Please solve question 6. 1,2,3,and 4.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please solve question 6. 1,2,3,and 4.
3)- Researchers at the Massachusetts Institute of Technology (MIT) studied the spectroscopic properties of main-belt asteroids having diameters smaller
than 10 kilometers. Asteroids were observed with the Hiltner telescope at MIT Observatory; the number N of independent spectral image exposures for
each observation was recorded. The data for 40 asteroid observations, obtained from Science (April, 9, 1993), are listed here.
Number of Independent Spectral Image Exposures for 40 Asteroid Observations
4
3
3
1
4
3
1
1
4
3
3
2
6
1
1
3
2
2
1
1
2
1
2
14
1. Use the data to generate a stem-and-leaf display
2. What relative frequency of asteroid observations resulted in exactly one spectral image exposure
Transcribed Image Text:3)- Researchers at the Massachusetts Institute of Technology (MIT) studied the spectroscopic properties of main-belt asteroids having diameters smaller than 10 kilometers. Asteroids were observed with the Hiltner telescope at MIT Observatory; the number N of independent spectral image exposures for each observation was recorded. The data for 40 asteroid observations, obtained from Science (April, 9, 1993), are listed here. Number of Independent Spectral Image Exposures for 40 Asteroid Observations 4 3 3 1 4 3 1 1 4 3 3 2 6 1 1 3 2 2 1 1 2 1 2 14 1. Use the data to generate a stem-and-leaf display 2. What relative frequency of asteroid observations resulted in exactly one spectral image exposure
6)- For the asteroid data of Problem 3,
1. Calculate the sample mean, range and standard deviation
2. Construct the interval 1) mean t standard deviation, 2) mean ± 2*standard deviation, 3) mean + 3'standard deviation. [Hint: Provide the values]
3. Count the number of observations that fall within mean ± 2'standard deviation and compare results to the empirical rule for capturing 95% of the data.
4. Generate a Boxplot for the asteroid data
7)- One game that is popular in many American casinos is roulette. Roulette is played by spinning a ball on a circular wheel that has been divided into 38
arcs of equal length; these bear the numbers 00, 0, 1, 2, ..., 35, 36. The number on the arc at which the ball comes to rest is the outcome of one play of the
Transcribed Image Text:6)- For the asteroid data of Problem 3, 1. Calculate the sample mean, range and standard deviation 2. Construct the interval 1) mean t standard deviation, 2) mean ± 2*standard deviation, 3) mean + 3'standard deviation. [Hint: Provide the values] 3. Count the number of observations that fall within mean ± 2'standard deviation and compare results to the empirical rule for capturing 95% of the data. 4. Generate a Boxplot for the asteroid data 7)- One game that is popular in many American casinos is roulette. Roulette is played by spinning a ball on a circular wheel that has been divided into 38 arcs of equal length; these bear the numbers 00, 0, 1, 2, ..., 35, 36. The number on the arc at which the ball comes to rest is the outcome of one play of the
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