For mutually exclusive eventsR1,R2,andR3,we haveP(R1)=0.05, P(R2)=0.4,andP(R3)=0.55.Also,PQ | R1=0.5,PQ | R2=0.6,andPQ | R3=0.8.FindP (R1 | Q) For mutually exclusive events R,, R2, and Rg, we have P(R,) = 0.05, P(R,) = 0.4, and P(R3) = 0.55. Also, P (Q| R,) = 0.5, P (Q| R2) = 0.6, and P (Q| R3) = 0.8. Find P (R,IQ).

Answered: For mutually exclusive events R1, R2,…

For mutually exclusive events R1, R2, and R3, we have P(R1)=0.05, P(R2)=0.4, and P(R3)=0.55. Also, PQ | R1=0.5, PQ | R2=0.6, and PQ | R3=0.8. Find P (R1 | Q)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 30E

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Question

100%

For mutually exclusive events

R1,

R2,

and

R3,

we have

P(R1)=0.05,

P(R2)=0.4,

and

P(R3)=0.55.

Also,

PQ | R1=0.5,

PQ | R2=0.6,

and

PQ | R3=0.8.

Find

P (R1 | Q)

Expert Solution

Step 1

Two events A and B are given.

If two events A and B are said to be mutually exclusive events, then P(A ∩ B) = 0.

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