Unit 3 Math in AI Class 9 Question Answer

Unit 3 Math in AI Class 9 Question Answer

Revision Time
Part A

Q1. Match the following:

COLUMN-A	COLUMN-B
I) Probability	a) exploring data
ii) Calculus	b) finding out unknown or missing values
iii) Statistics	c) predicting different events
iv) Linear Algebra	d) training and improving AI model.

[showhide type=”links1″ more_text=”Show Answer” less_text=”Hide Answer”] Ans.

COLUMN-A	COLUMN-B
I) Probability	c) predicting different events
ii) Calculus	d) training and improving AI model.
iii) Statistics	a) exploring data
iv) Linear Algebra	b) finding out unknown or missing values

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Q2. If you are to throw an arrow to this pie chart, in which color is the arrow more likely to fall?

a) Red
b) Blue
c) Yellow
d) Green

[showhide type=”links2″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. b) Blue [/showhide]

Q3. If you select a balloon without looking, how likely is it that you will pick a blue one?

a) Probable
b) Certain
c) Unlikely
d) Impossible

[showhide type=”links3″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. d) Impossible [/showhide]

Q4. With one throw of a 6-sided die, what’s the probability of getting an even number?

a) 1/5
b) 2/5
c) 5/6
d) 1/2

[showhide type=”links4″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. d) 1/2 [/showhide]

Q5. Which of the following is an equation?

a) 2x + 5
b) x + 2 = 4x
c) x^2 + 2x
d) 5 + 5x + 5x^2

[showhide type=”links5″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. b) x + 2 = 4x [/showhide]

Q6. What is the value of x? 10x-8=6x

a) 8
b) 4
c) 2
d) 6

[showhide type=”links6″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. c) 2 [/showhide]

Q7. Which two are examples of descriptive statistics?

a) Median and correlation.
b) Mean and standard deviation.
c) Mode and regression analysis.
d) Variance and Hypothesis testing.

[showhide type=”links7″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. b) Mean and standard deviation. [/showhide]

Q8. What is the probability of getting head when you toss a coin once?

a) 0.75
b) 1
c) 0
d) 0.5

[showhide type=”links8″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. d) 0.5 [/showhide]

Q9. Getting seven in die throwing is a possible event. (True/False).

[showhide type=”links9″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. False [/showhide]

Q10. The median of the data: 155, 160, 145, 149, 150, 147, 152, 144, 148 is

a) 149
b)150
c)147
d)144

[showhide type=”links10″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. a) 149 [/showhide]

Answer the following question:

Q11. Explain the relationship between Mathematics and Artificial Intelligence, providing justification for their interconnection.

[showhide type=”links11″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. Mathematics is fundamental to Artificial Intelligence (AI). The concepts of Math like Calculus, Statistics, Probability provide the foundational tools for developing and understanding AI algorithms. Without Math, AI would not be able to process data, make predictions. [/showhide]

Q12. Aman is confused, how probability theory is utilized in artificial intelligence, help Aman by providing two examples to illustrate its importance.

[showhide type=”links12″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. Probability theory is playing an important role in artificial intelligence (AI) to manage uncertainty and also help in decision-making. Two examples demonstrate its significance.

First, Bayesian inference is used in spam filtering, where specific words help to classify emails as spam or not spam.

Second, in image recognition, probability helps to identify the image belonging to a specific category, such as a cat or dog, based on the features present. [/showhide]

Q13. Define Certain events and likely events with examples.

[showhide type=”links13″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. Those events which are surely happen without any doubt are called certain events. for example when we throw a dice, it is sure that a number appears is always less than 7.

Those events which have high probability to happen are called Likely events. for example if we throw a dice, it is likely to get a number which is less than 5. [/showhide]

Q14. Write any two examples of Impossible and equal probability events.

[showhide type=”links14″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. Two examples of impossible events:

Getting a number 0 while throwing a dice.
Getting a Blue ball from a bag which contains only Red balls.

Two examples of equal probability events.

Getting Red ball or Blue ball from a bag which contains 7 Red balls and 7 Blue balls.
Getting either Head or Tail when we toss a coin.

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Q15. Radhika collected the data of the age distribution of cases admitted during a day in a hospital

Age(in years)	10	12	14	15	16
Cases Admitted (in a day)	5	7	9	22	11

Find the average number of cases admitted in hospital. Also, draw a line graph to represent the data graphically.

[showhide type=”links15″ more_text=”Show Answer” less_text=”Hide Answer”] Ans. Average number of Cases are : 10.8

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Q16. Identify the likely, unlikely, impossible and equal probability events from the following

a. Tossing a coin
b. Rolling an 8 on a standard die
c. Throwing ten 5’s in a row
d. Drawing a card of any suite

[showhide type=”links16″ more_text=”Show Answer” less_text=”Hide Answer”] Ans.

a. Tossing a coin ——————————————- Equal Probability
b. Rolling an 8 on a standard die————————– Impossible
c. Throwing ten 5’s in a row——————————– Unlikely
d. Drawing a card of any suite—————————– Equal Probability

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Unit 3 Math in AI Class 9 Question Answer