Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
<span>We know that
there is no universal acceptance meaning of a percentile. When someone told you
that you are in the 80th percentile, the meaning of that is you
have achieved the lowest score that is greater than 80 percent of the score. It is calculated by using the formula <span>R = P/100 x (N + 1)</span></span>
Answer:
B
Step-by-step explanation:
find the the surface area of one corner
First, make it into slope intercept form. Subtract x form both sides
x (-x) - y = 5 (-x)
-y = -x + 5
Isolate the y. Divide -1 from both sides
(-y)/-1 = (-x + 5)/-1
y = x - 5
The slope in the form: y = mx + b, is m, which is next to the x
In this case, the m is 1
You're slope is 1
hope this helps
