SOLUTION: A child is out trick-or-treating on Halloween. She goes to a house and is told to randomly pick two candies from a bucket with 5 Skittles and 3 M&Ms. Let the random variable Y be

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Question 977457: A child is out trick-or-treating on Halloween. She goes to a house and is told to randomly pick two candies from a bucket with 5 Skittles and 3 M&Ms. Let the random variable Y be the number of Skittles that she gets. Create the probability distribution for Y (rounding each to THREE decimal places).
What is the mean of the above distribution?


Answer:

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 4 possible outcomes from picking 2 candies.
SS
SM
MS
MM
and their probabilities are,
P%28SS%29=%285%2F8%29%284%2F7%29=5%2F14
P%28SM%29=%285%2F8%29%283%2F7%29=15%2F56
P%28MS%29=%283%2F8%29%285%2F7%29=15%2F56
P%28MM%29=%283%2F8%29%282%2F7%29=3%2F28
So then,
Y=0, P=3%2F28
Y=1, P=15%2F56%2B15%2F56=15%2F28
Y=2, P=5%2F14
.
.
.
mu=0%2A%283%2F28%29%2B1%2A%2815%2F28%29%2B2%2A3%2A%285%2F14%29
mu=5%2F4