Question

Asked Nov 2, 2019

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Today, the waves are crashing onto the beach every 5.8 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.8 seconds. Round to 4 decimal places where possible.

The probability that it will take longer than 1.96 seconds for the wave to crash onto the beach after the person arrives is P(*x* ≥≥ 1.96) =

Find the minimum for the upper quartile. seconds

Step 1

The probability density function (PDF) of the uniformly distributed random variable with parameters (*a*, *b*) is:

Step 2

**Computing the probability that longer than 1.96 seconds takes for the wave to crash onto the beach after the person arrives, P(X>1.96 seconds):**

Step 3

**The cumulative distribution function (CDF) of the uniform distribution:**

If *X* is a uniformly distributed random variable between consta...

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