# An airplane has 100 seats for passengers. Assume that the

## Problem 1SE Chapter 4

Statistics for Engineers and Scientists | 4th Edition

• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Statistics for Engineers and Scientists | 4th Edition

4 5 0 331 Reviews
29
2
Problem 1SE

An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0.90. If the airline sells 105 tickets, what is the probability that everyone who appears for the flight will get a seat?

Step-by-Step Solution:
Step 1 of 3

Solution 1SE

Step1 of 3:

We have An airplane and it has 100 seats of passengers.

Assume that the P( a person holding a ticket appears for the flight) = 0.90.

That is x = 100 p = 0.90.

We need to the probability that everyone who appears for the flight will get a seat when the airline sells 105 tickets.

Step2 of 3:

Here X be the random variable it represents the number of people out of 105 who appear for the flight. That is n = 105.

Let X follows binomial distribution with parameters “n and p ”.

Then the probability mass function of binomial distribution is given by:

, x = 0,1,2,...,n.

Where,

n = sample size

x = random variable

p = probability of success

q = 1 - p (probability of failure)

= 1 - 0.90

= 0.10

Now,

1).Mean of the binomial distribution is

=

= 94.5

Hence, = 94.5.

2).Standard deviation of binomial distribution is

=

=

...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

The full step-by-step solution to problem: 1SE from chapter: 4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 1SE from 4 chapter was answered, more than 357 students have viewed the full step-by-step answer. This full solution covers the following key subjects: appears, Probability, Flight, passengers, everyone. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4th. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0.90. If the airline sells 105 tickets, what is the probability that everyone who appears for the flight will get a seat?” is broken down into a number of easy to follow steps, and 44 words.

#### Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

An airplane has 100 seats for passengers. Assume that the

×
Log in to StudySoup
Get Full Access to Statistics For Engineers And Scientists - 4th Edition - Chapter 4 - Problem 1se

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Statistics For Engineers And Scientists - 4th Edition - Chapter 4 - Problem 1se
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Already have an Account? Is already in use
Incorrect Password The password used to log in with this account is incorrect

Forgot password? Reset it here
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://studysoup.com/tsg/19476/statistics-for-engineers-and-scientists-4th-edition-chapter-4-problem-1se", "fetch_time": 1576032770000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2019-51/segments/1575540529745.80/warc/CC-MAIN-20191211021635-20191211045635-00060.warc.gz", "warc_record_offset": 543128779, "warc_record_length": 12437, "token_count": 899, "char_count": 3705, "score": 4.25, "int_score": 4, "crawl": "CC-MAIN-2019-51", "snapshot_type": "latest", "language": "en", "language_score": 0.9146354794502258, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00015-of-00064.parquet"}