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Verizon [17]
3 years ago
13

The amount of time it takes Ariana to do a math problem is continuous and uniformly distributed between 38 seconds and 79 second

s. What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem
Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

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 between c and d, d being greater than c, is given by the following formula:

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

Uniformly distributed between 38 seconds and 79 seconds.

This means that a = 38, b = 79

What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem

c = 58, d = 70

P(58 \leq X \leq 70) = \frac{70 - 58}{79 - 38} = 0.2927

29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem

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