2. E(Y) 3. ÇoylXY 4. Ох, бу 5. p(X,Y)
If X and Y are independent random variables following the same discrete distribution. How to prove E(X+Y)E(X-Y) = E(X^2) - E(Y^2). Or, is this not possible?
The probability of an event depends on the random variable X and can be expressed by the following formula: P(^|x) = {0 1-e for x>0, for x 0). Find the total probability of the event A if X is a normally distributed random variable with expectation & and variance o
The mean of the time it takes for a product to arrive from China is 60 days and the standard deviation is 10 days. What is the probability that if 2 products are ordered from China, each of them will take 70 or more days to arrive. Assume that the arrival time of these 2 products are independent.
I have a probability distribution consisting of (x, p(x)): (-3, 0.1), (-2, 0.2), (-1, 0.3), (0, 0.05). The probabilities obviously do not sum to 1. How do I find <x> (average), <x2> (the second moment), <sigmax2> (the variance)?
Suppose that f(x)=2/(3^x), x=1,2,3,... is the probability function for a random variable X. Find P(X>3). Use 4 decimal places.
Suppose a random variable X has range {−3, −1, 1, 2}. Its proba- bility distribution (probability mass function) is given by P (X = −3) = 0.25 P (X = −1) = 0.25 P (X = 1) = 0.45 P (X = 2) = 0.05 a) Find E(X). b) Find E(X^2). b) Find V (X). b) Find V (X^2).
Two boxes each contain three cards. The first box contains cards labelled 1,3 and 5; the second box contains cards labelled 2,6 and 8. In a game, a player draws one card at random from each box and his score ,is the sum of the numbers on the two cards(i) Obtain the probability distribution for the random variable X(ii) Calculate E[X ], E[X^2] and variance of X(iii) Calculate the median and mode of X

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS