## According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags of Skittles,

Question

According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags of Skittles, what is the probability that the proportion in our sample of red candies will be less than 20%

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2021-10-09T20:37:39+00:00
2021-10-09T20:37:39+00:00 1 Answer
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## Answers ( )

Answer:Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .Step-by-step explanation:We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

~ N(0,1)

where, p = 0.20 and n = 100

Let = proportion of red candies in our sample

So, P( < 0.20) = P( < ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .