1) If p = .3 and a random sample of n = 50 is taken, what is the probability that p-hat is greater than .4? Initialize the value of 'rightTail' below rounded to the hundredths place.
2) Suppose Mu (the population mean) is 60 and the sigma (the population standard deviation) is 12. If a random sample of 36 observations was taken from this population, what is the probability the sample mean would be less than 59?
Initialize the value of 'leftTail' below rounded to the hundredths place.
3) A random sample of 100 observations were taken from a population and 40 successes were obtained. If you were to construct a 90% confidence interval for the true proportion of successes in the population, what would the upper bound be for the confidence interval?
Initialize the value of 'upper' below to the hundredths place.