# MATH 1 The amounts a soft drink machine is designed

1) The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 11.7 fluid ounces and a standard deviation of 0.2 fluid ounce. A drink is randomly selected.(a) Find the probability that the drink is less than 11.6 fluid ounces.(b) Find the probability that the drink is between 11.4 and 11.6 fluid ounces.(c) Find the probability that the drink is more than 12.2 fluid ounces. Can this be considered an unusual event? Explain your reasoning.2) Find the probability and interpret the results. If convenient, use technology to find the probability. During a certain week the mean price of gasoline was $2.709per gallon. A random sample of 32 gas stations is drawn from this population.What is the probability that the mean price for the sample was between $2.688 and $2.733 that week? Assume sigma?equals=$0.0480.a) The probability that the sample mean was between $2.688 and $2.733 is? (Round to four decimal places asneeded.)