Warm Up Imagine a family has three children. 1) What is the probability the family has: 3 girls and 0 boys 2 girls and 1 boy 1 girl and 2 boys 0 girls.

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Presentation transcript:

Warm Up Imagine a family has three children. 1) What is the probability the family has: 3 girls and 0 boys 2 girls and 1 boy 1 girl and 2 boys 0 girls and 3 boys 2) Write the probability distribution for the discrete random variable X, where X = number of boys

Practice Determine if the following problems can be solved using a binomial distribution. If so, find the probability. 1) You flip a coin 8 times. What is the probability exactly 4 of the flips are tails? 2) You draw 5 cards from a deck without replacement. What is the probability 3 are black? 3) A basketball player makes 75% of her free throws. What is the probability she will make 4 of her next 5 free throws?

Graphing Calculator Practice Again we are flipping a coin 8 times. Use your graphing calculator to create the probability distribution for X, where X is the number of tails found in all 8 flips.

Practice Assume the probability the Lakers win an NBA home game is 0.55. Teams play 41 games at home in a season. 1) What is the probability the Lakers will win exactly 22 of their home games in a season? 2) What is the probability the Lakers will win more than 25 of their home games in a season? 3) What is the probability the Lakers will win at least 30 of their home games in a season? 4) What is the probability the Lakers will win no more than 15 home games in a season?

Practice A 2012 study of Americans found that 45% believe in the existence of ghosts. If repeated random samples of 30 Americans are taken: 1) Can the number of Americans found in each sample who believe in ghosts be modeled as a binomial random variable? Why or why not? 2) What is the mean and standard deviation of the number of Americans in samples of 30 who believe in ghosts? 3) What is the probability a sample chosen at random will have more than 15 Americans who believe in ghosts?