All marbles together are 24 marbles. 14 of those are yellow marbles. 24 subtract 14 is 10. the probability of the marble not being yellow is 10/24
Answer:
A Type I error would occur if there was no evidence of an improvement on the national exam but there really was improvement.
Step-by-step explanation:
A type 1 error simply occurs when we incorrectly reject a true null hypothesis. In the scenario above, An experiment was conducted in other it know if there is sufficient evidence to support a claim that a new teaching method developed improves students score. If this claim is actually true in the real sense. However, after conducting a statistical test, we conuded that there was no sufficient evidence to support her claim of improvement using the new method, hence, the claim was rejected. By rejecting the claim, a true null has been rejected. Hence, a type 1 error has been committed.
Answer: Mean = 7.8
Median = 9
Mode = 2,9
Step-by-step explanation: <u>Mean</u> is the average value of a data set. Mean from a frequency table is calculated as:

E(X) = 7.8
Mean for the given frequency distribtuion is 7.8.
<u>Median</u> is the central term of a set of numbers. Median in a frequency table is calculated as:
1) Find total number, n:
n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46
2) Find position, using: 
= 23.5
Median is in the 23.5th position.
3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9
Median for this frequency distribution is 9.
<u>Mode</u> is the number or value associated with the highest frequency.
In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.
Mode for this distribution is 2 and 9.
Answer:
5,4,6,-7
Step-by-step explanation:
The y's are range
Answer:
1/2
Step-by-step explanation:
if you look at a unit circle, sin(\pi/6) is
so cos of (\pi/6/2) would be \pi/3, and cos of (\pi/3) is 1/2