QUESTION

kind assist me understanding how to solve this question clearly- kindly use pdf or word. please give explanations where necessary in each step

a)State clearly what is meant by two events being statistically independent.(2 Marks)

b)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.(3 Marks)

ii)Safety instructions.(3 Marks)

c)James Mwebia stocks and sells, oranges and mangoes in his grocery at Nairobi city market. On Monday last week he sold 100 oranges and 95 mangoes making a total sale of sh.1,625. On Tuesday he sold 120 oranges and 80 mangoes making a total sale of sh.1,580. He buys these items from a distributor at sh.2 and sh.6 for an orange and a mango respectively.

Required;

i)Formulate linear equations connecting the number of units sold and total sales. (2 Marks)

ii)The selling price for each item.(3 marks)

iii)The profit that James Mwebia made on each of the three days. (2 marks)