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A bottle of water is supposed to have 12 ounces. The bottling company has determined that 98% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled? n=12, p=36, x=98 n=0, p=0.98, x=36 n=36, p=0.98, x=12 n=36, p=0.98, x=36

Respuesta :

Answer:

n=36, p=0.98, x=36

Step-by-step explanation:

We are given that  The bottling company has determined that 98% of bottles have the correct amount.

So, The probability of bottle having correct amount of water = 0.98

So, p= probability of success = 0.98

So, q = probability of failure = 1-p = 1- 0.98 = 0.02

Now we are given that the probability that a case of 36 bottles has all bottles properly filled

So, n = 36

Now we are supposed to find that all bottles properly filled

So, x must also be 36

Binomial formula : [tex]P(X=r)=^nC_r p^r q^{n-r}[/tex]

[tex]P(X=36)=^{36}C_{36} (0.98)^36 (0.02)^{36-36}[/tex]

[tex]P(X=36)=^{36}C_{36} (0.98)^36 (0.02)^{0}[/tex]

So, Option D is correct.

n=36, p=0.98, x=36

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