1. The manufacturer of a coffee dispensing machine claims the ounces per cup is mound-shaped and symmetric with mean = 7 ounces and standard deviation = 0.8 ounce. If 40 cups of coffee are measured, what is the probability that the average ounces per cup is x is

1a) more than 7.4 ounces?

1b) between 6.9 and 7.4 ounces?

2. Normal Curve Find the area under the standard normal curve to the right of z = -1.42. Determine the area under the standard normal curve that lies between z = -0.8 and z = 0.8 Find the area under the standard normal curve between z = 1 and z = 2. Assume that the random variable X is normally distributed, with mean =40 and standard deviation =10 Compute the probability P(12 X 55). 2a.___________ 2b.___________ 2c.___________ 2d.___________