P(t)=(0.82)tA local department of transportation has determined that on a particular bus route, the probability of waiting more than t minutes for a bus at a certain intersection is modeled by the function shown. What is the best description of the meaning of 0.82 in this context?Choose 1 answer:(A) The probability that a person will have to wait more than 1 minute for a bus is 82%.(B) 82% of the buses are on the bus route at any given time.(C) 82% of the buses on the route are late.(D) The probability that a person will have to wait less than 1 minute for a bus is 82%.
Q. P(t)=(0.82)tA local department of transportation has determined that on a particular bus route, the probability of waiting more than t minutes for a bus at a certain intersection is modeled by the function shown. What is the best description of the meaning of 0.82 in this context?Choose 1 answer:(A) The probability that a person will have to wait more than 1 minute for a bus is 82%.(B) 82% of the buses are on the bus route at any given time.(C) 82% of the buses on the route are late.(D) The probability that a person will have to wait less than 1 minute for a bus is 82%.
Calculate Probability for t=1: The function P(t)=(0.82)t gives the probability of waiting more than t minutes for a bus. To understand what 0.82 means, we look at the case when t=1.
Interpret Probability Value: Calculate P(1) to see the probability of waiting more than 1 minute. P(1)=(0.82)1=0.82, which means there's an 82% chance of waiting more than 1 minute.
Describe 0.82 Probability: Since P(1) is 0.82, the best description of 0.82 is the probability that a person will have to wait more than 1 minute for a bus.
More problems from Evaluate two-variable equations: word problems