1. Given thatXis binomially distributed withn= 36, andp= 0.33, use the normal approximation to the binomial (with correction for continuity) to estimate the probability thatXis less than 14?

2. A sample of size 35 is selected from a population with mean 84.61and standard deviation 8.36. For this situation what is the standarderror of the mean?

3. A sample of size 35 is selected from a population with mean 84.61and standard deviation 8.36. What is the probability that themean of the sample will be less than 82.2?

4. A sample of size 35 is selected from a population with mean 84.61 cm and standard deviation 8.36 cm. What is the probability that themean of the sample will be within 1.50 cm of the population mean?

5.The mean of a random sample of sizen= 40 is going to be used to estimate the mean of an infinitely large population. Given that the population standard deviation is thought to be 14.55, what is the probability that the sample mean is larger than (mu - 2)? Note that mu is the mean of the population.