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Let x be a random variable with uniform distribution on (100,200). Find the probability that x assumes a value

Sagot :

jenn6f34
if your saying (100,200) on a graph then c will be 100 because first veritable is always going to be x

The probability that x assumes a value less than three standard deviations from the mean is 1.

What is uniform distribution?

The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.

We have:

x be a random variable with uniform distribution on (100,200).

It is required to find the probability that x assumes a value less than three standard deviations from the mean.

From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.

99.7% data from the (100, 200) is up to 199.7

Total number of favourable outcomes = 99.7

The probability that x assumes a value less than three standard deviations from the mean:

= 99.7/(200-100)

= 0.997 ≈ 1

Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.

Learn more about the uniform distribution here:

https://brainly.com/question/13233983

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