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
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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