Rework problem 1 in section 4.1 of your text, involving the flipping of a loaded coin, but assume that Pr[H] = 0.3. Also, assume
that the coin is flipped 4 times, and the random variable X is defined to be 3 times the number of heads minus 2 times the number of tails.. How many different values are possible for the random variable X?
As you must be knowing, the formula for x successes in n trials in a binomial distribution where p is the probability of a success in a single trial & q = 1 - p is the probability of failure in a single trial is
<span>P(x) = nCx*p^x*q^n-x </span>
<span>For this problem, what you have to do is to find </span> <span>x*P(x) for all values of x from 0 to 15, using </span> <span>p = 0.3 & q = 4/5 , i.e </span>
Well, since we know is a geometric sequence, we can always get the common ratio of it by simply dividing one value by the one behind it... so let's do so, with say hmm -32 and 8 -32/8 = -4 <-- our common ratio
