6.3 Binomial dist mean and standard deviation.notebook
January 31, 2017
Bell Work 1/31/2016
A basketball player makes 73% of his free throws. He will shoot an estimated 30 free throws this year. Let x=# of made free throws.
Write the probabilities with symbols, and calculate.
P(making exactly 21)
P(making at most 23)
P(making at least 20 but less than 26) Jan 31­7:24 AM
Jan 31­7:52 AM
1
6.3 Binomial dist mean and standard deviation.notebook
January 31, 2017
6.3 continued
EQ: How are the mean and standard deviation of a binomial distribution calculated?
Feb 23­3:36 PM
You are taking a 12 question multiple choice quiz. All questions are A­D with one correct answer per question. You didn't study and decide to use your calculator to generate you answers for all 12 questions. Let x=# of correct guesses.
Feb 24­7:25 AM
2
6.3 Binomial dist mean and standard deviation.notebook
January 31, 2017
For x~B(n,p) when n=# of trials and
p=probability of a success:
μx=np
σx= √np(1-p)
Feb 23­3:37 PM
Check for Understanding pg 393
To introduce her class to binomial distributions, Mrs. Desai gives a 10­item, multiple choice quiz. The catch is, students must simply guess an answer A­E. Patti is a student in this class. Let X=# of Patti's correct guesses.
μx=
Interpretation:
σx=
Interpretation:
What is the probability that the number of Patti's correct guesses is more than 2 standard deviations above the mean?
Feb 23­3:41 PM
3
6.3 Binomial dist mean and standard deviation.notebook
January 31, 2017
Bell Work 2/25/2016
There are 18 red, 18 black, and 3 green slots on a roulette table. You are going to play 8 games of roulette. Let x= # of times the ball landed on red.
μx=8(18/39)=3.68
Interpretation:You should expect to have the ball land on red 3.68 times out of 8 games.
σx=√3.68(1­0.46)=1.4
Interpretation:You would expect the number of times it lands on red to deviate from 3.68 by 1.4 after 8 trials.
What is the probability that the ball would land on red less times than one standard deviation below the mean?
Feb 23­3:54 PM
4