Answer:
69.12
Step-by-step explanation:
Answer:
X 0 1 2 3
P(X) 0.27 0.51 0.17 0.05

And replacing we got:

Step-by-step explanation:
Let X the random variable that represent "the number of buckets of popcorn purchased by patrons during one night at the movies"
And we have the following distribution for X
X 0 1 2 3
P(X) 0.27 0.51 0.17 0.05
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
For this case we can calculate the expected value with the following formula:

And replacing we got:

Answer:
I agree with both of them
Step-by-step explanation:
A dozen is 12 muffins. Therefore, you pay $3.00 for 12 muffins.
We know that you pay $3.00 for 12 muffins we need to find out how much EACH muffin cost. For that we need to divide $3.00 by 12 which is 0.25.
Now we need to know how much it will cost us for 16 muffins. We use our equation 16*0.25 which is 4. Elena said she will pay 4 so she is right.
Andre said he will buy 8 muffins so we use our equation again 8*0.25 which is 2. He said he will pay 2 so he is right.
Inductive reasoning works from the root and extends outwards. That is, it starts from the conclusion, then makes premises out of this conclusion. This is opposite to deductive reasoning. The process works from the outside down to the root cause. So, you lay out all the premises first, then deduce the conclusion.