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A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is
- a)50
- b)25
- c)10
- d)100
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A die is thrown 100 times. If getting an odd number is considered a su...
P(getting even number) =1/2
q(not even number)1/2
Variance =npq=npq
=100*1/2*1/2= 50
q(not even number)1/2
Variance =npq=npq
=100*1/2*1/2= 50
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A die is thrown 100 times. If getting an odd number is considered a su...
Variance of the number of successes in a given trial can be calculated using the formula:
Variance = n * p * (1 - p)
where n is the number of trials and p is the probability of success in each trial.
In this case, a die is thrown 100 times and getting an odd number is considered a success. Since there are 6 possible outcomes when throwing a fair die (numbers 1 to 6), and 3 of them are odd (numbers 1, 3, and 5), the probability of getting an odd number in a single throw is:
p = 3/6 = 1/2
So, the variance can be calculated as:
Variance = 100 * (1/2) * (1 - 1/2)
Simplifying this expression, we get:
Variance = 100 * (1/2) * (1/2)
Variance = 100/4
Variance = 25
Therefore, the variance of the number of successes (getting an odd number) in 100 throws of a die is 25.
Variance = n * p * (1 - p)
where n is the number of trials and p is the probability of success in each trial.
In this case, a die is thrown 100 times and getting an odd number is considered a success. Since there are 6 possible outcomes when throwing a fair die (numbers 1 to 6), and 3 of them are odd (numbers 1, 3, and 5), the probability of getting an odd number in a single throw is:
p = 3/6 = 1/2
So, the variance can be calculated as:
Variance = 100 * (1/2) * (1 - 1/2)
Simplifying this expression, we get:
Variance = 100 * (1/2) * (1/2)
Variance = 100/4
Variance = 25
Therefore, the variance of the number of successes (getting an odd number) in 100 throws of a die is 25.
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A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes isa)50b)25c)10d)100Correct answer is option 'B'. Can you explain this answer?
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