Lemma
EasyContinuous distributions
OpenStax, Statistics §5.3 The Exponential Distribution (Optional) · Example 10 · Probability · Continuous distributions

The Exponential Distribution (Optional) · Example 10

(a) Find the average time between two successive calls.
(b) Find the probability that after a call is received, the next call occurs in less than 10 seconds.
(c) Find the probability that exactly five calls occur within a minute.
(d) Find the probability that fewer than five calls occur within a minute.
(e) Find the probability that more than 40 calls occur in an eight-minute period.

Its source prints no answer for this problem, so there's nothing to check against.

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OpenStax, Statistics · §5.3 The Exponential Distribution (Optional) · Example 10

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