Suppose x is a uniform random variable with values ranging from 40 to 90. Find the probability that a randomly selected observation exceeds 75.

Respuesta :

ok, so x is a number ranging from 40-90 which is 50 meaning that x has 50 different possibilities. But what are the chances that x is 75? well the chances of x being 75 is 1 out of 50.

so that means there is a 2% chance of x being 75

brainliest is appreciated

Using the uniform distribution, it is found that there is a 0.3 = 30% probability that a randomly selected observation exceeds 75.

An uniform distribution has two bounds, a and b.  

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, uniform random variable with values ranging from 40 to 90, thus [tex]a = 40, b = 90[/tex].

The probability that a randomly selected observation exceeds 75 is:

[tex]P(X > 75) = \frac{90 - 75}{90 - 40} = \frac{15}{50} = 0.3[/tex]

0.3 = 30% probability that a randomly selected observation exceeds 75.

A similar problem is given at https://brainly.com/question/13547683