It is 9:00 p.m. The time until Joe receives his next text message has an exponential distribution

Question:

It is 9:00 p.m. The time until Joe receives his next text message has an exponential distribution with mean 5 minutes.
(a) Find the probability that he will not receive a text in the next 10 minutes.
(b) Find the probability that the next text arrives between 9:07 and 9:10 p.m.
(c) Find the probability that a text arrives before 9:03 p.m.
(d) A text has not arrived for 5 minutes. Find the probability that none will arrive for 7 minutes.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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