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
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
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
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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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
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12/03/2021
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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.
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12/03/2021
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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