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Determine the probability of each of the following events occurring. State the a

ID: 3159581 • Letter: D

Question

Determine the probability of each of the following events occurring. State the approach to probability which you used and any assumptions which you needed to make. (a) A person selected from the payroll of a company is a clerical worker given that there are 350 people on the payroll of whom 120 are clerical workers. (b) A light bulb selected from a production line is defective if, out of 400 bulbs already tested, eight were defective. (c) A new-born baby is male. (d) This month’s sales forecast for a product has an error of more than 10% if the forecast had an error of over 10% in 21 out of the last 60 months. (e) A permanently manned space station is established on Mars by the year 2050.

Explanation / Answer

a)

Probability = 120 / 350 = 0.3429

b)

Prob = 8 / 400 = 0.02

c=

Prob = 0.5 because there is only 2 option it can be male or female

d)

Probability = 21 / 60 = 0.35

e)

need more infomration to calculate a probability

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