Explanation:
Lets interpret Z with M trials. First we have M trials, each trial can be a success or not. The number of success is called N. Each trial that is a success becomes a trial, and if it is a success it becomes a success for Z. Thus, in order for a trial to be successful, it needs first to be successful for the random variable N (and it is with probability q), and given that, it should be a success among the N trials of the original definition of Z (with probability p).
This gives us that each trial has probability pq of being successful. Note that this probability is pq independently of the results of the other trials, because the results of the trials of both N and the original definition of Z are independent. This shows us that Z is the total amount of success within M independent trials of an experiment with pq probability of success in each one. Therefore, Z has Binomial distribution with parameters pq and M.
Turn 39% into a decimal
0.39
"of" means to multiply
so we get
0.39 * 72 = x
Answer:
Step-by-step explanation:
Greek students will represent p1 (proportion 1)
Non-Greek students will represent p2
If we were to conduct a hypothesis test for this data, we would use a test for the difference of 2 proportions. The hypothesis for this test would be as follows...
H0: p1 - p2 = 0
Ha: p1 - p2 > 0
The reason the alternate hypothesis is greater than 0 is because the question claims that the proportion of greek students (p1) is greater than the proportion of non-greek students (p2). So p2 is smaller than p1. We are subtracting a smaller number from a larger number. That will always result in a positive number.
Answer:
b
Step-by-step explanation:
the Highest common factor of 130,260,390 = 130
130 = 2⋅5⋅13
260 = 2⋅2⋅5⋅13
390 = 2⋅3⋅5⋅13
Common multipliers (130; 260; 390): 2, 5, 13
Now to find the highest Common factor you need to multiply the common factors
Answer: (130 ; 260 ; 390) = 2 ∙ 5 ∙ 13 = 130
