tut_1 - randomly, what is the probability that the...

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Page 1of 1 GENG200 Probability and Statistics for Engineers Tutorial - 1 Question 1: Two balls are “randomly drawn” from a bowl containing 6 white and 5 black balls. What is the probability that one of the drawn is white and the other black? Question 2: A class in probability theory consists of 6 men and 4 women. An exam is given and the students are ranked according to their performance. Assuming that no 2 students obtain the same score. a) How many different ranking are possible? b) If all rankings are considered equally likely, what is the probability that women receive the top 4 scores? Question 3: A committee of size 5 is to be selected from a group of 6 men and 9 women. If the selection is made
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Unformatted text preview: randomly, what is the probability that the committee consists of 3 men and 2 women? Question 4: The probability distribution for the random variable X is given by: X 3 3.5 4 4.5 5 5.5 P ( x ) 0.10 0.20 0.29 0.11 δ 0.16 a) What is the value of δ ? b) Calculate P(3 < x ≤ 5.1) and P(x ≤ 4.7). c) The variable x is sampled 20,000 times. How many times would you expect x to have a value between 3.5 and 4.1, inclusive? Question 5: A total of 28% of American males smoke cigarettes, 7% smoke cigars, and 5% smoke both cigars and cigarettes. What percentage of males smoke neither cigars nor cigarettes? Question 6:...
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This note was uploaded on 10/12/2011 for the course STATISTICS 101 taught by Professor Nazim during the Spring '10 term at Qatar University.

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