A ball is drawn from a bag of 26 red and 12 yellow balls. The process is repeated 50 times, replacing each ball that is drawn. Which of the following statements about the distributions of counts and proportions is true?A. The count of drawing a yellow ball is not a binomial distribution. B. The count of drawing a red ball is a binomial distribution. C. The distribution of the count of drawing a red ball cannot be approximated with a normal distribution D. The distribution of the count of drawing a yellow ball from a sample size of 10 can be approacimated with a normal distribution.

B. The count of drawing a red ball is a binomial distribution.

Step-by-step explanation:

The count of drawing a red ball can be gotten by binomial distribution because:

the chance of success; p = 26/50 and chance of no failure; q = 24/50

For example, If we want to find probability of getting 5 red balls out of 20 selections, we will use the binomial probability distribution formula;

P(X = 5) = C(20, 5) × p^(5) × q^(20 - 5)

This same procedure also applies if we want to get the probability of getting a number of yellow balls out of a number of selections from the bag.

Looking at the options, the best option that explains how it's binomial probability that works is option B

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step-by-step explanation:

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