1. Galway Bay Restaurants (GBR) has several restaurants around the country Since the outbreak of COVID-19 and subsequent reduction in the restaurant business, the owners of GBR are seeking to reduce wages in a bid to make some cost savings and avoid job loss. To help them inform the decision the owners of GBR would like to gain information on the amount of tip a waiter/waitress can expect to earn per bill. Analysis of 500 recent bills indicated that the waiter/waitress earned the following amounts in tips per 8-hour shift.

Amount of Tip...............Number

€0 up to €20...................200

€20 up to €50...................100

€50 up to €100...................75

€100 up to €200...................75

€200 or more...................50

total......................................500

i. What is the probability of a tip of £200 or more?

ii. Are the categories €0 up to €20, €20 up to €50, and so on considered mutually exclusive?

iii. What is the probability of a tip of up to €50? iv. What is the probability of a tip of less than €200?

2.  The monthly expenditure by households on electricity bills follows a normal probability distribution with a mean of €50 and a standard deviation of €4. On the basis of this information:

i. What is the probability of selecting a household whose bill is between €44 and €55?

ii. What is the probability of selecting a household whose bill is greater than €55?

iii. Compute the probability of a value between €52 and €55.