-
What is marginal rate of substitution?
Date posted:
December 13, 2018
-
Explain the socio-cultural changes that have taken place in traditional African communities in Kenya today.
Date posted:
December 12, 2018
-
State the relevance of prophet Jeremiah’s suffering to Christians today.
Date posted:
December 12, 2018
-
Give five obstacles the church is facing in trying to curb injustice in Kenya today.
Date posted:
December 12, 2018
-
Explain four teachings of prophet Amos on social justice and responsibility in Israel.
Date posted:
December 12, 2018
-
Outline the responsibilities given to human beings by God from the Biblical creation stories in Genesis 1 and 2.
Date posted:
December 12, 2018
-
How was yatta plateau formed?
Date posted:
December 12, 2018
-
What is a levee? Explain how a levee is formed.
Date posted:
December 12, 2018
-
Explain the events that took place on Mount Olives before the death of Jesus
Date posted:
December 12, 2018
-
What happens when ammonium chloride is heated?
Date posted:
December 12, 2018
-
Kivumishi in baadhi ya aina za maneno
Date posted:
December 12, 2018
-
Crystals of sodium carbonate decahydrate were exposed to air for about four days
1. State what was observed
2. Name the process that took place
3. Write an equation for the reaction that occurred
Date posted:
December 11, 2018
-
(a)Name two isothermal layer in the atmosphere (b) Explain three ways in which metamorphic rocks are of economic significance to Kenya
Date posted:
December 11, 2018
-
Give reasons why it is necessary to assess mathematics achievement.
Date posted:
December 11, 2018
-
State a reason why it may not be possible to suck a liquid into your mouth using drinking straw on the surface of the moon.
Date posted:
December 10, 2018
-
Discuss the free market economy and state the advantages and disadvantages of the economic system
Date posted:
December 8, 2018
-
Discuss the traditional economy and state the advantages and disadvantages of the economic system
Date posted:
December 8, 2018
-
Explain the two branches of Economics and give the difference between the two
Date posted:
December 8, 2018
-
Explain the difference between cardinal numbers and ordinal numbers.
Date posted:
December 8, 2018
-
Two different models are available for the same machine. The production statistics (number of units
produced per hour) of these two models are given below. The data was collected on different days.
Will you conclude that Model A and Model B have the same productivity?
Date posted:
December 8, 2018
-
In each of the following three situations, use binomial, poisson, or normal distribution depending on which is
the most appropriate.
In each case, explain why you selected the distribution and draw attention to any feature which supports or
casts doubt on the choice of distribution.
a) Situation 1:
The lifetimes of a certain type of electrical components are distributed with a mean of 800 hours and
standard deviation of 160 hours.
Required:
i) Identify situation 1.
ii) If the manufacturer replaces all the components that fail before the guaranteed minimum lifetime of
600 hours, what percentage of the components have to be replaced?
iii) If the manufacturer wishes to replace only 1% of the components that have the shortest life, what
value should be used as the guaranteed lifetime?
iv) What is the probability that the mean lifetime of a sample of 25 of these electrical components exceeds 850 hours?
b) Situation 2:
A green grocer buys peaches in large consignments directly from wholesaler. In view of the perishable
nature of the commodity, the green grocer accepts that 15% of the supplied peaches will usually be
unsaleable. As he cannot check all the peaches individually, he selects a single batch of 10 peaches on
which to base his decision of whether to purchase a large consignment or not. If no more than two of
these peaches are unsatisfactory, the green grocer purchases the consignment.
Required:
i) Identify situation 2.
ii) Determine the probability that under normal supply conditions, the consignment is purchased.
c) Situation 3:
Vehicles pass a certain point on a busy single-lane road at an average rate of two per 10 second interval.
Required:
i) Identify situation 3.
ii) Determine the probability that more than three cars pass this point during a 20 second interval.
Date posted:
December 8, 2018
-
How do you capture the attention of the audience?
Date posted:
December 7, 2018
-
The purchasing department has analysed the number of orders placed by each of the 5 departments in the
company by type of this financial year as given in the table below:
An error has been found in one of these orders.
Required:
i) Determine the probability that the incorrect order was not for consumables.
ii) Determine the probability that the incorrect order came from maintenance or production.
iii) Calculate the probability that the incorrect order was an equipment order from purchase.
Date posted:
December 7, 2018
-
Grear Tyre Company has just developed a new steel-belted radial tyre that will be sold through a chain of discount stores.
Because the tyre is a new product, the company‟s management believes that the mileage guarantee offered
with the tyre will be an important factor in the consumer acceptance of product. Before finalizing the tyre mileage guarantee policy, the actual road test with the tyres shows that the mean tyre
data collected indicate that a normal distribution is a reasonable assumption.
Required:
i) Grear Tyre Company will distribute the tyres if 20 per cent of the tyres manufactured can be expected
to last more than 40,000 kilometers. Should the company distribute the tyres?
ii) The company will provide a discount on a new set of tyres if the mileage on the original tyres does not exceed the mileage stated on the guarantee.
What should the guarantee mileage be if the company wants no more than 10% of the tyres to be
eligible for the discount?
Date posted:
December 7, 2018
-
The past records of Salama Industries indicate that 4 out of 10 of the company‟s orders are for
export. Further, their records indicate that 48 percent of all orders are for export in one particular
quarter. They expect to satisfy about 80 orders in the next financial quarter.
Required:
i) Determine the probability that they will break their previous export record
ii) Explain why you have used the approach you have chosen to solve part (i) above.
Date posted:
December 7, 2018
-
An electric utility company has found out that the weekly number of occurrences of lightning striking the
transformers is a Poisson distribution with mean 0.4.
Required:
i) The probability that no transformer will be struck in a week.
ii) The probability that at most two transformers will be struck in a week.
Date posted:
December 7, 2018
-
In a certain factory that employs 500 men, 2% of all employees have a minor accident in a given year. Of
these, 30% had safety instructions whereas 80% of all employees had no safety instructions.
Required:
Find the probability of an employee being accident-free given that he had:
i) no safety instructions.
ii) safety instructions
Date posted:
December 7, 2018
-
A firm has four plants scattered around the city producing the same homogeneous item at all plants. The first plant produces 30 per cent of the total production, second plant 25 per cent, third plant 35 per cent and the fourth plant 10 per cent. The firm has a single warehouse in the city for storing the finished product of all the plants without any distinction. From the past performance records on the proportion of defectives, it has been found that 5 per cent, 10 per cent, 15 per cent and 20 per cent from the items produced at plants 1, 2, 3, and 4 respectively are defective. Before the shipment of the items to a dealer, one unit is selected and found defective. What is the probability that the item was produced in plant 3?
Date posted:
December 7, 2018
-
A firm recently submitted a bid for a turnkey project for a 500 MW power plant. If its main competitor submits a bid, the chances of bid being awarded to the firm is 0.3. If the main competitor doesn't bid, there is a
3/4 chance of the firm getting the contract. There is a 0.50 chance that the main competitor will bid.
i) What is the probability of the firm‟s getting the contract?
ii) What is the probability that the competitor‟s bid given that the firm's bid is awarded?
Date posted:
December 7, 2018
-
Three groups of children contain respectively 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys. One child is selected at random from each group, show that the chance that the three selected, consist of 1 girl and 2 boys is 13/32.
Date posted:
December 7, 2018