An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of “heads” (h) and “tails” (t) which we write hth, ttt, etc. for each outcome let R be the random variable counting the number of...

An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of “heads” (h) and “tails” (t) which we write hth, ttt, etc. for each outcome let R be the random variable counting the number of heads in each outcome. For example, if the outcome is hhh, then R (hhh)=3. Suppose that the random variable X is defined in terms of R as follows: X= 2R-2R^2-3. The values of X are given in the table below.


Extracted text: thh ttt hth hht htt tth hhh tht Outcome Value of X-7-3 -7 -7 -3 -3-15 -3