1. Math
  2. Statistics And Probability
  3. please answer 1 and 2 show all work...

Question: please answer 1 and 2 show all work...

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1) (6pts) Three married couples have purchased theater tickets and are seated in a row consisting of just six seats. a) How many different seating arrangements are possible? TOTAL: How many different seating arrangéments have the three men (in order) in the three leftmost seats? any b) TOTAL c) Assume the theater-goers take their seats in a completely random fashion. Then each of the seating arrangements in part a) are equally likely. Find the probability that the three men end up seated in the three leftmost PROBABILITY: 2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3. 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to 400? Hint: Partition the event that the number is even and greater than or equal to 400 into: the event that the number is even and between 400&499 inclusive the event that the number is even and greater than or equal to 500. b) (even numbers in [400,499]) __ ways (even numbers 500 or more) ways PROBABILTY Please answer 1 and 2 show all work!!!!
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