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Kelsey works at a bicycle shop as a sales person. She records the number of bicycles she sells on a daily basis. Who is the probability distribution of the number of bicycles Kelsey sells on a randomly selected day? And what is the meaning of 'b'?

User Jeff Beck
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Final answer:

The probability distribution of Kelsey's bicycle sales would show the likelihood of selling different numbers of bicycles on any given day. The term 'b' commonly refers to a specific value within the range of possible outcomes for the random variable.

Step-by-step explanation:

The probability distribution of the number of bicycles Kelsey sells on a randomly selected day would be a list of all possible numbers of bicycles she could sell along with the probability of selling that number of bicycles. To determine this distribution, we would need data on her sales over a period of time. Once we have that data, we could then calculate the frequency of each sales number and use that to estimate the probability. For example, if Kelsey sells 0, 1, 2, or 3 bicycles on any given day, and over a month she sold 0 bicycles 4 times, 1 bicycle 10 times, 2 bicycles 12 times, and 3 bicycles 4 times, we could use those frequencies to estimate the probabilities for each number of sales.

The term 'b' in the context of probability distributions usually refers to a specific value that the random variable can take on. For instance, in the probability distribution P(X = b), 'b' would represent a specific number of bicycles sold by Kelsey.

User Steve Koch
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