Answer: d. np(1 - p).
Step-by-step explanation:
Let x be any binomial variable which represents the number of success such that
, where n is the sample size or the total number of trials and p is the probability of getting success in each trial .
Then, the mean E(x) and the variance Var(x) for the binomial distribution is given by equation :


where n is the sample size or the total number of trials and p is the probability of getting success in each trial .
Therefore , the correct option is option d. np(1 - p) .
Answer:
The Commutative Property
Step-by-step explanation:
1. B A C
Reason:
A: 4
is 12.6
B: the Square root of 18.7 is 4.32
2. a
Reason: the square root of 80 is 8.9, thus closest to 9 from all the others.
3. C
Reason: 6/7 = 0.86, and the square root of 3/4 = 0.87
F(n+1)=f(n)-2 is the recursive function for this arithmetic sequence. The explicit form is:
f(n)=a-d(n-1) where a(initial term) is 10 and d(common difference) is -2
f(n)=10-2(n-1) which cleans up to
f(n)=12-2n so the first few terms are:
10,8,6,4,2,0,-2,-4.....