When coin 1 is flipped, it lands on heads with probability; when coin 2 is flipped it lands on heads with probability (a) If coin 1 is flipped 10 times, find the probability that it lands on heads at least 8 times. (b) If one of the coins is randomly selected and flipped 11 times, what is the probability that it lands on heads exactly 8 times? (c) In part (b), given that the first of these 11 flips lands on heads, find the conditional probability that exactly 8 of the 11 flips land on heads.
When coin 1 is flipped, it lands on heads with probability; when coin 2 is flipped it lands on heads with probability (a) If coin 1 is flipped 10 times, find the probability that it lands on heads at least 8 times. (b) If one of the coins is randomly selected and flipped 11 times, what is the probability that it lands on heads exactly 8 times? (c) In part (b), given that the first of these 11 flips lands on heads, find the conditional probability that exactly 8 of the 11 flips land on heads.
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Transcribed Image Text:Problem #6: When coin 1 is flipped, it lands on heads with probability when coin 2 is flipped it lands on heads with
probability.
(a) If coin 1 is flipped 10 times, find the probability that it lands on heads at least 8 times.
(b) If one of the coins is randomly selected and flipped 11 times, what is the probability that it lands on heads
exactly 8 times?
(c) In part (b), given that the first of these 11 flips lands on heads, find the conditional probability that exactly 8
of the 11 flips land on heads.
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