With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. a company has just manufactured 1969cds, and 400are defective. if 3of these cds are randomly selected for testing, what is the probability that the entire batch will be accepted? does this outcome suggest that the entire batch consists of good cds? why or why not? if 3of these cds are randomly selected for testing, what is the probability that the entire batch will be accepted? the probability that the whole batch is accepted is nothing.(round to three decimal places as needed.)does the result in (a) suggest that the entire batch consists of good cds? why or why not? a.no, because only a probability of 1 would indicate the entire batch consists of good cds.b.yes, because it is not unlikely that the batch will be accepted.c.no, because the sample will always consist of good cds.

a) 95%

b) No, because the sample size is too small.

Step-by-step explanation:

There are  

ways of choosing 3 elements out of 1969 without repetition.

By the rule of product, there are  

400*399*388 = 63,520,800

ways of selecting 3 defective CD's

So, the probability of taking 3 defective CD's out of 1969 is

63,520,800/1,270,351,544 = 0.05 (5%)

Hence, the probability of choosing 3 non defective CD's is

0.95 (95%)

And this is the likelihood the entire batch will be accepted.

This result should not indicate that the entire batch consists of good CD's because the sample size is too small.

Determining the sample size depends on several factors which include the margin of error acceptable and the size of the population.  

But as a rule of thumb, for a population less than 10,000 a 10% is considered a good size of sample.

So, in this case, a sample should consist of around 190 CD's.

The P - intercept of the equation is 28

Solution:

Given equation models the relation between amount of Randy's monthly water bill payment and number of units of water used

P = 28 + 2.54w

Where,

"P" is the monthly water bill payment in dollars

"w" is the number of units of water used

Compare this equation with slope intercept form

Slope intercept form: y = mx + c

Where "m" is the slope of line and "c" is the y intercept

Therefore in given equation, P = 28 + 2.54w

2.54 is the slope and 28 is the P - intercept

The slope, 2.54, means that Randy’s payment increases by $2.54 when the number of units of water he used increases by 1

When "w" increases by 1 , then P increases by $ 2.54

The P –intercept means that if the number units of water Randy used was 0, the payment would be $28

When w = 0 ,

P = 28 + 0

P = $ 28

Thus the P - intercept determines the monthly payment bill