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A dishwasher has a mean life of 10 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013). Assume the life of a dishwasher is normally distributed.
a.) State the random variable.
b.) Find the probability that a dishwasher will last more than 15 years.
c.) Find the probability that a dishwasher will last less than 6 years.
d.) Find the probability that a dishwasher will last between 8 and 10 years.
e.) If you found a dishwasher that lasted less than 6 years, would you think that you have a problem with the manufacturing process? Why or why not?
f.) A manufacturer of dishwashers only wants to replace free of charge 5% of all dishwashers. How long should the manufacturer make the warranty period?
Prove that if X ⊆ Rn is a compact set that is homeomorphic to a convex and compact set Y and if f : X → X is a continuous function, then f has a fixed point.
A random sample of 22 service times (in minutes) gives s-square = 8. Give a 95% confidence interval for the variance of service time at the bank.
A pharmaceutical company wants o test a new cholesterol drug. The average cholesterol of the target population is 200 mg and they have a standard deviation of 25 mg. The company wished to test a sample of people who fall between 1.5 and 3.0 z sco..
The condition for the question is that the deck of cards has 52 cards and among them are 12 face cards. What is the probability of choosing 6 face cards out of 8 chosen. Thru Binomial distribution holds( meaning with replacement)
In fact the results are more significant than "P
Construct the indicated confidence intervals for the population variance : c=0.99, S2 = 0.64, n=7 - a sample of 16 residents has a mean household income of $44,400 and a standard deviation of $8,600. At a=0.1, can you support the personnel director..
Shakespeare The histogram below shows the distribution of lengths of words used in Shakespeare's plays. Describe the shape, center, and spread.
You're asked to determine whether the workers live in the community. Your personnel department provides the following table:
The cholesterol levels of a population have a normal distribution with a mean of 160 and a standard deviation of 30 how you I find the percentage of the population with cholesterol levels above 200.
A random sample of 40 part time workers has a mean annual earnings of $3120 and a population standard deviation of $677. Compute the 95% confidence interval for the mean.
Using z-scores, a population with m = 37 and s = 6 is standardized so that the new mean is m = 50 and s = 10. How does an individual's z-score in the new distribution compare with his/her z-score in the original population?
Find a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community.
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