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1. Prove that the probability of exactly n heads in 2n tosses of a fair coin is given by the product of the odd numbers up to 2n - 1 divided by the product of the even numbers up to 2n.
2. Let n be a positive integer, and assume that j is a positive integer not exceed- ing n/2. Show that in Theorem 3.5, if one alternates the multiplications and divisions, then all of the intermediate values in the calculation are integers. Show also that none of these intermediate values exceed the final value.
The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes.
An aircraft manufacturer is attempting to determine if the average leg length of the adult male has changed from 44". A sample of 81 men was selected randomly
Let x be the weight of a fawn in kilograms. Convert the following x interval to a z interval. Round to the nearest hundredth.
Find the probability that a randomly selected bolt can be used (either immediately or after being cut). Find the probability that fewer than 15 out of 20 bolts can be used.
Determine the completion time and standard deviation (σ) for project roundoff the standard deviation to the nearest hundredth: two decimal places.
Descriptive and inferential statistics as well as generally accepted continuous quality improvement (CQI) tools, i.e., charts, tables, and graphs, for evaluation purposes - Please provide a report that the data presents to exective leadership.
Create the box plot to represent data. Explain the distribution. Ensure to recognize the first and third quartiles and median.
Test the claim that the mean body mass index (BMI) of men is equal to the mean BMI of women. Use the data to the right to test this claim.
If you were designing a study which group, a population or a sample, would you gather data from and why? Provide an explanation regarding whether or not the standard deviation is a biased or unbiased estimate.
Find a 95% confidence interval for the mean of all drinks dispensed by this machine if a random sample of 36 drinks has an average content of 2.25 deciliters.
1. Chebyshev's vs. the empirical theorem/rule.
a manufacturer claims that the batteries it makes will last 18 hours with a standard deviation of 1.5 hours. if the
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