A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 3 45 6 11 11 random f 7 a. Determine the probability distribution of the random variable Y. y 3 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 5, a value less than 5, and a value of at least 5. The event that Y takes on the value 5 can be represented as The event that Y takes on a value less than 5 can be represented as { }. The event that Y takes on a value of at least 5 can be represented as c. Find P(Y = 5), P(Y < 5), and P(Y > 5). P(Y = 5) = (Type an integer or a decimal. Do not round.) P(Y < 5) = (Type an integer or a decimal. Do not round.) P(Y 2 5) = (Type an integer or a decimal. Do not round.)

A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 3 45 6 11 11 random f 7 a. Determine the probability distribution of the random variable Y. y 3 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 5, a value less than 5, and a value of at least 5. The event that Y takes on the value 5 can be represented as The event that Y takes on a value less than 5 can be represented as { }. The event that Y takes on a value of at least 5 can be represented as c. Find P(Y = 5), P(Y < 5), and P(Y > 5). P(Y = 5) = (Type an integer or a decimal. Do not round.) P(Y < 5) = (Type an integer or a decimal. Do not round.) P(Y 2 5) = (Type an integer or a decimal. Do not round.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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
3 4
6.
f
1
1 11 7
a. Determine the probability distribution of the random variable Y.
3
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 5, a value less than 5, and a value of at least 5.
The event that Y takes on the value 5 can be represented as
The event that Y takes on a value less than 5 can be represented as
The event that Y takes on a value of at least 5 can be represented as { }.
c. Find P(Y = 5), P(Y< 5), and P(Y> 5).
%3D
P(Y = 5) =
(Type an integer or a decimal. Do not round.)
P(Y<5) =
(Type an integer or a decimal. Do not round.)
P(Y 2 5) =
(Type an integer or a decimal. Do not round.)
LO

d. Construct a probability histogram for the random variable Y. Choose the correct histogram below.
А.
В.
C.
D.
0.6¬
0.5-
0.4-
0.3-
0.2-
0.1-
0-
3 4 5 6
0.6-
0.5-
0.4-
0.3-
0.2-
à 0.1-
0-
3 4 5
0.6-
0.5-
0.4-
0.3-
0.2-
0.1-
0-
3 4 5 6
0.6-
0.5-
0.4-
0.3-
0.2-
0.1-
0-
3 4 5 6
Probability
Probability
Probability
Probability

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