3. The probability distribution for the number of siblings (Y) for students in a statistics class is given by
y 0 1 2 3 4
p(y) 0.3 0.3 0.2 0.15 ?
a. Find the missing probability.
b. Find the mean of the distribution.
c. Find the variance of the distribution.
4. A fair die is rolled 120 times. Let Y represent the number of times a three comes up.
a. Find the P(Y =19). Do this one by hand using the appropriate formula.
b. Find P(19 <= Y <=21).
c. Give the mean and variance of Y.
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