Professor Wright allow students in her Business Writing class an opportunity to complete up to 3 bonus assignments. It is up to students to decide how many of the bonus opportunities they will complete. The probability distribution for the number of bonus assignments completed by students is given in the table, where x is a random variable that represents the number of assignments completed by a randomly- selected student. X 0 P(x) 0.45 1 2 3 0.25 0.2 0.1 a. Compute the expected value of the distribution. Expected value = b. What is the probability that a randomly selected student completes fewer than 2 bonus assignments?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Professor Wright allow students in her Business Writing
class an opportunity to complete up to 3 bonus
assignments. It is up to students to decide how many of
the bonus opportunities they will complete.
The probability distribution for the number of bonus
assignments completed by students is given in the
table, where x is a random variable that represents the
number of assignments completed by a randomly-
selected student.
X
0
P(x) 0.45
1
2
3
0.25 0.2 0.1
a. Compute the expected value of the distribution.
Expected value
=
b. What is the probability that a randomly selected
student completes fewer than 2 bonus assignments?
Transcribed Image Text:Professor Wright allow students in her Business Writing class an opportunity to complete up to 3 bonus assignments. It is up to students to decide how many of the bonus opportunities they will complete. The probability distribution for the number of bonus assignments completed by students is given in the table, where x is a random variable that represents the number of assignments completed by a randomly- selected student. X 0 P(x) 0.45 1 2 3 0.25 0.2 0.1 a. Compute the expected value of the distribution. Expected value = b. What is the probability that a randomly selected student completes fewer than 2 bonus assignments?
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