an unbiased coin is tossed 20 times. 6. find the probability that the coin lands heads exactly 11 times. a. 0.1602 b. 0.5731 c. 0.2941 d. 0.1527 e. 0.6374 7. find the probability that the coin lands tails at most 17 times. a. 0.0002 b. 0.8748 c. 0.7812 d. 0.0176 e. 0.9998 8. find the probability that the coin lands heads at most 3 times. a. 0.0004 b. 0.9963 c. 0.9556 d. 0.8751 e. 0.0013

Respuesta :

Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.

Given:

an unbiased coin is tossed 20 times.

The probability that the coin lands heads exactly 11 times:

P = n(E)/n(S)

n(S) = 2^tosses

= 2^20

= 1048576

n(E) = C(20,11)

= 20!/11!(20-11)!

= 20!/11!*9!

= 167960

Probability P = 167960/1048576

= 0.16017 ≈ 0.1602

Therefore Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.

Learn more about the probability here:

https://brainly.com/question/11234923

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