a. Suppose that a fair coin is tossed 15 times. If 10 heads are
observed, determine an expression /
equation for the probability that 7 heads occurred in the first 9
tosses.
b. Now, generalize your result from part a. Now suppose that a fair
coin is to be tossed n times. If x
heads are observed in the n tosses, derive an expression for the
probability that there were y heads
observed in the first m tosses. Note the following restrictions: y
≤ x, and m ≤ n. [2]
c. Identify the probability distribution for the random variable Y,
where Y represents the number of
heads observed in the first m tosses, given that there were x heads
observed in a total of n tosses. Be sure
to state the range for the random variable Y. [4]
d. Does your result in part c. require that the coin be fair?
Explain / justify your answer. [2]
a. Suppose that a fair coin is tossed 15 times. If 10 heads are observed, determine...
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