IIT JAM Exam > IIT JAM Questions > The variance of the number of heads in three ...
Start Learning for Free
The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]
Correct answer is '0.75'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The variance of the number of heads in three tosses of a coin is _____...
Number of tosses = n = 3
S = (HHH. HHT. HTH. HTT. THH. THT. TTH.TTT)
Let X = number of heads.
Possible values of X are 0.1.2. 3
p = Probability ot getting head in one toss = 1/2
q = Probability oi getting tail in one toss =1/2
S = (HHH. HHT. HTH. HTT. THH. THT. TTH.TTT)
Let X = number of heads.
Possible values of X are 0.1.2. 3
p = Probability ot getting head in one toss = 1/2
q = Probability oi getting tail in one toss =1/2
Most Upvoted Answer
The variance of the number of heads in three tosses of a coin is _____...
Calculation of Variance
The variance of the number of heads in three tosses of a coin can be calculated using the formula for variance.
Formula for Variance
Variance = (P(head) * (1-P(head)) * n)
Calculation
- Probability of getting a head in a single toss of a fair coin is 0.5
- Probability of not getting a head (getting a tail) in a single toss is also 0.5
- Number of tosses (n) = 3
Variance = (0.5 * 0.5 * 3)
Variance = 0.75
Explanation
- In each toss, the probability of getting a head is 0.5 and the probability of getting a tail is also 0.5.
- The variance is a measure of how spread out the outcomes are around the mean.
- In this case, the variance of 0.75 indicates that the outcomes of the number of heads in three tosses of a coin are relatively spread out from the mean value.
- This means that there is a moderate level of variability in the number of heads that can be obtained in three coin tosses.
The variance of the number of heads in three tosses of a coin can be calculated using the formula for variance.
Formula for Variance
Variance = (P(head) * (1-P(head)) * n)
Calculation
- Probability of getting a head in a single toss of a fair coin is 0.5
- Probability of not getting a head (getting a tail) in a single toss is also 0.5
- Number of tosses (n) = 3
Variance = (0.5 * 0.5 * 3)
Variance = 0.75
Explanation
- In each toss, the probability of getting a head is 0.5 and the probability of getting a tail is also 0.5.
- The variance is a measure of how spread out the outcomes are around the mean.
- In this case, the variance of 0.75 indicates that the outcomes of the number of heads in three tosses of a coin are relatively spread out from the mean value.
- This means that there is a moderate level of variability in the number of heads that can be obtained in three coin tosses.
|
Explore Courses for IIT JAM exam
|
|
The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer?
Question Description
The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer?.
The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer?.
Solutions for The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer?, a detailed solution for The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer? has been provided alongside types of The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The variance of the number of heads in three tosses of a coin is _____ [answer upto two decimal places]Correct answer is '0.75'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
|
|
Explore Courses for IIT JAM exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup