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:
-7.2
Step-by-step explanation:
-4(0.3)-6
-1.2-6
-7.2
Answer: Option (3)
Step-by-step explanation:
The slope of the given line is

Thus, the answer must be Option (3)
Answer:
The 2 is in the Hundred Thousands
The 3 is in Ten Thousands
The 4 is in Thousands
The 0 is in the Hundreds
The 7 is in the Tens
And the 5 is in the ones :)
Step-by-step explanation: