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A basket contains 12 ripe and 7 unripe mangoes. If four mangoes are taken from the basket one after the other, how many samples space we have in this experiment?
A machinist is making engine parts with axle diameters of 0.700 inch. A random sample of 10 parts shows a mean diameter of 0.742 inch with a S.D. of 0.040 inch. Compute the statistic you would use to test whether the work is meeting the specification.
Q2: Marres limited has the following demand and cost functions
Demand function: P=80-3Q, where P is the unit selling price and Q is quantity in thousands
Cost function: TC=Q2+20Q+100, where TC is total cost in Ksh 000000
Required:
Optimal price to maximize profit (3mks)
Maximum profit (2mks)
: a) Outline the various ways of dealing with uncertainity in cost volume profit analysis (4mks)
b) Vast company limited manufactures a single product Zoe.
The following standard cost apply in its business
Standard weight to produce one unit 12kgs
Standard price per kg sh 9
Standard hours to produce one unit 10
Standard rate per hour sh 4
Actual production and costs for one accounting period were as follows:
Material used 3770kgs
Material costs sh 35,815
Hours actually worked 2,755
Hours paid for 2,900
Wages paid sh 11,571
The actual output was 290 units
Required:
Calculate the relevant material and labour variances (6mks)
x=2x^4 + 6x^3 + 4x + 4. none of the possible roots are actual roots of the equation. What does this mean about the roots of the polynomial?
- In a certain country, the true probability of baby being a girl is 0.45.
- Among the next seven randomly selected births in this country, what is the probability that at least one of them is a boy?
Would it be a significant event if none of the next 7 births resulted in a boy? How do you know?
In a hospital, a statistician records the sex of newborn babies. Let M be the random variable representing males among five newborn babies.
The average Pag-ibig salary loan for RFS Pharmacy Inc. employees is Php 23,000. If the debt is normally distributed with a standard deviation of Php 2,500, find the probability that the employee owes less than Php 18,500.
You play a game with two six-sided dice. If you roll a sum of 3 or 8, you win ₱600. If you roll a sum of 10, you win
₱400. However, you lose ₱500 for anything else. If you continue to play the game, how much do you expect to
win or lose in the game?
The production cost,represented by (y), of a bluetooth device, is equal to the product of labour cost (m) and the number of devices (x) in addition to a constant equipment renting fee (q)
