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
98-70 is 28 meaning that the range is 28
Answer:
Step-by-step explanation:
x=unknown number
simplify the fraction so... -7/2
To find the mode you need to put all the numbers given in order, then count them and decide which number occurs the most.
Given the number you have here, we're going to put them in order, like so,
78, 78, 83, 85, 89, 91, 95, 98 (they were in order already)
Now we see which number occurs the most.
The number would be 78
~Hope this helped!
