A Continuous Random Variable X Has the Following Probability Density

question 223

Essay

A continuous random variable X has the following probability density function:
f(x)= 1/4,0 ≤ x ≤ 4
Find the following probabilities:
a.P(X ≤ 1)
b.P(X ≥ 2)
c.P(1 ≤ X ≤ 2)
d.P(X = 3)

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Definitions:

HIV Infections

The invasion of the body by the Human Immunodeficiency Virus, which compromises the immune system and can lead to AIDS if untreated.

Intravenous Drugs

Medications or substances that are administered directly into the vein, allowing for rapid absorption into the bloodstream.

Pre-Exposure Prophylaxis (PrEP)

HIV-negative persons at substantial risk for HIV taking antiretroviral medicine every day to help prevent becoming infected with HIV.

Bodily Fluids

Liquids produced by the body, including blood, semen, vaginal secretions, and saliva, which can transmit diseases if exchanged between individuals.