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Question:
(i) A soft drink machine is regulated so that it fills an average of 300 cL per cup. If the amount of drink in each cup is normally distributed with standard deviation equal to 25 cL, find the probability that a cup of drink chosen at random will contain
(a) between 290 cL and 310 cL,
(b) between 275 cL and 290 cL,
(c) less than 275 cL. (15 marks) of soft drink.
(ii) A certain product is put into cans by a canning machine. The mass of the product in a can has mean 22.40 kg and standard deviation 0.048 kg. A random sample of 36 cans is taken from this population; find the probability that the mean content of the sample falls between 22.41 kg and 22.42 kg. State any necessary assumptions you have made.
(iii) 75% of the houseowners in a particular area own a colour television set. Evaluate the probability that at least 73 of a random sample of 100 houseowners in the area own a colour television set.
Suppose that permanent income, YP (t) is calculated as the average of disposable income (YD t ) over the past 5 years, that is: YP (t) = 0.2(YD t + YD t-1 + YD t-2 + YD t-3
Question 1: (a) Describe the factors that contributed to the adoption of structural adjustment programme by a majority of Least Developed Countries in the 1980s? (b) Describ
I am struggling in my cost accounting class and I need help
What is cut-off date A chosen manually date whereby transactions usually are stopped to give for closing of the books of accounts for a known period: for audit purposes,
1. HV Inc. is trying to determine the optimal time to undertake a product expansion. The project will require an initial investment of $15M and the firm has a WACC of 3%. The expan
(3) You generate a null hypothesis that = 32. You draw a random sample of size n = 28 from the population. You observe the following sample statistics: Y = 35:5 and a
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The average cost per night of a hotel room in New York City is $273 (SmartMoney, March 2009). Assume this estimate is based on a sample of 45 hotels and that the sample standard
Individual Music scores Mathematics scores Angela 2 8 Arthur 6 3 Peter 4 9 Mike 5 7 Barbara 7 2 Jane 7 3 Jean 2 9 Ruth 3 8 Alan 5 6 Theresa 4 7 Assess the data using a Correlation
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