The probability density of a random variable X is given in the figure below. From this density, the probability that X is at least 0.48 is: .Give your answer to at least 4 decimal places.

The probability density of a random variable X is given in the figure below From this density the probability that X is at least 048 is Give your answer to at l class=

Respuesta :

X is a value between 0 and 2. We want to find the probability of x ≥ 0.48. Those numbers are the numbers between 0.48 and 2.

Thus:

[tex]2-0.48=1.52[/tex]

Now, we calculate the probability, 1.52 is the favorable outcomes and 2 is the total outcomes:

[tex]P(x\ge0.48)=\frac{1.52}{2}=0.76[/tex]

The probability in decimal is 0.76

The probability in fraction form is:

[tex]\frac{19}{25}[/tex]

And the probability as a percentage is:

[tex]0.76\cdot100=76\%[/tex]