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The random variable X has probability distribution given in the table below:
X |
-1 |
0 |
1 |
2 |
3 |
P(X=x) |
b |
0.1 |
0.2 |
0.15 |
0.15 |
a. Find the value of b.
b. Find the Var (X)
c. E (2X-4)
d. Var (3-2X)
The random variable Y has probability function
P (Y=y) = 2𝑦−1
36
𝑦 = 1,2,3,4,5,6
a. Construct a table giving the probability distribution of Y.
b. P (2<Y≤5)
c. Show that Var (Y) =1.97
d. Find the probability that at least 2.
e. Find the probability that at least 1 but less than 5.
A survey from Teenage Research Unlimited found that 40% of teenage consumers receive their spending money from part-time jobs. If 5 teenagers are selected at random:
a. Find the probability that at least 3 of them will have part-time jobs.
b. Find the probability that no more than 4 will have part-time jobs.
c. Find the probability that less than 5 but greater than 3 will have part-time jobs.
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