1. Mounting social and academic pressures mean that higher education can be a challenge for any student. A study found that 76% of those studying in higher education reported symptoms of stress or anxiety. a) Find the probability that in a sample of 7 university students, almost 5 reported symptoms of stress or anxiety. b) Find the probability that in a sample of 200 university students, between 156 and 162 reported symptoms of stress or anxiety. (Use the normal approximation to the binomial).

2. An advertising company plans to market a product to low-income families.A study states that for a particular area, the average income per family is$24560 and the standard deviation is $6254. If the company plans to target the bottom 22% of the families based on income, find the cutoff income. Assume the variable is normally distributed.

3. According to a survey, employers paid an average of $7864 per employee in annual premiums to provide family health coverage for their employees, and each worker paid an average of $2062 toward these premiums. Assume that the current annual premiums paid by all workers for family health coverage are normally distributed with a mean of $2062 and a standard deviation of $310. For a random sample of 44 workers, find the probability that the worker pays an average of more than $2134 per year toward the family health coverage premium.