Please use this formula I provided to solve the questions. Answer in A4 papers. with eligible handwriting . Thanks.

(CLO2:PLO4:C3)(CLO2:PLO7:C3) FORMULA SHEET Sturges Rule: No. of classes : c=1+3.3logn iz range Class width : C Arithmetic mean : n n [X () if n is odd X - L + 2 - F Median : + x() if niseven Mode : Standard deviation : 1- 1 s = n-1 IQR : 2 -2 O, at "+ th term 4 Q, at 3(n + 12 th term 3(mean - median) mean - mode Coefficient of skewness : standard deviation Or standard deviation standard deviation Coefficient of variation : x 100% mean Probability : P(AUB) = P(A) + P(B) mutually exclusive events P(AUB) - P(A) + P(B) - P(AnB) not mutually exclusive events P(AnB) - P(A)P(B) independents events P( A/ B) = P(An B) P(B) conditional probability Page 1 of 7 + 15to Cut Times New Roman * 12 A A Q Aa- E.SEX. A9." AaBbCcDd AaBb( AaBbC AaBbCom Paste" Copy Format BI U- A - X X A - DA-A Painter Normal Heading 1 Heading 2 Heading 3- Styles and (CLO1:PLO1:C4)(CLO1:PLO2:C4) Normal 3. 10% of the company staff are administrative employees, the number of clerical employees are 50% more than the number of administrative staff and the rest are production employees. The New Sty sickness rate for the three categories of employees last month were administrative 2%, clerical 3%, production employees 8%. Find the probability that a randomly selected employee from all Pick forn the staff Head (a) had been absent sick last month. (2 marks) Head (2 Headi (b) was a clerical employee who had been absent sick last month. marks) Head Headin (c) was a production employee, given that the employee had been absent sick last month. (3 marks) (d) was an administrative employee, given that the employee had not been absent sick last Headin (3 month. List marks) Normal Show Va Show PHeading s Styl 4. The following data record the number of days absence in a week (other than holidays) of a random sample of 50 primary students when the number of confirmed Covid-19 cases a day N before was more than 1,000 cases. N Number of days absent (x) Number of students 0 20 Pic H 5 H A 6 10 H (a) Construct a probability distribution for the data provided above. (2 marks) H H (b) Find the mean and the standard deviation for the number of days absent for a student. (6 marks) H (c) If the probability distribution of the number of days absent remain unchanged for the next 2 (2 No weeks, estimate the total number of absenteeism for the next 2 weeks. Sho marks)