MTH 507 - Statistics and Probability TUTORIAL Q.1 How many points are there in the sample space of each of the following random experiments? Write down the complete sample space for each case: (i) tossing a die; (ii) tossing one coin one die; Q.2 The following table gives the two-way classification of 400 students based on sex and whether or not they work while being full-time students. Work Do Not Work Male 120 60 Female 130 90 Select one student randomly from this group of 400 students. What is the probability that this student: (i) does not work (ii) is a female (iii) does not work given he is a male (iv) is a female given she worksQ.3 If E and F are independent events with P(E) = 0.3 and P(F) = 0.5, Find (a) P(E / F) (b) P(F/ E) (C) P(ENF) (d) P(EUF) Q.4 If P(A) = 0.20 and P(B) = 0.30 then find the following probabilities: (a) PCA ) (b) P( B ) (c) P(AUB) if A and B are mutually exclusive (d) P(An B) if A and B are mutually exclusive