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
Answer: True
Think of a 3D box. It has 6 faces and the surface area is the total of all six individual rectangular faces. This idea applies to any polyhedron.
“Square five times a number” with “a number” being x is the same as saying:
5x²
“three more than the number” is the same as saying:
3 + x
Therefore the sentence “When you square five times a number, you get three more than the number.” is the same as:
5x² = 3 + x
Hope this helps, have a great day! :)
Answer:
sorry men this is not the answer
Step-by-step explanation
Answer:
Area = 96 square m
Step-by-step explanation:
