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When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let X = the number of defective boards in a random sample of size? = 25.
a. Determine P(X ? 3).
b. Determine P(X ? 8).
c. What is the probability that exactly 5 of the 25 boards are defective (i.e., P(X = 5))?
d. Calculate the expected value and variance of X.
A nationwide sample of influential Republicans and Democrats was asked as part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur-coal could be burned in coal fired power plants.
Harrington Health Food stocks 5 loaves of Neutro-Bread. The probability distribution for sales of Neutro-Bread is listed in following table. How many loaves will Harrington sell on average?
For a sample of 11 independent observations from a normal distribution of unknown μ and unknown variance σ 2 , the sample mean is 74.6 and sample variance is 2.2. What is the lower point of the 90% confidence interval for μ?
Let X be a random variable of the continuous type that has pdf f(x). If m is the unique median of the distribution of X and b is a real constant, show that E(X - bl) = E(X - ml) + 2 [(b - x)f(x) £lx, provided that the expectations exist.
If we assume that the lifetime of this type of bulb has a standard deviation of 400 hours, can we conclude at the 5% significance level that the claim is true.
Computer-generated output indicates that the p-value for the sample is 0.01. Carefully interpret this p-value. At what levels of significance would you reject the null hypothesis?
where p is the binomial probability of returning a completed survey, and log is the natural logarithm. The multiple logistic regression output from fitting this model is given below.
Calculate the mean and standard deviation for this set of data. Convert your answer back to dollars and cents and give the correlation value between number of beers consumed and BAC?
The post-anesthesia care area (recovery room) at St. Luke's Hospital in Maumee, Ohio, was recently enlarged. The hope was that with the enlargement the mean number of patients per day would be more than 25. A random sample of 15 days revealed the ..
How many participants would be required to ensure that a 95% confidence interval for the mean difference in the number of drinks is within two drinks of the true mean? Assumed that the standard deviation of the difference in the mean number of dri..
Assuming that these are a random sample of all publicly traded companies, construct a 95 % confidence interval for the overall noncompliance proportion.
The process standard deviation is .15, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces will be classified as defects. Round your answer to four decimal places.
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