In a group of 50 ballpoint pens on a shelf in the stationary department of Metro Department Store, 2 are known to be defective. (Round your answers to three decimal places.)(a) If a customer selects 3 of these pens, what is the probability that at least 1 is defective?(b) If a customer selects 3 of these pens, what is the probability that no more than 1 is defective?

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Asked Oct 25, 2019
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In a group of 50 ballpoint pens on a shelf in the stationary department of Metro Department Store, 2 are known to be defective. (Round your answers to three decimal places.)

(a) If a customer selects 3 of these pens, what is the probability that at least 1 is defective?


(b) If a customer selects 3 of these pens, what is the probability that no more than 1 is defective?
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Expert Answer

Step 1

(a)

 

There are total 50 pens so, N = 50 out if 50, 2 pens are defective and else are not defective.

 

Let X be the number of pens that are defective in randomly selected n ...

P(X21)1-P(X <0)=1-P(X=0)
KN-K
0
п-0
P(X 0)
п
50-2
3-0
1x17296
=0.882449
50
19600
P(X 21) 1-P(X= 0)
1-(0.882449).117551
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P(X21)1-P(X <0)=1-P(X=0) KN-K 0 п-0 P(X 0) п 50-2 3-0 1x17296 =0.882449 50 19600 P(X 21) 1-P(X= 0) 1-(0.882449).117551

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