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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 $8.20$.

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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 $8.20$ = $\large \frac{10}{120} = 0.08333$