Question

In: Statistics and Probability

On a certain day,500 students are cross classified according to age groups and mars scored in...

On a certain day,500 students are cross classified according to age groups and mars scored in the quiz

age group
marks below 81 18-21 22 plus
less than 51 30 31 25
51-70 60 40 46
71-90 80 20 100
91-100 26 2 40

a)state and explain any two non- mutually exclusive events.

b)state and explain any two mutually exclusive events

c) Calculate the probability that a randomly selected student:

i) Scored 95%

ii)is aged 23 years

iii) is aged 1 years or scored 75%.

iv) scored 44 % and is aged 19 years. ( 3 marks)

d. Given that a randomly selected student scored 60%, calculate the probability that the student is aged 20 years.

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