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. У 2 3 4 5 2 2 9 7 a. Determine the probability distribution of the random variable Y У 4. 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 4, a value less than 4, and a value of at least 4. The event that Y takes on the value 4 can be represented as {} The event that Y takes on a value less than 4 can be represented as The event that Y takes on a value of at least 4 can be represented as c. Find P(Y = 4), P(Y < 4), and P(Y > 4). P(Y = 4)= (Type an integer or a decimal. Do not round.) P(Y<4) = (Type an integer or a decimal. Do not round) P(Y 2 4) =| (Type an integer or a decimal. Do not round) d. Construct a probability histogram for the random variable Y Choose the correct histogram below More Click to select your answer(s). search F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 PrtScr $ ) 4 8. { 2# m

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 23E
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I need help with part a-c 

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.
У
2 3 4 5
2 2 9 7
a. Determine the probability distribution of the random variable Y
У
4.
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 4, a value less than 4, and a value of at least 4.
The event that Y takes on the value 4 can be represented as {}
The event that Y takes on a value less than 4 can be represented as
The event that Y takes on a value of at least 4 can be represented as
c. Find P(Y = 4), P(Y < 4), and P(Y > 4).
P(Y = 4)=
(Type an integer or a decimal. Do not round.)
P(Y<4) =
(Type an integer or a decimal. Do not round)
P(Y 2 4) =|
(Type an integer or a decimal. Do not round)
d. Construct a probability histogram for the random variable Y Choose the correct histogram below
More
Click to select your answer(s).
search
F3
F4
F5
F6
F7
F8
F9
F10
F11
F12
PrtScr
$
)
4
8.
{
2# m
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. У 2 3 4 5 2 2 9 7 a. Determine the probability distribution of the random variable Y У 4. 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 4, a value less than 4, and a value of at least 4. The event that Y takes on the value 4 can be represented as {} The event that Y takes on a value less than 4 can be represented as The event that Y takes on a value of at least 4 can be represented as c. Find P(Y = 4), P(Y < 4), and P(Y > 4). P(Y = 4)= (Type an integer or a decimal. Do not round.) P(Y<4) = (Type an integer or a decimal. Do not round) P(Y 2 4) =| (Type an integer or a decimal. Do not round) d. Construct a probability histogram for the random variable Y Choose the correct histogram below More Click to select your answer(s). search F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 PrtScr $ ) 4 8. { 2# m
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