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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?
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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.
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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?
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