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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 :-
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 =
Hence, the expected value of the water depth is 4.5 m.
The attached graph represents a histogram that has a range of 55
<h3>How to create the histogram?</h3>The range is given as:
Range = 55
The range is calculated as:
Range = Maximum - Minimum
So, we have:
Maximum - Minimum = 55
Rewrite as:
Maximum = Minimum + 55
Let the minimum be 10.
So, we have:
Maximum = 10 + 55
Evaluate
Maximum = 65
The following dataset can be used to create the histogram
Score Frequency
10 2
15 5
45 3
65 1
This is so because it has a range of 55
See attachment for the histogram
Read more about histogram at:
#SPJ1
