Question

A small ferry runs every half hour from one side of a large river to the other. The probability distribution for the random

variable Y = money collected (in dollars) on a randomly selected ferry trip is shown.

Answer 1

The event "at least $20 is collected" can be expressed in terms of Y as Y ≥ 20.

Here's the reasoning:

Y represents the money collected on a ferry trip.

The event "at least $20 is collected" means that the money collected is equal to or greater than $20.

Therefore, the event translates to "Y is greater than or equal to 20," which is represented by Y ≥ 20.

Now, let's calculate the probability of this event:

P(Y ≥ 20) = sum of probabilities of Y = 20 and Y > 20

P(Y ≥ 20) = 0.27 + 0.42

P(Y ≥ 20) = 0.69

Therefore, the probability of collecting at least $20 on a randomly selected ferry trip is 0.69.