A fair coin is tossed 6 times. Find the k value for which [Pr(x=k+1)]/[Pr(x=k)] is a max.
What is the random variable X? Number of heads? Number of tails? Either way:
X ~ Binomial(n = 6, p = 1/2). Substitute the appropriate expression for Pr(X = k+1) and Pr(X = k).
If you need more help, please show all your working and say where you get stuck.
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