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IITM BS Week 9 Statistics 1 Questions | Prasnya

Statistics 1 > Week 9

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21Q

Find the probability that there are exactly 2 customers in the queue. Enter the answer correct to two decimal places.

Find the probability that there are at least 1 customer in the queue. Enter the answer correct to two decimal places.

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.

21 December 2025

A box contains 3 red balls and 3 blue balls. A student randomly picks 3 balls without replacement. Let X be the random variable representing the number of red balls selected. Which of the following option is correct?

21 December 2025

The CDF (cumulative distribution function) of a discrete random variable X is given as: F(x) = { 0, if x < 1;

\frac{1}{5}

, if 1 <= x < 2;

\frac{3}{5}

, if 2 <= x < 3;

\frac{4}{5}

, if 3 <= x < 4; 1, if x >= 4 } Find the value of

P(X \le 3)

Find the range of X.

Find the PMF of X.

A company tracks the number of service requests received per day. Let X be the random variable representing the number of requests. The cumulative distribution function (CDF) of X is given as: F(x) = { 0, x < 0 d, 0 <= x < 1 3d, 1 <= x < 2 0.85, 2 <= x < 3 1, x >= 3 } If the probability that the company receives exactly 1 service request in a day is 0.50, then find the probability that company receives exactly two service requests in a day.

A discrete random variable X can take values 1, 2, ..., 8. For these values the cumulative distribution function is defined by: F(x) = P(X <= x) = (x^2 + k) / 99;

\le

, 2, ..., 8. Find the value of k.

A company has 5 team leads and 15 team members. A small working group of 4 individuals is to be formed to tackle a special project. Let the random variable X represent the number of team leads in the working group. Find the possible values that X can take.

22 December 2024

Which of the following statements is(are) true about CDF (cumulative distribution function)?

Multiple correct

01 September 2024

p = 1/4

, then find the value of P(X

\le

1). Enter the answer correct to two decimal places.

01 September 2024

Identify the correct distribution of X.

An urn contains 10 milk chocolates and 3 dark chocolates. Four chocolates are drawn at random from the urn without replacement. Let the random variable X denote the number of milk chocolates that are drawn from the urn. Find the possible values that X can take.

24 December 2023

Find the value of

P(X = 0)

. Enter the answer correct to two decimal places.

24 December 2023

Find the value of

P(X < 2 \mid X > 0)

. Enter the answer correct to two decimal places.

24 December 2023

What is the probability mass function of X?

03 September 2023

What is the value of

P(X > 2 \mid X < 5)

03 September 2023

There are 6 chocolates in a box out of which 2 are milk chocolates. A sample of 3 chocolates is randomly selected (without replacement) from the box and let a random variable X represents the number of milk chocolates. If

P(X \ge 1 \mid X = 1)

= P(X <= b), then find the value of b.

11 December 2022

An urn contains 10 white balls and 3 black balls. Four balls are drawn from the urn without replacement. Let a random variable X be defined as the number of white balls drawn, what is the possible values X can take ?

Find the value of k. (Enter the answer correct to one decimal place)

Showing 21 questions.

Complete question index for this section:

Question 1 (comprehension):
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Question 3 (integer):
Question 4 (single):
Question 5 (single):
Question 6 (comprehension):
Question 7 (comprehension):
Question 8 (single):
Question 9 (integer):
Question 10 (single):
Question 11 (multiple):
Question 12 (comprehension):
Question 13 (comprehension):
Question 14 (single):
Question 15 (comprehension):
Question 16 (comprehension):
Question 17 (comprehension):
Question 18 (comprehension):
Question 19 (single):
Question 20 (single):
Question 21 (comprehension):