Question

Show your work!!!

1.   Suppose you did an experiment of rolling a die 100 times, and you recorded each outcome. Then, you created the frequency and probability distribution table as Table 1.

                                                              Table 1

Outcome (x)	Frequency	Probability P(x)
1	13	0.13
2	18	0.18
3	12	0.12
4	17	0.17
5	20	0.20
6	20	0.20

Compute the probability of following events using Table 1, and show the answers as decimals such as 0.25. (4 points)

Hint: If Event D = {1, 3}, then, P (D) = P (1) + P (3) = 0.13 + 0.12 = 0.25

1. Event E = {2, 3}
   16. (E) =
2. Event T ={1,2,3, 4}
   16. (T) =
3. Event A ={1,2,3, 4,5,6}
   16. (A) =
4. Event B = {}

(B) =

Answer 1

a) P(E) = P(2) + P(3) = 0.18 + 0.12 = 0.3

Therefore P(E) = 0.3

b) P(T) = P(1) + P(2) + P(3) + P(4) = 0.13 + 0.18 + 0.12 + 0.17 = 0.6

Therefore P(T) = 0.6

c) P(A) = P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1

Therefore P(A) = 1

d) As B is empty, therefore P(B) = 0