Answer:
a. 4P4 = 24
b. 10P2 = 90
c. 5P1 = 5
Step-by-step explanation:
permutation is the act of arranging the members of a set into a sequence or order( in permutation order is important)
Given a permutation nPr
nPr = n!/(n-r)!
Substituting for each of the cases below we have;
a)4P4 = 4!/(4-4)! = 4! = 24
b) 10P2 = 10!/(10-2)! = 10!/8! = 10×9 = 90
c) 5P1 = 5!/(5-1)! = 5!/4! = 5
B to A. it passes through E
Answer:
Range, Maximum, and y-intercept
Step-by-step explanation:
Range is the y-values of the function. Each of these functions has a range of (-inf, 10].
The maximum is the largest y-value that is part of the range, which is 10 for both functions.
y-intercept is where the function crosses the y-axis which is 10 for both functions.
Answer:
The variable x will follow a geometric distribution, with mean = 3 and standard deviation = 3.46.
The values for P(x) are:
Step-by-step explanation:
This kind of random variables can be descripted by the geometrical distribution.
This distribution shows the probability of having an amount of "failures" before the first "success" (or the other way).
Let x be the number of trustworthy FBI agents tested until someone fails the test. The probability of failing a test is p=0.25
Then, the probability of x is:
The values for the first x are:
This probability will be descending as the the variable x increases.
The mean is:
The standard deviation is: