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When the number of trials n is large, the [] for the number of successes is appr

ID: 3368758 • Letter: W

Question

When the number of trials n is large, the [] for the number of successes is approximated by a normal distribution having mean np and standard deviation V np(1-p) QUESTION 2 1 pe In a normal distribution, the [xl is highest exactly at the mean. QUESTION 3 1 points For a variable with a normal distribution, about [x] are within two standard deviations of the mean. QUESTION 4 1 points The sample size determines the number of [x] of the r-distribution degree of freedom Click Save and Submit to save and submit. Click Save All Ansswers to save all Save All Answers Save and

Explanation / Answer

Here are the answers to the 4 questions-

1) When n is large for a binomial distribution, we estimate the probability of the number of successes by a normal distribution with that mean and SD

So, [x] : probability

2) At the mean, we have a peak in the normal curve. This indicates the probability/frequency represented by a PDF

[x] : probability

3) As per 68-95-99 rule,

95% observations lie within 2 SD from the Mean

[x] : 95%

4) The sample size determines the degrees of freedom

If n is the sample size, the df are n-1

[x] : degrees of freedom

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