Question

Each of the members of a 3 -judge panel independently makes a correct decision with probability 0.8 . a. If the panel's decision is made by majority rule, what is the probability that the panel makes the correct decision? b. Given that 2 of the judges agreed, what is the probability that the panel made the correct decision? b. Given that 2 of the judges agreed,what is the probability that the panel made the correct decision?

Name: each of the members of a 3 judge panel independently makes a correct decision with probability 08 a if the panels decision is made by majority rule what is the probability that the panel mak 40619
Uploaded: 2023-11-27T04:38:15-08:00
Duration: 1 min 48 s
Channel: Hoan Nguyen
Description: each of the members of a 3 judge panel independently makes a correct decision with probability 08 a if the panels decision is made by majority rule what is the probability that the panel mak 40619

          Each of the members of a 3 -judge panel independently makes a correct decision with probability 0.8 .
a. If the panel's decision is made by majority rule, what is the probability that the panel makes the correct decision?
b. Given that 2 of the judges agreed, what is the probability that the panel made the correct decision?
b. Given that 2 of the judges agreed,what is the probability that the panel made the correct decision?

each of the members of a 3 judge panel independently makes a correct decision with probability 08 a if the panels decision is made by majority rule what is the probability that the panel mak 40619

Added by Isaac B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Hoan Nguyen

11/27/2023

Step 1

8 * 0.8 * 0.8 = 0.512 - 2 judges make the correct decision and 1 judge makes the incorrect decision: 0.8 * 0.8 * 0.2 + 0.8 * 0.2 * 0.8 + 0.2 * 0.8 * 0.8 = 0.384 - 1 judge makes the correct decision and 2 judges make the incorrect decision: 0.8 * 0.2 * 0.2 + 0.2 * Show more…

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Each of the members of a 3 -judge panel independently makes a correct decision with probability 0.8 . a. If the panel's decision is made by majority rule, what is the probability that the panel makes the correct decision? b. Given that 2 of the judges agreed, what is the probability that the panel made the correct decision? b. Given that 2 of the judges agreed,what is the probability that the panel made the correct decision?