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4 years ago

Jan won 51.9% of the votes in the race for school secretary. She received 415 votes. About how many students are in the school?

1 answer:

7 0

Mental way:
415 / 51.9 * 100 = 800 students in the school.

detailed way:
x is the amount of students in the school.
51.9% * x = 415
(divide both sides by 51.9% (or 0.519))
x = 800 students

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The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

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So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

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$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

= 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

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