Answer:
a. 
.
b. 
Step-by-step explanation:
By the definition, the expected value of a random variable X with probability mass function p is given by 
where the sum runs over all the posible values of X. Given a function g, the random variable Y=g(X) is defined. Note that the function g induces a probability mass function P' given by P'(Y=k) = P(X=g^{-1}(k)) when the function g is bijective.
a. Note that for 1/3ln(2)+1/6ln(5) by choosing the function g(x) = ln(x) the expression coincides with E(g(x)), because if Y = g(x) then E(Y) = P'(Y=1)*ln(1)+P'(Y=2)*ln(2)+P'(Y=5)*ln(5) = P(X=1)*ln(1)+P(X=2)*ln(2)+P(X=5)*ln(5).
b. On the same fashion, the function g(x) = xe^{xt} fullfills the expression of E[g(X)]
Answer:
11.70
Step-by-step explanation:
d=√((16-5)^2+(14-10)^2)=11.7046999...
Answer:
Option D, 0.32 meters per second
Step-by-step explanation:
<u>Step 1: Find the unit rate at which Matt needs to swim</u>
Make an equation to represent the scenario.
<em>25m = 8</em>
<u>Step 2: Solve for m by dividing both sides by 25</u>
25m / 25 = 8 / 25
<em>m = 0.32</em>
<u>Step 3: Check</u>
To check, you can multiply the number of second, 25, by the meters per second to see if you get the total meters, 8.
0.32 * 25
<em>8</em>
So, the answer is correct :)
<u><em>0.32 means that Matt needs to swim 0.32 meters per second to qualify as a state swimmer.</em></u>
Answer: Option D, 0.32 meters per second
Answer:
41⁰
Step-by-step explanation:
180 - 98 = 82⁰
2x = 82⁰
x = 82/2
= 41⁰
