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:
I'm pretty sure it's D, sorry if I'm wrong
Step-by-step explanation:
It is not. In the decimal system each column to the right is valued at powers of ten starting at zero and increasing as you move to the left...in a four digit number...the columns are valued at...
10^3, 10^2, 10^1, 10^0 which corresponds to...
1000, 1000, 10, 1 in this case the first digit is equal to
5(1000)=5000 the value of the last digit is 5(1)=5
So the first 5 is 1000 times as great as the second 5...
Hope this helps!
Answer:
The number is 16
Step-by-step explanation:
3/4 n- (-16) = 28
3/4 n + 16 = 28
Subtract 16 from each side
3/4 n +16-16 = 28-16
3/4 n =12
Multiply by 4/3 to isolate n
4/3 * 3/4 n = 12 * 4/3
n = 16
