1. There are 10 coins in a box, where 2 coins are of Type A with the probability of getting a head 0.4 and the other 8 coins are of Type B with the probability of getting a head 0.7. Suppose one selects a coin randomly from the box and then flip the selected coin 10 times. (a) What is the probability that he/she will get exactly 7 heads?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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1. There are 10 coins in a box, where 2 coins are of Type A with the probability of getting a
head 0.4 and the other 8 coins are of Type B with the probability of getting a head 0.7. Suppose
one selects a coin randomly from the box and then flip the selected coin 10 times.
(a) What is the probability that he/she will get exactly 7 heads?
Transcribed Image Text:1. There are 10 coins in a box, where 2 coins are of Type A with the probability of getting a head 0.4 and the other 8 coins are of Type B with the probability of getting a head 0.7. Suppose one selects a coin randomly from the box and then flip the selected coin 10 times. (a) What is the probability that he/she will get exactly 7 heads?
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