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TEST 1

QUESTION 3 (10 Marks) Bingo Food Industries Son. Bhd. produces two types of cookies, 60% of the cookies are sugar-free and 40% are fat-free. A cookie is randomly selected from a production line to check if it is broken. From the past data, it is known that 5% of the sugar-free cookies and 3% of the fat-free cookies are broken. a Draw a tree diagram. b) What is the probability of getting a broken cookie? C If a cookie was inspected and found broken, what is the probability that it is a fat-free cookie?QUESTION 2 (20 Marks) A company has 600 employees. A random sample of 11 employees was selected and the numbers of sick days recorded by the employees last year were as shown below. 12 44 15 5 4 5 17 4 25 2 10 Calculate the following: a) mean b) mode C) median d) standard deviation e) variance skewnessQUESTION 1 (10 Marks) It is estimated that the probability that a student pass an English test is 0.65. If 20students take the test, find: i) the probability that exactly 8 students pass the test. ii) the probability that at least 18 students pass the test. iii) the probability that at most 2 students fail the test. iv) the number of students expected to fail the test. QUESTION 2 (15 Marks) The number of patients arriving per hour at an emergency room in a hospital followsPoisson distribution with a mean of 16. Find the probability that i) exactly ten patients arrive during an hour period. ii) at most twelve patients arrive from 0700H to 0715H. iii) between 20 and 25 patients who will arrive during a two-hour period