Afactory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded. what is the approximate mean and standard deviation of the number of chips meeting specifications?
a. m = 1.625; s = 1.265
b. m = 162; s = 1.414
c. m = 16.2; s = 1.62
d. m = 16.2; s = 4.025
e. m = 16.2; s = 1.27

e. m = 16.2; s = 1.27

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we can assume that the distribution for X is given by:

The probability mass function for the Binomial distribution is given as:

Where (nCx) means combinatory and it's given by this formula:

Normal approximation

We need to check the condition in order to use the normal approximation.

So we see that we satisfy the condition and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

The best answer would be:

e. m = 16.2; s = 1.27

do you mean add both of the equations together

because if you do the answer is 10x-5

step-by-step explanation:

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.