The Bernoulli distribution is a distribution whose random variable can only take 0 or 1
- The value of E(x2) is p
- The value of V(x) is p(1 - p)
- The value of E(x79) is p
<h3>How to compute E(x2)</h3>
The distribution is given as:
p(0) = 1 - p
p(1) = p
The expected value of x2, E(x2) is calculated as:
So, we have:
Evaluate the exponents
Multiply
Add
Hence, the value of E(x2) is p
<h3>How to compute V(x)</h3>
This is calculated as:
Start by calculating E(x) using:
So, we have:
Recall that:
So, we have:
Factor out p
Hence, the value of V(x) is p(1 - p)
<h3>How to compute E(x79)</h3>
The expected value of x79, E(x79) is calculated as:
So, we have:
Evaluate the exponents
Multiply
Add
Hence, the value of E(x79) is p
Read more about probability distribution at:
brainly.com/question/15246027
The radius of a sphere is calculated through the equation,
V = 4πr³ / 3
where r is the radius. Substituting the radius given in the equation,
V = 4π x (3,760.4 miles)³ / 3 = 2.23 x 10^11 miles
Thus, the volume of the planet Venus is calculated to be 2.23 x 10^11 miles, approximately.
The quadratic formula is:
and
In this case, a = 2, b = -3, and c = -7
So, we can plug in the numbers to get:
and
Simplifying, we get:
and
You need to use a calculator to find what these would be in decimal form. The answer, rounded to the nearest tenth, is: x = 2.8, x = -1.3
4+5=9 divided by 3 is 3 times 4 is 12. so it's 12
hope this helps;)