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
"Minute" is a unit of time, whereas "mile" is a unit of length or distance.
They have different physical dimensions, they measure different quantities,
and they can't be converted one to the other.
If distance could be converted to time, then it would be possible for you ...
or a more mathematically capable acquaintance ... to calculate how many
minutes long your dog's tail is.
Answer:
x = -9, y = 6.
Step-by-step explanation:
-x + y = 15
-5x - 3y = 27
From the first equation:
y = x + 15.
Substituting for y in second equation:
-5x - 3(x + 15) = 27
-8x - 45 = 27
-8x = 72
x = -9.
Now plug x = -9 into equation 1
-(-9) + y = 15
y = 15 -9 = 6.
Answer:
4x =16
Step-by-step explanation:
Hope this helps :)
(X+3)(x)(x-4)
Hope that helps :)
