A small stationary store has about 2500 pens in the store and wants to estimate the mean retail value of pens that it has in its inventory. A random sample of 100 pens is selected and the computed mean of the sample is $2.64 and a standard deviation of $0.44. Assuming a normal distribution, construct a 95% confidence interval of the mean value of all the pens in the store.

A. the following events are mutually exclusive: living in california and watching american idol. true or false b. the number of patients seen by an outpatient practice is an example of a discrete random variable. true or false c. the law of large numbers states that as the number of times an event experiment is conducted increases, the likelihood of the actual probability of an event approaching the theoretical probability decreases. true or false d. measuring the time it takes for patients to enter the operating room is an example of a continuous random variable. true or false