a. Determine the probability distribution of the random variable Y. y 4 5 6 7 P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 6, a value The event that Y takes on the value 6 can be represented as The event that Y takes on a value less than 6 can be represented as The event that Y takes on a value of at least 6 can be represented as c. Find P(Y = 6), P(Y<6), and P(Y>6). P(Y = 6) = (Type an integer or a decimal. Do not round.) P(Y < 6) = (Type an integer or a decimal. Do not round.)
a. Determine the probability distribution of the random variable Y. y 4 5 6 7 P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 6, a value The event that Y takes on the value 6 can be represented as The event that Y takes on a value less than 6 can be represented as The event that Y takes on a value of at least 6 can be represented as c. Find P(Y = 6), P(Y<6), and P(Y>6). P(Y = 6) = (Type an integer or a decimal. Do not round.) P(Y < 6) = (Type an integer or a decimal. Do not round.)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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Transcribed Image Text:A variable y of a finite population has the frequency distribution
shown in the table. Suppose a member is selected at random
from the population and let Y denote the value of the variable y
for the member obtained. Complete parts (a) through (d) below.
y
4
5 6 7
1
1
13 5
a. Determine the probability distribution of the random variable Y.
4
6.
7
y
P(Y = y)
(Type integers or decimals. Do not round.)
b. Use random-variable notation to describe the events that Y takes on the value 6, a value less than 6, and a value of at least 6.
The event that Y takes on the value 6 can be represented as
The event that Y takes on a value less than 6 can be represented as
The event that Y takes on a value of at least 6 can be represented as
c. Find P(Y = 6), P(Y < 6), and P(Y > 6).
P(Y = 6) =
(Type an integer or a decimal. Do not round.)
P(Y<6) =
(Type an integer or a decimal. Do not round.)
P(Y 2 6) =
(Type an integer or a decimal. Do not round.)
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