A city Law-enforcement official has stated that 20% of the items sold by a pawn shops within the city have been stolen. Ralph has just purchased 4 items from one of the city’s pawn shops. Assuming that the official is correct, and for x= the number of Ralph’s purchases that have been stolen, determine the following
a. P(x=0)
b. P(2≤ x)
c. P(1≤ x≤ 3)
d. P(x≤ 2)
Determine the (a) Mean , (b) Variance and (c) Standard deviation of the following discrete probability distribution
x 0 1 2
P(x) 0.60 0.30 0.10