Students of a large university spend an average of $6 a day onlunch. The standard deviation of the expenditure is $2. A simplerandom sample of 81 students is taken. 1. What is the probabilitythat the sample mean will be at least $5.25? 2. What is theprobability that the sample mean will be at least $6.50? 3. What isthe range of money spent by people who fall within one standarddeviation of the mean? 4. Kelsey spent $12 on her lunch today.Explain to her, in terms of the normal distribution curve andstandard deviation, why her purchase is not very typical.