The probability density of a random variable X is given in the figure below. From this density, the probability that X is between 0.68 and 1.44 is:

Find the probability that X is between 0.68 and 1.44.

Using the uniform distribution, it is found that there is a 0.38 = 38% probability that X is between 0.68 and 1.44.

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Uniform probability distribution:

In this problem:

The probability that X is between 0.68 and 1.44 is:

0.38 = 38% probability that X is between 0.68 and 1.44.

A similar problem is given at link

0.38

Step-by-step explanation:

The area under the probability density curve is equal to 1.

The width of the rectangle is 2, so the height of the rectangle must be ½.

The probability that X is between 0.68 and 1.44 is therefore:

P = ½ (1.44 − 0.68)

P = 0.38

ok

step-by-step explanation: