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# revision 1 - Try these Please do not distribute#1 The...

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Try these Please do not distribute

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#1 The number of errors, X, on each page of a 200 pages book was monitored. The results when summarized showed that: Σ X = 920 and Σ X 2 = 5032 Calculate the mean and the SD of the number of errors per page.
#2 A travel agent sells holidays at his shop. The price, in Baht, of 15 holidays sold on a particular day are as follows: 299 10502315999 485 350 169 1015650 830 99 2100 689 550 475 (a) Find the mean and the SD (b) Find the median and interquartile range

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#3 A card is selected from a deck of cards. Let Q be the event that the card is a queen and D the event that the card is a diamond. Find: (a) P(Q and P) (b) P(Q or D) (c) P(~Q or D) (d) P(Q and ~D) Describe in words the probabilities (e) P(~Q and D) = 3/13 (f) P(~Q and ~D) = 9/13
#4 If A and B are two events such that P(A)=0.6, P(B)=0.3 and P(A or B) = 0.8 ,find: (a) P(A and B) (b) P(~A and B) (c) P(A and ~B) (d) P(~A and ~B) (e) P(A or ~B) (f) P(~A or B)

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#5 If S and T are two events such that P(T)=0.4, P(S and T)=0.15 and P(~S and ~T)= 0.5, find: (a) P(S and ~T) (b) P(S) (c) P(S or T) (d) P(~S and T) (e) P(~S or ~T)
#6 M and N are two events such that P(M)=P(N)=2P(M and N). Given P(M or N)=0.6,find: (a) P(M and N) (b) P(M) (c) P(~M and ~N) (d) P(M and ~N)

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#7 A bag contains 6 red and 4 blue pencils. A pencil is picked without replacement and then another pencil is picked. Find the chance that: (a) both pencils are red (b) the pencils are of different colors (c) the second pencil is a red given that the first one is a blue
#8 A teacher calculates that if a student regularly completes their homework the probability they will pass the exams is 0.8 and if the student does not do homework, the probability they will pass the exams is 0.4. Given that only 75% of students in a the EBA stats class do their homework regularly, calculate that the chance that a randomly selected students: (a) does not do homework regularly and passes the exam (b) passes the exams

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#9 A certain professor’s breakfast consists of either some cereal or toast (but not both) to eat and one drink from a choice of fruit juice, tea or coffee. If he has cereal, the probability that he chooses coffee is 3/5 and the probability that he chooses tea is 3/10. If he has toast, the probability that he chooses coffee is 2/5 and the probability that he chooses tea is 1/5. Given that he has cereal with probability 3/4: (a) find the chance hat on any particular day he has (i) fruit juice, and (ii) cereal and coffee (b) find his most popular breakfast combination
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