## Q:

### What is the variance of the distribution of the average an IID draw of n observations from a population with mean μ and variance σ2 ?

## Q:

### Suppose that diastolic blood pressures (DBPs) for men aged 35-44 are normally distributed with a mean of 80 (mm Hg) and a standard deviation of 10. About what is the probability that a random 35-44 year old has a DBP less than 70?

## Q:

### Brain volume for adult women is normally distributed with a mean of about 1,100 cc for women with a standard deviation of 75 cc. What brain volume represents the 95th percentile?

## Q:

### Refer to the previous question. Brain volume for adult women is about 1,100 cc for women with a standard deviation of 75 cc. Consider the sample mean of 100 random adult women from this population. What is the 95th percentile of the distribution of that sample mean?

## Q:

### You flip a fair coin 5 times, about what’s the probability of getting 4 or 5 heads?

## Q:

### The respiratory disturbance index (RDI), a measure of sleep disturbance, for a specific population has a mean of 15 (sleep events per hour) and a standard deviation of 10. They are not normally distributed. Give your best estimate of the probability that a sample mean RDI of 100 people is between 14 and 16 events per hour?

## Q:

### Consider a standard uniform density. The mean for this density is .5 and the variance is 1 / 12. You sample 1,000 observations from this distribution and take the sample mean, what value would you expect it to be near?

## Q:

### The number of people showing up at a bus stop is assumed to be Poisson with a mean of 5 5 people per hour. You watch the busstop for 3 hours. About what’s the probability of viewing 10 or fewer people?

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