Answer: The answer is D:)
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
It equals to 65 for the exact answer
<u>Answer:</u>
<u>y+1=-2(x-5)</u> - Point Slope Form
<u>y=-2x+9</u> - Slope Intercept Form
<u></u>
Step-by-step explanation:
We will be using point-slope formula, as attached in a picture below.
1) Plug in the slope -2 as "m" in point slope form, along with the two points, (5, -1)
<u>y+1=-2(x-5)</u>
2) Next, if you want to put the line into slope-intercept form, you will need to distribute -2 to x and -5:
y+1=-2x+10
3) Now, subtract 1 from both sides:
<u>y=-2x+9</u>