The answer is 5/6, 4/5, and 3/12. All you needed to do was change the fraction into decimals.
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
The possible values that a probability can have ranges from 0 to 1 inclusive.
It is 10% higher than the theoretical probability.Thats the answer because the theoretical odds are 50-50% (75 heads and 75 tails). 10% of 75 is 15, so 75+15=90, which means that it got a 10% higher than the theoretical probability.
Answer:
3Ax-6x = 15
3x(A-2)=15
If A were 2, the left side of the equation would be 0 and it wouldn't equal 15 no matter what the value of x is. So A is 2
