Question

cics This Question: 1 pt 4 of 977 completo) This Quiz: 9 pts possible st statistic of rejected Es suggest nce with 334 According to an airline, flights on a certain route are on time 80% of the time. Suppose 20 flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 12 flights are on time. (c) Find and interpret the probability that fewer than 12 flights are on time. (d) Find and interpret the probability that at least 12 flights are on time. (e) Find and interpret the probability that between 10 and 12 fights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment Select all that apply A. The experiment is performed until a desired number of successes is reached. B. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving lato. C. Each trial depends on the previous trial D. The trials are independent SE. The probability of success is the same for each trial of the experiment F. There are two mutually exclusive outcomes, success or failure. 06. The experiment is performed a fixed number of times. (b) The probability that exactly 12 flights are on time is I (Round to four decimal places as needed.) Interpret the probability In 100 trials of this experiment, it is expected about to result in exactly 12 lights being on time. (Round to the nearest whole number as needed.) 78' 52 + 1.008 1174 7. ary ins Click to select your answers) 30 AN 6 s

Answer 1

Solution - a D,E,F, b) xn Bimonial (20; 0.80) na Plx) = 12) bxana P(x=12) 12. (92) (0.80) 10.20 Die - 0.0222 2 In 100 trials, we expect about zbasio X 20-X C) P(x(12) Ž (20)10.809 10:23 0.0100 X=0 Im 100 trials, we Expect about = 20 d) P(x> 12) = FIAT 20-X I (0) (0-8910-2) o.g9oo X=12 Im 100 trials, we 99 Expect about 12 20-X © P(10< x512) Ž 120 10.8, 10.30 X=10 0.03 16 3 In 100 trials, we Expect about