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lisov135 [29]
2 years ago
6

The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m

inutes. What is the probability that it takes Renee at most 29 minutes to go grocery shopping
Mathematics
1 answer:
balandron [24]2 years ago
3 0

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that a = 18.5, b = 40.5

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

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\\  \\

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\hookrightarrow\sf {a}^{2}  =144

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