Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. 1. Give a mathematical expression for the probability density function of flight time and the expected value and variance of the distribution; 2. Create a scatter graph using dynamic process learnt in the previous sessions to show the uniform probability distribution graphically, then answer the below questions: a. What is the probability that the flight will be no more than 5 minutes late? b. What is the probability that the flight will be more th

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Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from
Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly
distributed between 2 hours and 2 hours, 20 minutes.
1. Give a mathematical expression for the probability density function of flight time
and the expected value and variance of the distribution;
2. Create a scatter graph using dynamic process learnt in the previous sessions to
show the uniform probability distribution graphically, then answer the below
questions:
a. What is the probability that the flight will be no more than 5
minutes late?
b. What is the probability that the flight will be more than 10 minutes
late?
c. What is the probability that the flight will be between 4 and 8
minutes late?
d. In a month of 200 flight journeys finished, how many should have
arrived 5 minutes or less earlier?
Question 2 Normal Distribution
New York City is the most expensive city in the United States for lodging. The
mean hotel room rate is $204 per night (USA Today, April 30, 2012). Assume that
room rates are normally distributed with a standard deviation of $55.
a. Draw on a piece of paper the Normal Distribution curve and mark the
Mean and 1 unit standard deviation to each side of the Mean.

 

Can you help me with task 2. d) and can you create a scatter with all data? 

And question 2 b).

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Requirements
Question 1 Uniform Probability Distribution (60 – 70 mins)
Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from
Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly
distributed between 2 hours and 2 hours, 20 minutes.
1. Give a mathematical expression for the probability density function of flight time
and the expected value and variance of the distribution;
2. Create a scatter graph using dynamic process learnt in the previous sessions to
show the uniform probability distribution graphically, then answer the below
questions:
a. What is the probability that the flight will be no more than 5
minutes late?
b. What is the probability that the flight will be more than 10 minutes
late?
c. What is the probability that the flight will be between 4 and 8
minutes late?
d. In a month of 200 flight journeys finished, how many should have
arrived 5 minutes or less earlier?
Question 2 Normal Distribution
New York City is the most expensive city in the United States for lodging. The
mean hotel room rate is $204 per night (USA Today, April 30, 2012). Assume that
17:57
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12/03/2021
Transcribed Image Text:Seminar 4.pdf File | C:/Users/User/Desktop/Seminar%204.pdf Not syncing Q CD Page view A Read aloud E Highlight 1 of 2 Draw Erase Requirements Question 1 Uniform Probability Distribution (60 – 70 mins) Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. 1. Give a mathematical expression for the probability density function of flight time and the expected value and variance of the distribution; 2. Create a scatter graph using dynamic process learnt in the previous sessions to show the uniform probability distribution graphically, then answer the below questions: a. What is the probability that the flight will be no more than 5 minutes late? b. What is the probability that the flight will be more than 10 minutes late? c. What is the probability that the flight will be between 4 and 8 minutes late? d. In a month of 200 flight journeys finished, how many should have arrived 5 minutes or less earlier? Question 2 Normal Distribution New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night (USA Today, April 30, 2012). Assume that 17:57 P Type here to search w 12/03/2021
Seminar 4.pdf
File | C:/Users/User/Desktop/Seminar%204.pdf
Not syncing
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E CD Page view
A Read aloud
E Highlight
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Draw
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minutes iate?
d. In a month of 200 flight journeys finished, how many should have
arrived 5 minutes or less earlier?
Question 2 Normal Distribution
New York City is the most expensive city in the United States for lodging. The
mean hotel room rate is $204 per night (USA Today, April 30, 2012). Assume that
room rates are normally distributed with a standard deviation of $55.
a. Draw on a piece of paper the Normal Distribution curve and mark the
Mean and 1 unit standard deviation to each side of the Mean.
1
b. Show the Probability Density Function to your tutor and point it on your
graph.
17:58
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12/03/2021
Transcribed Image Text:Seminar 4.pdf File | C:/Users/User/Desktop/Seminar%204.pdf Not syncing Q E CD Page view A Read aloud E Highlight 1 of 2 Draw Erase minutes iate? d. In a month of 200 flight journeys finished, how many should have arrived 5 minutes or less earlier? Question 2 Normal Distribution New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night (USA Today, April 30, 2012). Assume that room rates are normally distributed with a standard deviation of $55. a. Draw on a piece of paper the Normal Distribution curve and mark the Mean and 1 unit standard deviation to each side of the Mean. 1 b. Show the Probability Density Function to your tutor and point it on your graph. 17:58 P Type here to search 12/03/2021
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