Question

3. The probability distribution for the number of siblings (Y) for students in a statistics class...

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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