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:
[7 6]
[7 4]
Step-by-step explanation:
Step-by-step explanation:
He has done one half = ½
Finding ½ of 14
½ × 14
7
Hence, Hong has memorized 7 words
Answer:
a = 1 and b = 2
Step-by-step explanation:
Using the Quotient Rule>
d/dx[(sin x)/(2+cos x) ]
= [(2 + cos x) * cosx - sin x * - sin x)] / (2 + cos x)^2
= 2cos x + cos^2x + sin ^2 x) / (2 + cos x)^2
But cos^2x + sin^2x = 1 so we have:
(1 + 2 cos x) / (2 + cos x)^2
- so a = 1 and b = 2.
Answer:
21%
Step-by-step explanation:
Actually there are three levels of process here.
If 100 calls are made only 70 calls are completed (since 30%not completed)
Out of these 70 completed we find that 40% i.e. 28 calls to a woman and 30% i.e. 21 go to a man.
28 females and 21 males
Out of 28 females 45% buy something =
Out of 21 males 40% buy something = 
Total percent of calls result in a sale = 
So 21% of calls result in a sale