(1) Jackie manages 12 programmers at CIBC. a) In how namy ways could 7 programme
ID: 3333663 • Letter: #
Question
(1) Jackie manages 12 programmers at CIBC.
a) In how namy ways could 7 programmers be selected for 7 different assignments?
b) In how many ways could 7 programmers be selected to work on a group project?
(5) The probability that a scheduled Air Canada flight departs on time is p(D) = 0.83; the probability that it arrives on time is p(A) = 0.74. The probability that it arrives on time if it departed on time is 0.88. Aunt Gemma is coming to visit on an Air Canada flight.
a ) What is the probability that Aunt Gemma’s plane departed on time if it arrived on time?
b) What is the probability that Aunt Gemma’s plane departed on time if it did not arrive on time?
(6) The CEO of a company has to relocate to another part of the country. The company has hired a relocation agency to help purchase a house. The CEO has 4 children and so has specified that the house has to have at least 5 bedrooms. The relocation agency has narrowed the search down to the houses in the following table:
An agent for the relocation agency has selected one of these houses at random to showcase to the family.
(e) What is the probability that house is either Victorian or Ranch or has a fireplace?
No Fireplace With Fireplace Total Victorian Ranch Other Total 14 2 21 21 42Explanation / Answer
1 a) Number of ways in which 7 programmers be selected from 12, for 7 different assignments = 12P7
= 12!/(12-7)! = 3991680
b) Number of ways in which 7 programmers be selected from 12 for a group project = 12C7 = 12!/(5! x 7!) = 792
6) Probability that house is either Victorian or Ranch or has a fireplace = (9 + 22 + 5)/42 = 6/7
NB: Please post different questions separately
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