Checkpoint 3 Worked-out solution available at LarsonAppliedCalculus.com
Three coins are tossed (see Example 2). Graph the probability distribution, where the random variable represents the number of heads in each possible outcome.
To graph: The probability distribution, for an event in which three coins are tossed and a random variable represent the number of head in each outcome.
Given Information:
Three coins are tossed and a random variable is used to represents the number of heads in each outcome.
Graph:
Consider the provided information that three coins are tossed and a random variable is used to represents the number of heads in each outcome.
Let,
The possible outcomes are shown below when three coins are tossed.
outcome |
||
0 |
TTT |
1 |
1 |
HTT, THT, TTH |
3 |
2 |
HHT, HTH, THH |
3 |
3 |
HHH |
1 |
The sample space
So,
Since, probability of a random variable is given as below:
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