Math Answers

There are three Groups A,B and C with no. of persons 50, X, 90. The mean and Standard deviations for these groups are 113, Y, 115 and 6, 7, Z respectively. The Combind n , mean and Standard deviation for three groups are 200,116 and 7.746.

(i) What is n ( The value of X ) for Group II .

(ii) Mean (Value of Y ) of Group II?

(iii) S.D. (Value of Z) of Group III ?

In a box of switches, it is known that 10% of the switches are faulty. A technician is wiring 30 circuits,

each of which needs one switch. What is the probability that (a) all 30 work (b) at most two of the

switches do not work.

2

The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any one day are 0.15, 0.20, 0.25, 0.20 and 0.20, respectivel

The heights of Grade 11 male students in your school are normally distributed with a mean of 168 cm and standard deviation of 10 cm. Describe sampling distribution of 25 students wo are randomly drawn from the population.

Which fraction is equal to:

a. a quarter

b. a sixth and

c. two thirds , respectively

The manufacturer of product Gero requires three distinct processes A-C. On completion the product was passed from process C to finished goods stock. The following information was obtained in respect of the product

5,000 units of raw materials at ksh 250 were issued to process A and other costs incurred are given below

ELEMENT OF COST

PROCESS

TOTAL

A

B

C

Kshs

kshs

kshs

Kshs

Direct materials

5,000

12,000

18,000

35,000

Direct labour

30,000

20,000

10,000

60,000

Direct expenses

2,800

5,200

2,000

10,000

Production overheads

-

-

-

90,000

Production overhead is absorbed by each process at 100% of direct labour

You are required to prepare the process accounts

((𝑝 → 𝑞) ∧ (𝑞 → 𝑟)) → (𝑝 → 𝑟)

A reasearcher chose the participants of his study by selecting every 8th member of the population

Find each of the following percentile points under the normal curve. Complete your procedures and find the corresponding z-score of each problem.

Paragraph

2. Between z=-0.78 and z=-1.95

2. P32

1. P99

Prove that

lim 1/(x+5)^2 = ∞

x→-5