Math  /  Data & Statistics

QuestionLet XX be a random variable with a CDF equal to F(x)=c(11.5xex)1[1.8;)(x)F(x)=c \cdot\left(\frac{1}{1.5}-x e^{-x}\right) \cdot \mathbb{1}_{[1.8 ; \infty)}(x), where cc is a constant. Find cc :
Answer: 3.361 \square
The correct answer is: 1.500
For the random variable defined aboveP (X[3.96;))(X \in[3.96 ; \infty)) amounts to
Answer: \square 1

Studdy Solution
Compute P(X[3.96,))=1F(3.96) P(X \in [3.96, \infty)) = 1 - F(3.96) .
Substitute the calculated value of F(3.96) F(3.96) to find the probability.
The probability P(X[3.96,)) P(X \in [3.96, \infty)) is:
1 \boxed{1}

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