How many bacteria are in generation 9? O A. 1,180,980 O B. 393,660 C. 1440 O D. 6561
2 answers:
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Answer:
Step-by-step explanation:
It appears you're trying to simplify ...
The final factor cancels the denominator of the fraction, so we have ...
_____
The applicable rules of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
we have 25 individuals that are randomly selected out of 100 shoppers leaving a local bedding store, and we know that each of the shoppers has the SAME probability of answering yes to having made a purchase, so we can assume that the probability that a person or a shopper made a purchase is 1 / 12.
Also we know that we selected 25 individuals, so there are 25 shoppers that can say yes, that means our sample size N is 25.
and you want to know the probability that exactly 4 of the 25 shoppers made a purchase
this is a binomial distribution because we can see that we have a sample size n = 25, we have a proportion of success, 1/2to say yes to having made a purchase and we can say that each shopper is independently from the other shoppers.
So the binomial equation is given by: (check the attached image)
so we know that we want P(X=4) because we want to know exactly 4 out of 25.
so n is 25, p is 1/2 and x is 4 so substituting the values into the equation we will get:
P(X=4) = 25C4 * (1/2)^4 * (1 - 1/2)^(25-4)
P(X=4) = 12650 * 0.0625 * 0.000000476
P(X=4) = 0.000377
the probability that exactly 4 of the 25 shoppers made a purchase is....0.00010243
