Question

In: Statistics and Probability

he following variable (X) represents the number of coupons used over a 6 month period by...

he following variable (X) represents the number of coupons used over a 6 month period by a sample of 11 shoppers:

81, 64, 71, 68, 71, 55, 62, 71, 66, 77, 61.  

Use this data to compute:

The mean, the median, the mode, the range, the variance, the standard deviation, the 80th percentile, the sum of the values of (X), and the sum of the squared deviations of each value of (X) from the mean. In addition, please explain what information is provided to us about this variable by your answers to: (1) the sample mean and (2) the sample standard deviation.

Solutions

Expert Solution


Related Solutions

The following variable (X) represents the number of coupons used over a 6 month period by...
The following variable (X) represents the number of coupons used over a 6 month period by a sample of 11 shoppers: 81, 64, 71, 68, 71, 55, 62, 71, 66, 77, 61.   Use this data to compute: The mean, the median, the mode, the range, the variance, the standard deviation, the 80th percentile, the sum of the values of (X), and the sum of the squared deviations of each value of (X) from the mean. In addition, please explain what...
The following variable (X) represents the number of coupons used over a 6 month period by a sample of 11 shoppers
The following variable (X) represents the number of coupons used over a 6 month period by a sample of 11 shoppers: 80, 63, 70, 69, 70, 54, 61, 70, 65, 76, 60. Use this data to compute: The mean, the median, the mode, the range, the variance, the standard deviation, the 80th percentile, the sum of the values of (X), and the sum of the squared deviations of each value of (X) from the mean. In addition, please explain what...
In the following table, the random variable x represents the number of laptop computers that failed...
In the following table, the random variable x represents the number of laptop computers that failed during a drop-test of six sample laptops. Use the table to answer the questions a) - e) below. x 0 1 2 3 4 5 6 P(x) 0.377 0.399 0.176 0.041 0.005 0.000 0.000 a) Find and report the mean and the standard deviation of this distribution. b) Using the range rule of thumb, identify the range of values containing the usual number of...
In the accompanying​ table, the random variable x represents the number of televisions in a household...
In the accompanying​ table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability​ distribution, find its mean and standard deviation. LOADING... Click the icon to view the data. If the table is a probability​ distribution, what is its​ mean? Select the correct choice below and fill in any answer boxes within your choice. A. Its mean is nothing....
In the accompanying​ table, the random variable x represents the number of televisions in a household...
In the accompanying​ table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability​ distribution, find its mean and standard deviation. x | P(x) 0 | 0.05 1 | 0.12 2 | 0.24 3 | 0.31 4 | 0.17 5 | 0.11 If the table is a probability​ distribution, what is its​ mean? Select the correct choice below and...
In the probability distribution to the​ right, the random variable X represents the number of hits...
In the probability distribution to the​ right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts​ (a) through​ (f) below. x ​P(x) 0 0.1685 1 0.3358 2 0.2828 3 0.1501 4 0.0374 5 0.0254 ​ (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because all of the probabilities are at least one of the probabilities is all of...
Define the random variable X to be the number of times in the month of June...
Define the random variable X to be the number of times in the month of June (which has 30 days) Susan wakes up before 6am a. X fits binomial distribution, X-B(n,p). What are the values of n and p? c. what is the probability that Susan wakes us up before 6 am 5 or fewer days in June? d. what is the probability that Susan wakes up before 6am more than 12 times?
In the table below the random variable X represents the number of people waiting in line...
In the table below the random variable X represents the number of people waiting in line at a fast food restaurant during the lunch hour. x 0 1 2 3 4 5 Probability 0.0110.035 0.285 0.304 0.239 0.126 a) Verify that this is a discrete probability distribution. b) Draw a probability histogram. c) Compute and interpret the mean of the random variable X. d) Compute the standard deviation of the random variable X. e) What is the probability that there...
The random variable X, which represents the number of cherries in a cherry pie, has the...
The random variable X, which represents the number of cherries in a cherry pie, has the following probability distribution: a) Find the mean and the variance 2 of the number of X b) Find the mean x and the variance of the mean of x̄ from a random sample of 36 countries Cherry. c) Find the probability that the average number of cherries in 36 cherry countries will be less than 5.5.
The random variable x is the number of occurrences of an event over an interval of...
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The probability that there are 8 occurrences in ten minutes is a. .0771 b. .0241 c. .1126 d. .9107
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT