Answer:
Step-by-step explanation:
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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
Answer:
f(-2) = 0
Step-by-step explanation:
Given that:
f(x) = bx^2 + 32
f(2) = b(2)^2 + 32
f(2) = 4b + 32
f(2) = 4b = -32
f(2) = b = -32/4
f(2) = b = -8
Thus;
f(-2) = -8(-2)^2 + 32
f(-2) = -8(4) + 32
f(-2) = -32 + 32
f(-2) = 0