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:
An equation expresses the relation between variables. A relation between y and x can be drawn as a graph in the xy plane.
In order to do that, you want to "plug in" a value for x, and then get the result as a value for y. With an equation that expresses y in terms of x, you can do just that. For example, plug in the value x=3 in the equation y=2x+4 easily gives you y=10. You plot the point (3,10) and repeat for different x.
If y is not clearly expressed in terms of x, you get equations like: 2x + 4y + x/y = 0. You cannot plug in an x and calculate a y in an easy way.
Most of the time you'll be able to rewrite the equation in the right "pluggable" form. In fact, when you have an equation in this form, it maps one to one to a function f(x). y=2x+4 and f(x)=2x+4 is kind of the same thing. "f is a function of x" and "y is expressed in terms of x" are similar statements.
Answer:
Step-by-step explanation:
Start by doing a much simpler problem
One
i^0 = 1
i^1 = i
i^2 = i^2 = - 1
i^3 = i^3 = (-1) * i = -i
i^4 = i^4 = (i)^2 * i^2 = -1 * -1 = 1
So now you are ready to tackle the question you were given.
Two
Every 4th power of i repeats itself. You must get one of the four answers above.
So divide 5689 by 4. What do you get?
1422.25
What does that mean?
It means that you run through the cycle of four 1422 times. What does that mean?
1 * 1 * 1 * 1 * 1 * 1 * 1 * 1 ....................................*1
There are 1422 ones in that expression.
What about the 0.25? What about that?
That means that you have one i left over.
So the answer is i
Three
The simple question defines the pattern which will repeat itself over and over again. By knowing how the simple pattern works you can develop any power of i. For example
i^15622 =
3905.5
0.5 is the same as 2/4
i^2 = -1
i^15622 = - 1
Answer:
A) 0.005
B) 0.001
C)0.0495
Step-by-step explanation:
Let A be the event that an aircraft is present and let B be the event the radar registers its presence.. Thus;
P(A) = Probability that an aircraft is present
P(A') = Probability that an aircraft is not present
P(B) = Probability that the radar generates an alarm
P(B') = Probability that the radar doesn't generate an alarm
Thus from what we are given, we have;
P(A) = 0.05
P(A') = 0.95
P(B) = 0.99
P(B') = 0.01
P(B|A') = 0.1
A) Probability of a false alarm will be;
P(A' ∩ B) = P(A) × P(B|A')
P(A' ∩ B) = 0.05 × 0.1 = 0.005
B) probability of missed detection is;
0.1 × (1 - 0.99) = 0.001
C) probability that an aircraft is present given that the radar registers a presence will be;
P(A ∩ B) = P(A) × P(B)
P(A ∩ B) = 0.05 × 0.99
P(A ∩ B) = 0.0495
Answer:
pounds, ounces, tons
Step-by-step explanation:
