10 The number of pets, X, owned by each student in a large school is a random variable with the following discrete probability distribution. X 0 2 3 P (X =X) 0.40 0.30 0.20 0.10 9. What is the probability that a student A 0.20 B 0.30 C 0.90 D 0.70 has at least 2 pets? 10. What is the expected value of X, E(X)? A 1.0 B 0.25 C 1.5 D 0.167 11. What is the variance of X, V(X)? A 1.25 B 0.25 C 1.0 D 1.67 Question 12 - 15 (1 mark each = 4 marks) 12 13 14 15 Monthly fuel costs for a specific type of car are normally distributed with an average of $800 and a standard deviation of $80.| 12. If one of these cars is randomly selected, what is the probability that the A 2.5 B 0.0062 C 0.9938 D 0.0202 fuel cost for this car exceeds $1000? 13. If one of these cars is randomly selected, what is the probability that the A 0.9772 B 0.4207 C 0.0228 D 0.1587 fuel cost for this car is less than $640? 14. Only 10% of these cars would have a monthly fuel cost greater than what value? A $902.40 B $697.60 C $931.60 D $808 15. A sample of 16 cars is now taken. What is the probability that the average monthly fuel cost of the 16 cars selected A 0.1056 B 0.8944 C 0.9938 D 0.0202 is less than $775