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Cpa Section Iv Quantitative Analysis Question Paper
Cpa Section Iv Quantitative Analysis
Course:Cpa Part Ii
Institution: Pinnacle Business School question papers
Exam Year:2011
CPA section IV
Quantitative Analysis
Probability Distribution
Question 1
A couple plans to have four children. Determine the following probabilities:
i. All are boys
ii. Exactly two girls
iii. Less than two girls
iv. Three boys or less
v. Third born is the second girl
Question 2
If a new family is planning to have six children determine the probability of having
a. Three girls and three boys
b. Exactly one girl
c. More than four boys
d. All girls
Question 3
In a production process it has been established that 5% of total output is defective. If six items are picked at random for inspection, evaluate the following probabilities:
a. Not defective
b. Exactly 3 defectives
c. More than 1/2 are defective
d. All are defective
e. 2nd item picked is the 1st defective
Question 4
Citrus fruits are packed in containers of 20 for export. It is known that 2% of such fruits are spoilt by the time they reach their destination. If such a container is picked at random determine the following probabilities
a. Obtaining more than 2 spoilt fruits
b. Probability that at most one fruit is spoilt.
Question 4
Invoices at a particular depot have amounts which follow a normal distribution with a mean of £103.60 and a standard deviation of £8.73.
Determine the percentage of invoices that will be:
a. Over £120.05
b. Below £72.75
c. Between £83.65 and £117.6
d. What will be the invoice amount such that approximately 20% of invoices are for greater amounts
e. What amounts of invoices, symmetrical about the mean, will 95% of all invoice amounts lie?
Question 5
In a production probes it is known that 4% of the items are defective. Twenty (20) items are selected at random by a quality control inspector.
Required
Determine the probability that:
a. Exactly 3 items are defective
b. Less than 3 items are defective
(use a normal approximation as well as binomial distribution)
Question 6
It takes ten minutes on average to receive an order in a certain restaurant after it has been placed. If the service is exponentially distributed, find the probability that customer waiting time is
i. >10 minutes
ii. 3 minutes or less
iii. Between 4 minutes and 12 minutes
Question 7
It takes a computer maintainance person three hours to repair a microcomputer.
Required
i. Determine the average service rate
ii. Determine the chances that service on a faulty computer will take less than 2 hours
iii. What is the standard deviation of the distribution
Question 8
The sales distribution for a product in a year is uniform and ranges between 400 and 900 units.
Determine the following probabilities:
a. That sales will be
i. Between 500 units and 600 units
ii. Greater than 750 units
b. Determine the mean of the distribution and its standard deviation.
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