Question 3 (7 points) 3. Let Y = the number of siblings for a student at a local high school. Suppose we choose someone from the school at random. The probability
distribution of Y is as follows.
Y
1
2
3
4
5+
0
0.02
Probability
0.25
0.35
0.20
0.10
0.08
(a) Is Y a discrete or continuous? Explain.
(b) Is this a valid probability distribution? Explain.
(c) Create a histogram for the probability distribution and describe its shape.
(d) Find the probability that the randomly selected student has at least one sibling.
(e) Describe in words what P[Y>2) means and find the probability.
(1) Calculate the mean of Y. Interpret this in context
(g) The standard deviation is 1.236. Interpret this in context.
BI U EES s T