Did you know?
Did you know that city law enforcement has stated that 20% of the items sold by a particular pawn shop within the city are stolen? Let's say John purchases 4 items from this pawn shop. We can use probability to determine certain outcomes:
a) P(x=0): This represents the probability that John purchases 0 items that have been stolen. To determine this, we need to calculate the probability of not purchasing a stolen item, which would be P(x=0) = 1 - P(x≥1) = 1 - P(x=1) - P(x=2) - P(x=3) - P(x=4).
b) P(2≤x): This represents the probability that John purchases at least 2 items that have been stolen. To determine this, we need to calculate the probability of purchasing 2, 3, or 4 stolen items, which would be P(2≤x) = P(x=2) + P(x=3) + P(x=4).
c) P(1<x<3): This represents the probability that John purchases between 1 and 3 items (exclusive) that have been stolen. To determine this, we need to calculate the probability of purchasing 1 or 2 stolen items, which would be P(1<x<3) = P(x=1) + P(x=2).
d) P(x<2): This represents the probability that John purchases less than 2 items that have been stolen. To determine this, we need to calculate the probability of purchasing 0 or 1 stolen items, which would be P(x<2) = P(x=0) + P(x=1).
By understanding these probabilities, we can gain insight into the likelihood of John purchasing stolen items from the city pawn shop based on the given information.
