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

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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