Ok, so:
For Part A, we have: P(Z|A)=P(Z and A)/P(A)
And if we replace, we got:
P(Z|A) = (0.15)/(0.25) and this is equal to 0.6.
For Part B, we have: P(A|Z)=P(Z and A)/P(Z)
P(A|Z) = (0.15)/(0.73) and this is equal to 0.205.
We know that
the volume one cube=(1/5)*(1/5)*(1/5)=(1/125) ft³
the volume of prism=1750*(1/125)=14 ft³
the answer is 14 ft³
The birth weight of elephants at the 85th percentile is 262.16 pounds
<h3>What is the standard deviation?</h3>
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
Given that:-
The average birth weight of elephants is 200 pounds
= 200
The deviation of 60 pounds.
= 60
The birth weight of elephants at the 85th percentile. z = 85%= 1.036
Now from the formula of z-score:-

Hence the birth weight of elephants at the 85th percentile is 262.16 pounds
To know more about standard deviation follow
brainly.com/question/475676
#SPJ1
Answer:


Step-by-step explanation:
We have two random variables X and Y.
and given that X=x, Y has uniform distribution (0,x)
From the definition of the uniform distribution we have the densities for each random variable given by:


And on this case we can find the joint density with the following formula:

And multiplying the densities we got this:

Now with the joint density we can find the expected value E(Y|x) with the following formula:

And replacing we got:
