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Find the mean and the standard deviation from the following probability distribution
µ = 2.0 sigma = 1.0
In Ohio's Pick 4 game, you pay $1 to select a sequence of four digits, such as 7709. If you buy only one ticket and win, your prize is $5,000 and your net gain is $4,999.​ If you buy 1 ticket, what is the probability of winning?
1 / 10,000 or 0.0001
In Ohio's Pick 4 game, you pay $1 to select a sequence of four digits, such as 7709. If you buy only one ticket and win, your prize is $5,000 and your net gain is $4,999.​ What is the expected value?
-50¢
What is the probability that at least 3 of the five flights arrive on time?
P(A) = 0.942
What does the probability of 0+ indicate?
This means that there is a very low probability of an event occurring. Though improbable, the event is not impossible.
Does the table describe a probability distribution?
Yes. The sum of all probabilities is equal to 1
If boys and girls are equally likely, groups of 400 births have a mean of 200 girls and a standard deviation of 10 girls. Is 185 girls in 400 births an unusually low number?
No. The value is within two standard deviations of the mean.
If boys and girls are equally likely, groups of 400 births have a mean of 200 girls and a standard deviation of 10 girls. Is 232 girls in 400 births an unusually high number?
Yes. The value given in higher than two standard deviations away from the mean.
There are 100 questions on a test with possible answers a-e and only one choice being correct for each question. What is the mean & S.D. of question a student could randomly answer correct on the test?
Mean: 20 Standard deviation = 4
Is a probability distribution defined if the only possible values of a random variable are 0, 1, 2, 3, and P(0) = P(1) = P(2) = P(3) = 0.25?
Yes. The sum of all probabilities is equal to 1. This is a uniform distribution


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