Industrial quality control programs often include inspection of incoming materials from suppliers. If parts are purchased in large lots, a typical plan might be to select 20 parts at random from a lot and inspect them. A lot might be judged acceptable if one or fewer defective parts are found among those inspected. Otherwise, the lot is rejected and returned to the supplier.

Find the probability of accepting lots that have the given percentage of defective parts. (Round your answers to three decimal places.)
(Hint: Identify success with a defective part.)

(a) 5% defective parts
P(lot will be accepted) =

(b) 15% defective parts
P(lot will be accepted) =

(c) 20% defective parts
P(lot will be accepted) =

Step-by-step explanation:

Given that industrial quality control programs often include inspection of incoming materials from suppliers. If parts are purchased in large lots, a typical plan might be to select 20 parts at random from a lot and inspect them.

A lot might be judged acceptable if one or fewer defective parts are found among those inspected. Otherwise, the lot is rejected and returned to the supplier.

No of defectives in the lot would be binomial with constant p probability for being defective.  There are only two outcomes

a) 5% defective parts Here p = 0.05

P(lot will be accepted) =

=0.7358

b) p = 0.15

c)  p=0.20

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!