STATISTICS AND PROBABOLITY Compute the following problems: 1. The heights of 1 000 students are normally distributed with a mean of 169.5 cm and a standard deviation of 6.5 cm. Assuming that the heights are normally distributed, how many students have heights: a. From 150.5 cm to 182 cm b. less than or equal to 160 cm 2. A certain type of storage battery lasts on the average 3.0 years with a standard deviation of 0.5 years. Assuming that the battery lives are normally distributed, find the probability that the given battery will last: a. Less than or equal to 2.3 years b. at least 2.0 years 3. A SM5 department store sales clerk knows that the number of sales he/she will make on a business day is a random variable having approximately a normal distribution with -25 and =4.0 . Find the probability that during a business day the salesclerk will make at most 20 sales