Question

Over a period of three months during one year, an airline's rate of involuntarily denying boarding was 0.95 per 10,000 passengers. Complete parts (a) through (c) below. a. What is the probability that in the next 10,000 passengers, there will be no one involuntarily denied boarding? The probability that there will be no one involuntarily denied boarding is (Round to four decimal places as needed.) b. What is the probability that in the next 10,000 passengers, there will be at least one person involuntarily denied boarding? The probability that there will be at least one person involuntarily denied boarding is (Round to four decimal places as needed.) c. What is the probability that in the next 10,000 passengers, there will be at least two persons involuntarily denied boarding? The probability that there will be at least two persons involuntarily denied boarding is (Round to four decimal places as needed.)

          Over a period of three months during one year, an airline's rate of involuntarily denying boarding was 0.95 per 10,000 passengers. Complete parts (a) through (c) below.
a. What is the probability that in the next 10,000 passengers, there will be no one involuntarily denied boarding?
The probability that there will be no one involuntarily denied boarding is 
(Round to four decimal places as needed.)
b. What is the probability that in the next 10,000 passengers, there will be at least one person involuntarily denied boarding?
The probability that there will be at least one person involuntarily denied boarding is 
(Round to four decimal places as needed.)
c. What is the probability that in the next 10,000 passengers, there will be at least two persons involuntarily denied boarding?
The probability that there will be at least two persons involuntarily denied boarding is 
(Round to four decimal places as needed.)

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Over a period of three months during one year, an airline's rate of involuntarily denying boarding was 0.95 per 10,000 passengers. Complete parts (a) through (c) below.
a. What is the probability that in the next 10,000 passengers, there will be no one involuntarily denied boarding?
The probability that there will be no one involuntarily denied boarding is
(Round to four decimal places as needed.)
b. What is the probability that in the next 10,000 passengers, there will be at least one person involuntarily denied boarding?
The probability that there will be at least one person involuntarily denied boarding is
(Round to four decimal places as needed.)
c. What is the probability that in the next 10,000 passengers, there will be at least two persons involuntarily denied boarding?
The probability that there will be at least two persons involuntarily denied boarding is
(Round to four decimal places as needed.)

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert David Nguyen

02/09/2022

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Step 1: Calculate the probability that in the next 10,000 passengers, there will be no one involuntarily denied boarding. Show more…

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Over a period of three months during one year, an airline's rate of involuntarily denying boarding was 0.95 per 10,000 passengers. Complete parts (a) through (c) below: (a) What is the probability that in the next 10,000 passengers, there will be no one involuntarily denied boarding? The probability that there will be no one involuntarily denied boarding is (Round to four decimal places as needed): (b) What is the probability that in the next 10,000 passengers, there will be at least one person involuntarily denied boarding? The probability that there will be at least one person involuntarily denied boarding is (Round to four decimal places as needed): (c) What is the probability that in the next 10,000 passengers, there will be at least two persons involuntarily denied boarding? The probability that there will be at least two persons involuntarily denied boarding is (Round to four decimal places as needed):

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Transcript

00:01 Hi, i'm david and i'm here to help me answer your question.

00:03 Now let me bring up your question here.

00:06 In this question we'll discuss about the binomial distribution.

00:10 Let me remind you that if we have the x followed by the binomial with the n and the b, and then the probability of the x equal to k, equal to n choose k, b power k, times 1 minus b, power n minus k in this question here we're given that the rate denying the boarding was 0 .97 per 10 ,000 passengers so it would be the probability of the deny it will equal to the 0 .97 divided by the 10 ,000 and then we will have doesn't equal to the 0 -0 -1 -2 -3 -4 -97 so let me see it will be let me make sure it will be correct here 0197 divided by 10 ,000 equal to the 5 -0 here 1 2 -3 -4 so we have another 0 here 97 that would be the probability the deny and now we will have the sample n equals to the 10 ,000 and if we call the x equal to the number of the pupil that are denied and then we see x it will follow by the binomial with the n equal to the 10 ,000 and p equals to the 1 0 097 and then in the question i want to find the probability that there will be no involuntarily denied body.

02:10 So i want to find the probability of the x, it would equal to the 0.

02:16 So this one by formula here, we get equal to the 10 ,000, and then to 0, and then we have 0.

02:28 0 .97 pounds 0, and then 1 minus.

02:36 0 .000097 power 110 ,000.

02:44 And if we compute this one, we'll get the answer.

02:48 So let me do here for you.

02:51 Now we will have the probability of the success.

02:56 It will equal to the 0 .097.

03:04 The trial will be the 10 ,000.

03:09 And here we will have this one will be the 0 .000.

03:13 So get equal to the 0 .907, 6.

03:20 And arrow to the 4 decimal places here...

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