Class 12 Exam > Class 12 Questions > P [X = x] = nCx px qn-x is the formula for __...
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P [X = x] = nCx px qn-x is the formula for _____
- a)parametric distribution
- b)binomial distribution
- c)poisson distribution
- d)extreme distribution
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
P [X = x] = nCx px qn-x is the formula for _____a)parametric distribut...
Formula for binomial distribution is P [X = x] = nCx px qn-x
Where n is the number of trials, x is the number of successes and (n-x) is failures.
Where n is the number of trials, x is the number of successes and (n-x) is failures.
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P [X = x] = nCx px qn-x is the formula for _____a)parametric distribut...
Binomial Distribution Formula Explanation:
To understand the formula P [X = x] = nCx px qn-x, let's break it down:
Binomial Distribution:
- The formula belongs to the binomial distribution, which is a probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials.
Parameters:
- n represents the total number of trials
- x represents the number of successful outcomes
- p represents the probability of success in a single trial
- q represents the probability of failure in a single trial (q = 1 - p)
Binomial Probability Formula:
- P [X = x] = nCx px qn-x
- nCx represents the number of ways to choose x successes out of n trials
- px represents the probability of x successes
- qn-x represents the probability of n-x failures
Application:
- This formula is used to calculate the probability of getting exactly x successes in n trials, given the probability of success in a single trial.
Therefore, the correct answer is option 'B' - binomial distribution, as the formula provided is specific to calculating probabilities in a binomial distribution scenario.
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P [X = x] = nCx px qn-x is the formula for _____a)parametric distributionb)binomial distributionc)poisson distributiond)extreme distributionCorrect answer is option 'B'. Can you explain this answer?
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