The correct solution is 75.
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: 289 is a semi-prime number that is created by doing 17 times 17. 17 is a prime number though. hope this helps.
Step-by-step explanation:
289
17 17
Answer:
No
Step-by-step explanation:
If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.
Calculate the ratio of corresponding sides.
= 4
= 4
≠ 4
Thus the sides are not the corresponding sides of similar triangles.
Answer:
x= 24
Step-by-step explanation:
5x=20*6
x=120/5
x=24
Hope this helps! Plz mark as brainliest! :)