A student is selected at random to assist in a demonstration. a) What is the probability that the student selected is a female junior P (FJ)? b) What is the probability that the student selected is a male given they are a senior P (MIS)? 3) If P(A)=0.4, P(B)=0.6, and P(A and B)=0.24, what conclusion can you make about A and B? Explain your reason. (1) P(A|B)=0.6 (2) A and B are independent events (3) A and B are not independent events (4) No conclusion is possible Regents Questions of Independence 1) Given events A and B, such that P(A) = 0.6, P(B) = 0.5, and P(A U B) = 0.8, determine whether A and B are independent or dependent. 2) The results of a poll of 200 students are shown in the table to the right. For this group of students, do these data suggest that gender and preferred music styles are independent of each other? Justify your answer. Preferred Music Style Techno Rap Country Female 54 25 27 Male 36 40 18

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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A student is selected at random to assist in a demonstration.
a) What is the probability that the student selected is a female junior P (FJ)?
b) What is the probability that the student selected is a male given they are a senior P (MIS)?
3) If P(A)=0.4, P(B)=0.6, and P(A and B)=0.24, what conclusion can you make about A and B?
Explain your reason.
(1) P(A|B)=0.6
(2) A and B are independent events
(3) A and B are not independent events
(4) No conclusion is possible
Transcribed Image Text:A student is selected at random to assist in a demonstration. a) What is the probability that the student selected is a female junior P (FJ)? b) What is the probability that the student selected is a male given they are a senior P (MIS)? 3) If P(A)=0.4, P(B)=0.6, and P(A and B)=0.24, what conclusion can you make about A and B? Explain your reason. (1) P(A|B)=0.6 (2) A and B are independent events (3) A and B are not independent events (4) No conclusion is possible
Regents Questions of Independence
1) Given events A and B, such that P(A) = 0.6, P(B) = 0.5, and P(A U B) = 0.8, determine
whether A and B are independent or dependent.
2) The results of a poll of 200 students are shown in the
table to the right. For this group of students, do these
data suggest that gender and preferred music styles are
independent of each other? Justify your answer.
Preferred Music Style
Techno
Rap Country
Female
54
25
27
Male
36
40
18
Transcribed Image Text:Regents Questions of Independence 1) Given events A and B, such that P(A) = 0.6, P(B) = 0.5, and P(A U B) = 0.8, determine whether A and B are independent or dependent. 2) The results of a poll of 200 students are shown in the table to the right. For this group of students, do these data suggest that gender and preferred music styles are independent of each other? Justify your answer. Preferred Music Style Techno Rap Country Female 54 25 27 Male 36 40 18
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