IITM BS Question 3 - Week 9 Practice

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IITM BS Question 3 - Week 9 Practice | Prasnya

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Q3Numerical3 Marks21 Dec 2025

A random variable X represents the number of packages delivered by a courier company in a day. The cumulative distribution function (CDF) of X is given below:

F(x) = \begin{cases} 0, & x < 0 \\ 0.10, & 0 \le x < 1 \\ 0.45, & 1 \le x < 2 \\ 0.70, & 2 \le x < 3 \\ 1, & x \ge 3 \end{cases}

Find the value of

P(X > 1 \mid X < 3)

. Enter the answer correct to two decimal places.

Your answer

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21 Dec 2025

Statistics 1 · Week 9

Q3.A random variable X represents the number of packages delivered by a courier company in a day. The cumulative distribution function (CDF) of X is given below:

F(x) = \begin{cases} 0, & x < 0 \\ 0.10, & 0 \le x < 1 \\ 0.45, & 1 \le x < 2 \\ 0.70, & 2 \le x < 3 \\ 1, & x \ge 3 \end{cases}

Find the value of

P(X > 1 \mid X < 3)

. Enter the answer correct to two decimal places.

Your Answer

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