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f(x)for a continuous probability function is15 , and the function is restricted to 0x5. What is P(x<0)?

Short Answer

Expert verified

The value of theP(x<0)iszero.

Step by step solution

01

Given information

f(x)for a continuous probability function is 15

The function is restricted to0x5

02

Solution

Here, the probability density function of the continuous random variable Xis defined as:

f(x)=15,    0x50,    otherwise

So, the probability value of P(x<0)will be calculated as:

P(x<0)=1P(x0)

=10515dx

=115[x]05

=115[50]

=0

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