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Statistics is a branch of applied mathematics dealing with data collection, organization, analysis, interpretation and presentation. Descriptive statistics summarize data. ... In addition to being the name of a field of study, the word "statistics" also refers to numbers that are used to describe data or relationships.
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(a) Can the delegation be chosen? (b) Can it be chosen, if two people refuse to go together? (c) Can it be chosen, if two particular members insist on either both going or neither going? (d) Can it be chosen, if two people must be chosen from full-time assistant profes- sors (six in number) and one person must be chosen from the visiting assistant professors (four in number)?
(a) Suppose all the rooms are single occupancy. (b) Suppose all the rooms are double occupancy.
(a) Find the probability of finding the AC switched on at the end if student A didn’t switch it on. (b) Find the probability that student B switched off the AC if the AC was switched on at the end.
0.1; if it is a lemon, then it will break down with probability 0.9. The probability that the car rental company gives you a new car is 0.8; a 1 year old car is 0.1 and a lemon is 0.1. Find the probability that your rental car is going to break down in your road trip.
(a) If 3 letters are placed at random in three envelopes, what is the probability that exactly one letter will be placed in the correct envelope? (b) If n letters are placed at random in n envelopes, what is the probability that exactly n − 1 letters will be placed in the correct envelopes?