# Question Bank Solutions for HSC Commerce 11th - Maharashtra State Board - Mathematics and Statistics

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The following is the data of pocket expenditure per week of 50 students in a class. It is known that the median of the distribution is ₹120. Find the missing frequencies.

 Expenditure per week(in ₹) 0 – 50 50 – 100 100 – 150 150 –200 200 –250 No. of students 7 ? 15 ? 3
[0.021] Partition Values
Chapter: [0.021] Partition Values
Concept: Concept of Median

Find the missing frequency given that the median of the distribution is 1504.

 Life in hours 950 – 1150 1150 – 350 1350 – 1550 1550 – 1750 1750 – 1950 1950 – 2150 No. of bulbs 20 43 100 – 23 13
[0.021] Partition Values
Chapter: [0.021] Partition Values
Concept: Concept of Median

From the following distribution, determine median graphically.

 Daily wages (in ₹) No. of employees Above 300 520 Above 400 470 Above 500 399 Above 600 210 Above 700 105 Above 800 45 Above 900 7
[0.021] Partition Values
Chapter: [0.021] Partition Values
Concept: Concept of Median

In the following data one of the value of y is missing. Arithmetic means of x and y series are 6 and 8 respectively. (sqrt(2) = 1.4142)

 x 6 2 10 4 8 y 9 11 ? 8 7

Estimate missing observation

[0.025] Correlation
Chapter: [0.025] Correlation
Concept: Correlation

State the sample space and n(S) for the following random experiment.

A coin is tossed twice. If a second throw results in a tail, a die is thrown.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

State the sample space and n(S) for the following random experiment.

A coin is tossed twice. If a second throw results in head, a die thrown, otherwise a coin is tossed.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

In a bag, there are three balls; one black, one red, and one green. Two balls are drawn one after another with replacement. State sample space and n(S).

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

A coin and a die are tossed. State sample space of following event.
A: Getting a head and an even number.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

A coin and a die are tossed. State sample space of following event.
B: Getting a prime number.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

A coin and a die are tossed. State sample space of following event.
C: Getting a tail and perfect square.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

Find total number of distinct possible outcomes n(S) of the following random experiment.
From a box containing 25 lottery tickets any 3 tickets are drawn at random.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

Find total number of distinct possible outcomes n(S) of the following random experiment.
From a group of 4 boys and 3 girls, any two students are selected at random.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

Find total number of distinct possible outcomes n(S) of the following random experiment.
5 balls are randomly placed into 5 cells, such that each cell will be occupied.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

Find total number of distinct possible outcomes n(S) of the following random experiment.
6 students are arranged in a row for a photograph.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

Two dice are thrown. Write favourable Outcomes for the following event.
P: Sum of the numbers on two dice is divisible by 3 or 4.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

Two dice are thrown. Write favourable outcomes for the following event.
Q: Sum of the numbers on two dice is 7.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

Two dice are thrown. Write favourable outcomes for the following event.
R: Sum of the numbers on two dice is a prime number.
Also, check whether Events P and Q are mutually exclusive and exhaustive.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

Two dice are thrown. Write favourable outcomes for the following event.
R: Sum of the numbers on two dice is a prime number.
Also, check whether Events Q and R are mutually exclusive and exhaustive.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

A card is drawn at random from an ordinary pack of 52 playing cards. State the number of elements in the sample space if consideration of suits is not taken into account.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability

A card is drawn at random from an ordinary pack of 52 playing cards. State the number of elements in the sample space if consideration of suits is taken into account.

[0.027000000000000003] Probability
Chapter: [0.027000000000000003] Probability
Concept: Introduction of Probability
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