1. A telephone receptionist takes an average of six calls per hour. Calculate the probability that the receptionist takes:

1. exactly five calls in the next 45 minutes. Short explanations to be provided.
2. two or more calls in the next 30 minutes. Short explanations to be provided.

2. In the first quarter of 2014, therental cost of a three-bedroom house in a regional town was$300 with a standard deviation of $30. Assume that the rental costs arenormally distributed. If you select arandom sample of ten rental properties, what is the probability that the sample will have a mean rental cost of:

1. Less than $275? Short explanations to be provided.
2. Between $280 and $300? Short explanations to be provided.
3. Greater than $310? Short explanations to be provided.