In this question, assume a discrete random variable is given. Assume the probability of the random variable will be approximated using the normal distribution. Describe the area under the normal curve that will be computed. For example if we wish to compute the probability of finding at least five defective items in a shipment, we would approximate the probability by computing the area under the normal curve to the right of x = 4.5.

The probability that the number of tornadoes that occur in the month of May is between 30 and 40, inclusive. Describe the area under the normal curve that will be computed.

(a) Between 29.5 and 40.5

Between 30 and 40

Between 30.5 and 39.5

Between 29 and 41

(b) Left of 39.5

Left of 40

Left of 39

Right of 39.5