srshelton
30.09.2019 •
Mathematics
Scenario: a worn out bottling machine does not properly apply caps to 5% of the bottles it fills. use scenario: if you randomly select 20 bottles from those produced by this machine, what is the approximate probability that exactly 2 caps have been improperly applied?
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Ответ:
P = 0.356
Step-by-step explanation:
The machine has a 5% probability of not properly appliying the cap to a bottle.
This, in decimal form is p1 = 0.05
Then the probability of appliyinc correctly the cap is equal to p2 = 0.95
If we select 20 bottles and only two of them have problem with the cap, the probability will be:
P = 0.05^2*0.95^18
Because we have two bottles that landed in the 0.05 and 18 bottles that landed in the 0.95
P = 0.0089
But we have 20 oppotunties to land with those porbabilities for each botle, so the probability is:
Pt = 2*20*0.089 = 0.356
Ответ:
x=7
Step-by-step explanation: