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Dominik [7]
3 years ago
7

The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous ran- dom variable with a cumulat

ive distribution function ???? F(x)= 0, x<0, 1−e−4x, x≥0. Find the probability of waiting fewer than 12 minutes between successive speeders.
Mathematics
1 answer:
enyata [817]3 years ago
4 0

Answer: 0.5507

Step-by-step explanation:

Given : The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable X with a cumulative distribution function

F(x)= \begin{cases}0,& x

Since , the waiting time is in hours , then we can write 12 minutes as \dfrac{12}{60} hour i.e.0.2 hour.

Now, the probability of waiting fewer than 12 minutes between successive speeders is given by :-

P(X

Hence, the required probability = 0.5507

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