Question

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Answer 1

Answer:

a=4

Step-by-step explanation:

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Answer 2

For any continuous probability distribution, the total area under the curve indicating the probability density function must be 1.

$\mathbb P(X\le a)=0.75$ is saying that the area to the left of $x=a$ is 0.75. This area is also that of a rectangle.

The height of this rectangle is 0.25, and $\dfrac{0.75}{0.25}=3$, which means the width is 3. Since 4 - 1 = 3, it must be that $a=4$.