**Find the expected value for the random variable.**Here is a table representing a discrete probability distribution:| \( x \) | 2 | 3 | 4 | 5 ||----------|-----|-----|-----|-----|| \( P(x) \) | 0.3 | 0.1 | 0.4 | 0.2 |To calculate the expected value \( E(X) \), use the formula:\[ E(X) = \sum [x_i \cdot P(x_i)] \]- \( E(X) = (2 \times 0.3) + (3 \times 0.1) + (4 \times 0.4) + (5 \times 0.2) \)- \( E(X) = 0.6 + 0.3 + 1.6 + 1.0 \)- \( E(X) = 3.5 \)**Answer Options:**- ○ 3.1- ○ 3.5- ○ 3.7- ○ 4.5The correct answer is 3.5.

Name: **Find the expected value for the random variable.**Here is a table r
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: **Find the expected value for the random variable.**Here is a table representing a discrete probability distribution:| \( x \) | 2 | 3 | 4 | 5 ||----------|-----|-----|-----|-----|| \( P(x) \) | 0.3 | 0.1 | 0.4 | 0.2 |To calculate the expec

The formula for mean is given by the formula μ=EX=∑xifxi.

Answered: Find the expected value for the random…

Math

Calculus

Find the expected value for the random variable. 2 3. 4 5 P(x)| 03 0.1 0.4 0.2 O 4.5 O 3.5 3.1 O 3.7

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Consider the endothermic reactions. Assume that independent reactions are conducted. What is the probability that the second reaction to result in a final temperature less than 272K is the tenth reaction? Let P(reaction < 272K) = 0.54. Let X be a negative binomial random variable. (Show solutions). Final Temperature Conditions Number of Reactions 266 K 48 271 K 60 274 K 92 O a. 0.0138 O b.0.0053 O c. 0.0005 O d. NONE
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. x P(x)0 0.0041 0.0132 0.0363 0.1154 0.2065 0.2386 0.2017 0.1168 0.0459 0.01310 0.013 The maximum value in this range is __ girls. (round to one decimal places as needed) The minimum value in this range is __ girls. (round to one decimal place as needed) Based on the result, is 1 girl in 10 births a significantly low number of girls? Explain. A. No, 1 girl is not a significantly low number of girls, because 1 girl is within the range of values that are not significant. B. Yes, 1 girl is a significantly low number of girls, because 1 girl is below the range of values that are not significant. C. Yes, 1 girl is a significantly low number of girls, because 1 girl is above the…
q22
X P(X) 0 0.4 7 0.4 9 0.2 Find the expected value of the above random variable.help me?
X 1 2 3. A physics professor wants to know what percent of physics majors will spend the next several years doing post-graduate research. He has the following probability distribution. 3 4 5 6 P(x) 0.35 0.20 0.15 0.10 0.05 x*P(x a. Define the random variable x. b. Define P(x), or the probability of x. c. Find the probability that a physics major will do post-graduate research for four years. P(x = 4) =_ d. Find the probability that a physics major will do post-graduate research for at most three years. P(x ≤ 3) =_ e. On average, how many years would you expect a physics major to spend doing post-graduate research?