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
Step-by-step explanation:
after you draw a unit circle you will find the answer
cosec(3pi)=1/sin(3pi)
sin3pi=sinpi=0
so cosec3pi=1/0 which is undefined.
Answer: Aly , Marvin, Hank
Step-by-step explanation:
Aly has the lowest with 20, Marvin has 30, and hank has 50. it says least to mostly likely to win
37.5 degrees
we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.
Answer:
7x - 5 = 11
Step-by-step explanation:
To solve for x, substitute y = -5 into the equation 7x + y = 11.
This becomes 7x + (-5) = 11 or 7x - 5 = 11.
