Exam Questions on Basic Statistics

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Exam Questions on Basic Statistics

  1. 1. INTERNATIONAL UNIVERSITY OF BUSINESS AGRICULTURE AND TECHNOLOGY Midterm examination STA 240 Full marks: 100 Time: 50 minutes1. Two coins are tossed; find the probability that a) At most one tail is obtained. b) At least one head is obtained.2. The number of persons X, in a family chosen at random has the following probability distribution: X 0 1 2 3 4 P(X) 0.1 0 m 0.2 0.3 a) Find the value of m. b) Find the average family size E (X). c) Also find V(X).3. Interpret the following results : a) r = 0.79 b) r = 0.65 c) r = 0.34 d) r = 0.184. A die is tossed 3 times. What is the probability ofa) No fives turning up? b) 3 fives? c) 1 five?5. Vehicles pass through a junction on a busy road at an average rate of 300 per hour.a. Find the probability that none passes in a given minute.b. What is the expected number passing in two minutes?c. Find the probability that this expected number actually pass through in a given two- minute period.6. Find the following probabilities: a. P (Z > 1.06) b. P (Z < -2.15) c. P (1.06 < Z < 4.00)7. p(x)=x ; 0<x<1 A) Find E (X). B) Also find V(X). Md. Mortuza Ahmmed

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