flights Solved: At a (--) a cards are Quiz: Chapter 6 Quiz This Question: 1 pt (
ID: 2948765 • Letter: F
Question
flights Solved: At a (--) a cards are Quiz: Chapter 6 Quiz This Question: 1 pt (b) Find and interpret the probability that exactly 17 flights are on time. (c) Find and interpret the probability that fewer than 17 fights are on time. (d) Find and interpret the probability that at least 17 fights are on time. (e) Find and interpret the probability that between 15 and 17 flights, inclusive, are on time (a) identify the statements that explain why this is a binomial experiment Select all that apply A. The probability of success is the same for each trial of the experiment Each trial depends on the previous trial. There are two mutually exclusive outcomes, success or failure B. C. D. The experiment is E. F. There are three mutually exclusive possibly outcomes, arriving on-time, armiving early, and arriving late G. The experiment is performed until a desired number of successes is reached a fixed number of times The trials are independent. (b) The probability that exactly 17 flights are on time is Round to four decimal places as needed.) Interpret the probability (Round to the nearest whole number as needed.) (c) The probability that fewer than 17 flights are on time is Round to four decimal places as needed.,)Explanation / Answer
a)
Answer is A) C) E)
b)
n = 24, p = 0.85
As per binomial distribution,
P(X=r) = nCr * p^r * (1-p)^(n-r)
P(x =17) = 24C17 * 0.85^17 * (1-0.85)^7
= 0.0373
c)
P(x < 17) = 0.0199
By using excel: =BINOM.DIST(16,24,0.85,TRUE)
d)
P(x >=17) = 1- P(x <=16)
By using excel: =BINOM.DIST(16,24,0.85,TRUE)
= 1 - 0.0199
= 0.9801
e)
P(x = 15) = 24C15 * 0.85^15 * (1-0.85)^9
= 0.0044
P(x = 16) = 24C16 * 0.85^16 * (1-0.85)^8
= 0.014
P(x <= 17) = 24C17 * 0.85^17 * (1-0.85)^7
= 0.0373
P(x =15) + P(x =16) + P(X = 17) = 0.0044 + 0.014 + 0.0373 = 0.0557
In 100 trials, it is expected about 100*0.0557 = 5.57 ~ 6.
About 6 times
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.