The probability distribution for a random variable x is given in the table Find the probability that X<=20
2 answers:
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Answer:
8, 7.92, 2.81
Step-by-step explanation:
For each Social Security recipient, there are only two possible outcomes. Either they are too young to vote, or they are not. The probability of a Social Security recipient is independent of any other Social Security recipient. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The variance of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem, we have that:
So
Mean:
The variance of the binomial distribution is:
The standard deviation of the binomial distribution is:
Formatted answer: 8, 7.92, 2.81