24. Suppose the waiting time for a goal to be scored in World Cup matches is an exponential random variable with mean 10 minutes. (a) What is the probability that more than 20 minutes passes before the first goal in a match is scored? Do not round your answer (so don't use a calculator). (b) What is the probability that scoring the first goal in a match will be within one standard deviation from the mean waiting time? Do not round your answer (so don't use a calculator).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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24. Suppose the waiting time for a goal to be scored in World Cup matches is an exponential random variable
with mean 10 minutes.
(a) What is the probability that more than 20 minutes passes before the first goal in a match is scored?
Do not round your answer (so don't use a calculator).
I
(b) What is the probability that scoring the first goal in a match will be within one standard deviation
from the mean waiting time? Do not round your answer (so don't use a calculator).
Transcribed Image Text:24. Suppose the waiting time for a goal to be scored in World Cup matches is an exponential random variable with mean 10 minutes. (a) What is the probability that more than 20 minutes passes before the first goal in a match is scored? Do not round your answer (so don't use a calculator). I (b) What is the probability that scoring the first goal in a match will be within one standard deviation from the mean waiting time? Do not round your answer (so don't use a calculator).
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