Question

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m. What is the expected value of the water depth

Answer 1

Answer: The expected value of the water depth is 4.5 m.

Step-by-step explanation:

Let x be a random variable which is uniformly distributed in interval [a,b] .

Then the mean of the distribution is ghiven by :-

$E(x)=\dfrac{a+b}{2}$

Given : While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.

Then, the expected value of the water depth = $\dfrac{2+7}{2}=\dfrac{9}{2}=4.5$

Hence, the expected value of the water depth is 4.5 m.