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Nana76 [90]
3 years ago
15

A fair coin is continually flipped until heads appears for the 10th time. Let X denote the number of tails that occur. Compute t

he probability mass function and the expected value of X.
Mathematics
1 answer:
Marat540 [252]3 years ago
7 0

Answer:

P (X = i) = (i + 9 _ 9) (1/2)^(i + 10)

Step-by-step explanation:

Range of X = {0, 1, 2, 3......10}

P (X = i) = P (NB (10, ½) i = 10)

P (X = i) = (i + 9 _ 9) (1/2)^10 (1/2)^(1+10-10)

P (X = i) = (i + 9 _ 9) (1/2)^10 (1/2)^1

P (X = i) = (i + 9 _ 9) (1/2)^(i + 10)

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