Question

In: Statistics and Probability

1.A small club of 9 people wants to select a 3 person committee consisting of a...

1.A small club of 9 people wants to select a 3 person committee consisting of a president, vice president, and treasurer. How many different leadership structures could the club have?

  1. A statistics professor wants to select a simple random sample of 5 students from their 27 person lab group. How many distinct samples could the professor get?
  1. An experiment consists of flipping a coin 15 times and recording the side each lands on. What is the size of the sample space for this experiment?
  1. In poker, 5 cards from a deck of 52 cards are dealt to each player at the table. A player’s hand is determined only by the cards they are holding and not in the order dealt. How many 5 card hands are possible?

5.How many 6 digit numbers can be formed using the digits 1, 6, 3, 8, 5, 7 w/o any repeated digits.

  1. The California Mega Millions requires picking 5 different numbers from 1 to 70 and then a sixth number from 1 to 25. How many different lottery tickets are possible?
  1. How many numbers can be formed with the digits {1, 1, 1, 1, 2, 2, 2} each only exactly once?
  2. If a coin is flipped 8 times how many ways can you get 3 heads?
  3. A bag of 100 bolts contains 4 defective bolts. A sample of 10 bolts is selected. What’s the probability that there will be at least 1 defective bolt?
  4. A co-ed basketball team has 8 male and 7 female members. The coach needs to put 2 females and 3 males on the court to start the game. How many ways can the coach do this (not counting position)

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