Math Problem Solver

1. (a) The patients who attended a district hospital on a certain day are as follows:

[Adult | Children |

[Male 20 «| ~ 40

|

i Female _ 35

(i) A patient is selected at random from the clinic. Determine the probability

that she is a female child. (2 marks)

(ii) A male patient is selected at random from the clinic. Determine the

probability that he is a child. (3 marks)

(iii) A child patient is selected at random from the clinic. Determine the

probability that he is male. (3 marks)

(bh fi} Outline any three requirements for linear programming. (3 marks}

ii} A career researcher claims that at most 60% of the employees in Kenya are

not satisfied with their current jobs. A random sample of 512 employees

showed that 64% of the employecs are not satisfied with their jobs. Test

whether this claim is significantly less at the 5% level of significance.

(9 marks)

2. (a) Outline four disadvantages of mean as a measure of central tendency.

(4 marks)

(by (i) State two advantages and two disadvantages of the Spearman's rank co-

efficient of correlation. (4 marks)

(ii) Differentiate between deciles and percentiles as used in statistics. (2 marks)

(c) With the aid of a sketch and in each case, differentiate between a positively skewed

and a negatively skewed distributton. (4 marks)

(d) ‘Table | shows details of examination results for Quantitative Methods and Data

Communication subjects. Use it to answer the questions that follow.

Table 1

Gradescored iT PT OT

No of | Quantitative Methods