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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.)
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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