ore: 1 67 of 5 pts 10 of 16 (15 complete) HW Score: 86 1116, 2067 of 2 62.35-T E

Question

ore: 1 67 of 5 pts 10 of 16 (15 complete) HW Score: 86 1116, 2067 of 2 62.35-T E Question Help According to an airline, tson a certain roule ae on tim e 75% of the time Suppose 2S fi hts are randomly selected and th, na berofor tineltsbrecorded (a) Explain why this is a binomial experiment (b) Find and interpret the probability that exacly 15 fights are on time (c) Find and interpret the probability that fewer than 15 flights are on time (d) Find and interpret the probability that at least 15 fights are on time le) Find and interpret the probability that between 13 and 15 flights, inclusive, are on tie (a) Identihy the statements that explain why this is a binomial experiment Select all that apply VA. The trials are independent Each trial depends on the previous tra . There are two mutually exclusive outcomes, success or failure The experiment is performed a fixed number of times The probabiliy of success is the same for each trial of the experiment There are three matually exclusive possibly outcomes, arliving on dime, amiving early, and antiving late The experiment is performed until a desired number of successes is reached ) The probablity that exactly 15 flights ate on ime is 0 0417 (Roundto tour decimal places 85 needed ) nterpret the probability 100 trials of this experiment is expected about[00342 toresua in exacty 15 Sights being on time Round to the mearest hole number as needed) Enter your ansawer in the answer box and then click Check Answer Final Check 0 7 8

Explanation / Answer

Here, we would be using binomial distribution and the formula would be as shown below: -

n!/x!*(n-x)!*p^x*q^n-x, p=0.75, q=0.25, n=25

b)

x=15,

prob = 0.0417

c)

x<15

prob = 0.02967

d)

x>=15

prob = 0.9703

e)

x= 13 to 15

prob = 0.068

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.