Binomial Distribution Calculatc Ayla Ozturk HW Score: 62.5%, 5 of 8 points Question 6, 6.2.35-T Part 2 of 9 Homework: Section 6.2 O Points: 0 of 1 According to an airline, flights on a certain route are on time 85% of the time. Suppose 10 flights are randomly selected and the on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 7 flights are on time. (c) Find and interpret the probability that fewer than 7 flights are on time. (d) Find and interpret the probability that at least 7 flights are on time. of (e) Find and interpret the probability that between 5 and 7 flights, inclusive, are on time. of YE. The experiment is performed a fixed number of times. The experiment is performed until a desired number of successes is reached. y of G. The probability of success is the same for each trial of the experiment. y of (b) The probability that exactly 7 flights are on time is (Round to four decimal places as needed.) Help me solve this View an example Get more help. Check ans eakfast Favorites You Want for Just $8.99. Random Nur Sample Size Applebee's Grill + Bar Correlation Co Adventure Park Chuck E. Cheese e info Critical Value X Homework P Do Homework - Section 6.2 - Google Chrome mylab.pearson.com Math 021 Summer 2022 GREEN ACRES (198) Directions lamp liter inn. Savo Mat Clear all 06/13/22 11:12 P
Binomial Distribution Calculatc Ayla Ozturk HW Score: 62.5%, 5 of 8 points Question 6, 6.2.35-T Part 2 of 9 Homework: Section 6.2 O Points: 0 of 1 According to an airline, flights on a certain route are on time 85% of the time. Suppose 10 flights are randomly selected and the on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly 7 flights are on time. (c) Find and interpret the probability that fewer than 7 flights are on time. (d) Find and interpret the probability that at least 7 flights are on time. of (e) Find and interpret the probability that between 5 and 7 flights, inclusive, are on time. of YE. The experiment is performed a fixed number of times. The experiment is performed until a desired number of successes is reached. y of G. The probability of success is the same for each trial of the experiment. y of (b) The probability that exactly 7 flights are on time is (Round to four decimal places as needed.) Help me solve this View an example Get more help. Check ans eakfast Favorites You Want for Just $8.99. Random Nur Sample Size Applebee's Grill + Bar Correlation Co Adventure Park Chuck E. Cheese e info Critical Value X Homework P Do Homework - Section 6.2 - Google Chrome mylab.pearson.com Math 021 Summer 2022 GREEN ACRES (198) Directions lamp liter inn. Savo Mat Clear all 06/13/22 11:12 P
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 5E
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### Math 021 Summer 2022
#### Homework: Section 6.2
**Question 6, 6.2.35-T (Part 2 of 9)**
---
**Scenario:**
According to an airline, flights on a certain route are on time 85% of the time. Suppose 10 flights are randomly selected and the number of on-time flights is recorded.
**Questions:**
(a) Explain why this is a binomial experiment.
(b) Find and interpret the probability that exactly 7 flights are on time.
(c) Find and interpret the probability that fewer than 7 flights are on time.
(d) Find and interpret the probability that at least 7 flights are on time.
(e) Find and interpret the probability that between 5 and 7 flights, inclusive, are on time.
---
**Hints:**
1. The experiment is performed a fixed number of times.
2. The experiment is performed until a desired number of successes is reached.
3. The probability of success is the same for each trial of the experiment.
---
**Solution Framework:**
**(a)**
Explanation of why this is a binomial experiment:
- The number of trials is fixed (10 flights).
- There are only two possible outcomes for each trial (on time or not on time).
- The probability of success (an on-time flight) is the same for each trial (85% or 0.85).
**(b)**
The probability that exactly 7 flights are on time:
- Use the binomial probability formula to calculate.
**(c)**
The probability that fewer than 7 flights are on time:
- Use the cumulative binomial probability formula or subtract the probabilities of having more than 7 flights on time from 1.
**(d)**
The probability that at least 7 flights are on time:
- Use the cumulative binomial probability formula or subtract the probabilities of having fewer than 7 flights on time from 1.
**(e)**
The probability that between 5 and 7 flights, inclusive, are on time:
- Calculate the individual probabilities for 5, 6, and 7 flights being on time and sum them up.
The binomial probability formula is:
\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \]
where:
- \( n \) is the number of trials](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8afcda2-9435-43f7-909f-aa83e0c1cdb5%2F58eea657-249f-4f80-9b48-0a0525d62c16%2Fq3oiff3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
### Math 021 Summer 2022
#### Homework: Section 6.2
**Question 6, 6.2.35-T (Part 2 of 9)**
---
**Scenario:**
According to an airline, flights on a certain route are on time 85% of the time. Suppose 10 flights are randomly selected and the number of on-time flights is recorded.
**Questions:**
(a) Explain why this is a binomial experiment.
(b) Find and interpret the probability that exactly 7 flights are on time.
(c) Find and interpret the probability that fewer than 7 flights are on time.
(d) Find and interpret the probability that at least 7 flights are on time.
(e) Find and interpret the probability that between 5 and 7 flights, inclusive, are on time.
---
**Hints:**
1. The experiment is performed a fixed number of times.
2. The experiment is performed until a desired number of successes is reached.
3. The probability of success is the same for each trial of the experiment.
---
**Solution Framework:**
**(a)**
Explanation of why this is a binomial experiment:
- The number of trials is fixed (10 flights).
- There are only two possible outcomes for each trial (on time or not on time).
- The probability of success (an on-time flight) is the same for each trial (85% or 0.85).
**(b)**
The probability that exactly 7 flights are on time:
- Use the binomial probability formula to calculate.
**(c)**
The probability that fewer than 7 flights are on time:
- Use the cumulative binomial probability formula or subtract the probabilities of having more than 7 flights on time from 1.
**(d)**
The probability that at least 7 flights are on time:
- Use the cumulative binomial probability formula or subtract the probabilities of having fewer than 7 flights on time from 1.
**(e)**
The probability that between 5 and 7 flights, inclusive, are on time:
- Calculate the individual probabilities for 5, 6, and 7 flights being on time and sum them up.
The binomial probability formula is:
\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \]
where:
- \( n \) is the number of trials
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