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:

Casual Crowd

A chance collection of individuals in the same location at the same time.

Mob

A crowd that gathers to achieve an emotionally driven goal.

Social Movements

Collective efforts by groups of people to drive or resist changes in society, often aiming at social or political reforms.

Collective Behaviour

Actions or behaviors of a group of people who are in direct or indirect contact and engage in similar activities or practices, often spontaneous and with uncertain outcomes.