Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of 14 flights is studied. Round the probabilities to at least four decimal places. Part: 0 / 4 Part 1 of 4 (a) Find the probability that all 14 of the flights were on time. The probability that all 14 of the flights were on time is Part: 1/4 Part 2 of 4 (b) Find the probability that exactly 12 of the flights were on time. The probability that exactly 12 of the flights were on time is Part: 2/4 Part 3 of 4 (c) Find the probability that 12 or more of the flights were on time. The probability that 12 or more of the flights were on time is Part: 3/4 Part 4 of 4 X X X (d) Using a cutoff of 0.05, would it be unusual for 13 or more of the flights to be on time? It (Choose one) be unusual for 13 or more of the flights to be on time since the probability is X

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Your flight has been delayed:** At Denver International Airport, 85% of recent flights have arrived on time. A sample of 14 flights is studied.

Round the probabilities to at least four decimal places.

---

**Part 0 / 4**

---

**Part 1 of 4**

(a) Find the probability that all 14 of the flights were on time.

The probability that all 14 of the flights were on time is \[\_\_\_\_\].

---

**Part 1 / 4**

---

**Part 2 of 4**

(b) Find the probability that exactly 12 of the flights were on time.

The probability that exactly 12 of the flights were on time is \[\_\_\_\_\].

---

**Part 2 / 4**

---

**Part 3 of 4**

(c) Find the probability that 12 or more of the flights were on time.

The probability that 12 or more of the flights were on time is \[\_\_\_\_\].

---

**Part 3 / 4**

---

**Part 4 of 4**

(d) Using a cutoff of 0.05, would it be unusual for 13 or more of the flights to be on time?

It \[(Choose one)\] be unusual for 13 or more of the flights to be on time since the probability is \[\_\_\_\_\].

---

**Explanation:**

Each part includes a progress bar indicating the completion status, with a blue bar advancing from Part 0 to Part 3 out of 4. At each step, users are prompted to calculate probabilities based on the given data about flight timeliness, focusing on interpreting binomial probabilities. Users must determine how unusual certain outcomes are relative to a specified cutoff.
Transcribed Image Text:**Your flight has been delayed:** At Denver International Airport, 85% of recent flights have arrived on time. A sample of 14 flights is studied. Round the probabilities to at least four decimal places. --- **Part 0 / 4** --- **Part 1 of 4** (a) Find the probability that all 14 of the flights were on time. The probability that all 14 of the flights were on time is \[\_\_\_\_\]. --- **Part 1 / 4** --- **Part 2 of 4** (b) Find the probability that exactly 12 of the flights were on time. The probability that exactly 12 of the flights were on time is \[\_\_\_\_\]. --- **Part 2 / 4** --- **Part 3 of 4** (c) Find the probability that 12 or more of the flights were on time. The probability that 12 or more of the flights were on time is \[\_\_\_\_\]. --- **Part 3 / 4** --- **Part 4 of 4** (d) Using a cutoff of 0.05, would it be unusual for 13 or more of the flights to be on time? It \[(Choose one)\] be unusual for 13 or more of the flights to be on time since the probability is \[\_\_\_\_\]. --- **Explanation:** Each part includes a progress bar indicating the completion status, with a blue bar advancing from Part 0 to Part 3 out of 4. At each step, users are prompted to calculate probabilities based on the given data about flight timeliness, focusing on interpreting binomial probabilities. Users must determine how unusual certain outcomes are relative to a specified cutoff.
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