Probability- Gravner- 80

Question

After your complaint about their service, a representative of an insurance company promised to call you "between $7$ and $9$ this evening." Assume that this means that the time $T$ of the call is uniformly distributed in the specified interval.

(a) Compute the probability that the call arrives between $8.30$ and $8.20$.

Answer 1

Time $T$ of the call is uniformly distributed in interval of $120$ minutes. $(7\text{PM} - 9\text{PM} )$

Probability that call arrives between $8.30$ and $8.20$ = $\large \frac{10}{120} = 0.08333 $