1) A final exam in math 160 has a mean of 73 with standard deviation 7.8.if 22 students are randomly selected, find the probability that sample mean of their test scores is less than 75. 2) a die rolled 18 and the number of times that two shows on the upper face is counted. If this experiment is repeated many times, find the mean for the number of twos. 3) find the mean The mean number of homicides per year in one city is 31.6. Suppose a Poisson distribution will be used to find the probability that on a given day there will be fewer than 4 homicides. Find the mean of the appropriate Poisson distribution (the mean number of homicides per day) Round answer in four decimal places