The current in a certain circuit as measured by an ammeter is a continuous random variab...

The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function:

a. Graph the pdf and verify that the total area under the density curve is indeed 1.

b. Calculate P(X ≤ 4). How does this probability compare to P(X < 4)?

c. Calculate P(3.5 ≤ X ≤ 4.5) and also P( 4.5 < X).