Chapter 5.4, Problem 123AYU

(a)

To determine

The number of minutes needed for the probability to reach $50\%$, where between $12:00\text{PM}$ and $1:00\text{PM}$, cars arrive at Citibank’s drive thru at the rate of $6$ cars per hour( $0.1$ car per minutes).The probability that a car will arrive within $t$ minutes of $12:00\text{PM}$ is $F\left(t\right)=1-e^{-0.1t}$.

(b)

To determine

The number of minutes needed for the probability to reach $80\%$, where between $12:00\text{PM}$ and $1:00\text{PM}$, cars arrive at Citibank’s drive thru at the rate of $6$ cars per hour( $0.1$ car per minutes).The probability that a car will arrive within $t$ minutes of $12:00\text{PM}$ is $F\left(t\right)=1-e^{-0.1t}$.

(c)

To determine

Whether the probability equals $100\%$ or not, where between $12:00\text{PM}$ and $1:00\text{PM}$, cars arrive at Citibank’s drive thru at the rate of $6$ cars per hour( $0.1$ car per minutes).The probability that a car will arrive within $t$ minutes of $12:00\text{PM}$ is $F\left(t\right)=1-e^{-0.1t}$