Suppose three coins are tossed. Let Y be the random variable representing the number of heads that occur. Find the probability of each of the values of the random variable Y completele the table below
Let's denote "H" - heads, "T" - tails.
There are "2^3=8" possible outcomes
"HTT, THT, TTH, TTT\\}"
The possible values of the random variable "Y" are "0, 1, 2, 3."
"\\def\\arraystretch{1.5}\n \\begin{array}{c:c}\n Possible \\ Outcomes & Y \\\\ \\hline\n HHH & 3\\\\\n \\hdashline\n HHT & 2 \\\\\n \\hdashline\n HTH & 2 \\\\\n \\hdashline\n THH & 2 \\\\\n \\hdashline\n HTT & 1 \\\\\n \\hdashline\n THT & 1 \\\\\n \\hdashline\n TTH & 1 \\\\\n \\hdashline\n TTT & 0 \\\\\n \\hdashline\n \n\\end{array}"We will assume that the probability of getting heads and tails is the same:
Construct the probability distribution of the random variable
or
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