Mathematics, 14.02.2020 00:10 monkeypants7

Suppose the amount of time needed to change the oil in a car is uniformly distributed between 14 minutes and 30 minutes, with a mean of 22 minutes and a standard deviation of 4.6 minutes.

Let X represent the amount of time, in minutes, needed to complete a randomly selected oil change. What is the probability that a randomly selected oil change takes at most 20 minutes to complete?

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Answer from: j8838

37.5% probability that a randomly selected oil change takes at most 20 minutes to complete.

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.

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

For this problem, we have that:

Uniformly distributed between 14 minutes and 30 minutes, which means that a = 14, b = 30

What is the probability that a randomly selected oil change takes at most 20 minutes to complete?

This is $P(X \leq 20)$ . So

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

$P(X \leq 20) = \frac{20 - 14}{30 - 14} = 0.375$

There is a 37.5% probability that a randomly selected oil change takes at most 20 minutes to complete.

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Answer from: Quest

whatvare the choices

step-by-step explanation:

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Suppose the amount of time needed to change the oil in a car is uniformly distributed between 14 min...