The given graph represents the probability that two people in the same room share a birthday as a function of the number of people in the room. Call the function f. 1- 0,9- 0.8- Complete parts a and b. 0.7 a 06- E 0.5- 습0.4- 0.3- 0.2- 0.1- 0- a. Explain whyf has an inverse that is a function. b. Describe in practical terms the meanings of y f(x) f(0.25), f 1(0.4), f(0.8). 10 20 30 40 50 60 Number of Persons a. Choose the correct answer below. O A. A horizontal line intersects the graph of f in more than one point. O B. No horizontal line intersects the graph of f in more than one point. b. Choose the correct description for f (0.25) below. O A. f-(0.25), or approximately 15, represents the number of people who would have to be in the room so that the probability of two sharing a birthday would be 0.25 O B. f(0.25), or approximately 15, represents the number of people who would have to be in the room so that the probability of two not sharing a birthday would be Choose the correct description for f(0.4) below. O A. f-(0.4), or approximately 20, represents the number of people who would have to be in the room so that the probability of two not sharing a birthday would be 0.4 O B. f-(0.4), or approximately 20, represents the number of people who would have to be in the room so that the probability of two sharing a birthday would be 0.4.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The given graph represents the probability that two
people in the same room share a birthday as a function
of the number of people in the room. Call the function f.
Complete parts a and b.
1-
0.9-
0.8-
a. Explain why f has an inverse that is a function.
b. Describe in practical terms the meanings of
f(0.25), f-1(0.4), f (0.8).
0.7
A 0.6-
'음 0.5-
0.4-
台0.3-
0.2-
ly = f(x)
0.1-
0-
10 20
30
40 50 60
Number of Persons
a. Choose the correct answer below.
....
O A. A horizontal line intersects the graph of f in more than one point.
O B. No horizontal line intersects the graph of f in more than one point.
b. Choose the correct description for f (0.25) below.
O A. f-(0.25), or approximately 15, represents the number of people who would have to be in the room so that the probability of two sharing a birthday would be 0.25
O B. f-(0.25), or approximately 15, represents the number of people who would have to be in the room so that the probability of two not sharing a birthday would be
Choose the correct description for f(0.4) below.
O A. f'(0.4), or approximately 20, represents the number of people who would have to be in the room so that the probability of two not sharing a birthday would be 0.4
O B. f-1(0.4), or approximately 20, represents the number of people who would have to be in the room so that the probability of two sharing a birthday would be 0.4.
Choose the correct description for f (0.8) below.
O Time Remaining: 0
Probabili ty That Two People
Transcribed Image Text:The given graph represents the probability that two people in the same room share a birthday as a function of the number of people in the room. Call the function f. Complete parts a and b. 1- 0.9- 0.8- a. Explain why f has an inverse that is a function. b. Describe in practical terms the meanings of f(0.25), f-1(0.4), f (0.8). 0.7 A 0.6- '음 0.5- 0.4- 台0.3- 0.2- ly = f(x) 0.1- 0- 10 20 30 40 50 60 Number of Persons a. Choose the correct answer below. .... O A. A horizontal line intersects the graph of f in more than one point. O B. No horizontal line intersects the graph of f in more than one point. b. Choose the correct description for f (0.25) below. O A. f-(0.25), or approximately 15, represents the number of people who would have to be in the room so that the probability of two sharing a birthday would be 0.25 O B. f-(0.25), or approximately 15, represents the number of people who would have to be in the room so that the probability of two not sharing a birthday would be Choose the correct description for f(0.4) below. O A. f'(0.4), or approximately 20, represents the number of people who would have to be in the room so that the probability of two not sharing a birthday would be 0.4 O B. f-1(0.4), or approximately 20, represents the number of people who would have to be in the room so that the probability of two sharing a birthday would be 0.4. Choose the correct description for f (0.8) below. O Time Remaining: 0 Probabili ty That Two People
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