3 1 0.111475 4 2 0.3105375 3 0.384475 4 0.17850625 x 0 0.01500625 (b) Use the Binomial table from part (a), find . > 2) = 0.384475 + 0.17850625 = 0.56298125 P(x (c) Use the Binomial table from part (a), find . = 0.01500625 + 0.111475 + 0.3105375 = 0.43701875 Objective C : Binomial Table by StatCunch Example 1: Use StatCrunch with Binomial Distribution to find with and . Open StatCrunch select Stat Calculators Binomial Standard Input = 12 and = 0.4 For select in the n p P(x ≤ 6), inequality box Compute and record the result. (If you need to include the graph, right click on image, select copy image, Paste Special, then select Device Independent Bitmap) Example 2 According to the American Lung Association, 90% of adult smokers started smoking beforeturning 21 years old. Ten smokers 21 years old or older are randomly selected, and thenumber of smokers who started smoking before 21 is recorded. (a) Explain why this is a binomial experiment. There are 2 outcomes (smoke or not) − The probability of success is the same for each trial of experiment trials are independent −The Fixed numbers of trials = 10 n − (b) Use StatCrunch to find the probability that exactly 8 of them started smoking before 21 years of age. Open StatCrunch Stat Calculator Binomial Standard Input = 10 and = 0.9 For = n p P(x 8), select = in the inequality box Compute and record the result. The probability that exactly 8 started smoking before 21 years of age is (x = 8) = 0.19371024 P
3 4 x 0 0.01500625 1 0.111475 2 0.3105375 3 0.384475 4 0.17850625 (b) Use the Binomial table from part (a), find . P(x > 2) = 0.384475 + 0.17850625 = 0.56298125 (c) Use the Binomial table from part (a), find . = 0.01500625 + 0.111475 + 0.3105375 = 0.43701875 Objective C : Binomial Table by StatCunch Example 1: Use StatCrunch with Binomial Distribution to find with and . Open StatCrunch select Stat Calculators Binomial Standard Input n = 12 and p = 0.4 For P(x ≤ 6), select in the inequality box Compute and record the result. (If you need to include the graph, right click on image, select copy image, Paste Special, then select Device Independent Bitmap) Example 2 According to the American Lung Association, 90% of adult smokers started smoking beforeturning 21 years old. Ten smokers 21 years old or older are randomly selected, and thenumber of smokers who started smoking before 21 is recorded. (a) Explain why this is a binomial experiment. − There are 2 outcomes (smoke or not) The probability of success is the same for each trial of experiment −The trials are independent − Fixed numbers of trials n = 10 (b) Use StatCrunch to find the probability that exactly 8 of them started smoking before 21 years of age. Open StatCrunch Stat Calculator Binomial Standard Input n = 10 and p = 0.9 For P(x = 8), select = in the inequality box Compute and record the result. The probability that exactly 8 started smoking before 21 years of age is P (x = 8) = 0.19371024