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
<u>Alternate form:</u>
<u>u</u><u>=</u><u>76.48</u>
First make it that both denominators are the same.
Then add both numerators
Your final answer should be
Answer:
10.35 is the closest to the perimeter of the window.
Step-by-step explanation:
hope it helps
Answer:
u(12-v)
Step-by-step explanation:
12u and -uv both have a factor of <em>u </em>in common, so we can pull it out to give us the factored expression u(12-v).
<em>Note on factoring:</em>
<em>Remember, it's just using the distributive property in reverse! We can get our original expression back by distributing the u to the 12 and the -v.</em>
