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A product is made up of 20 components in a series. Ten of the components have a 1/10,000 chance of failure. Five have a 3/10,000 chance for failure. Four have a 4/10,000 chance for failure. One component has a 1/100 chance for failure. What is the overall reliability of the product?
Formulate this statement as a multiple regression model (form only, without parameter estimation).
The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50. What is the probability that a student uses fewer than 600 minutes?
What is the probability that a new cup will overflow when filled by the automatic dispenser? At what value should the mean amount dispensed by the machine be set to satisfy this wish?
Polls showed the two main candidates in the 2004 presidential election were nearly tied on the day before the election. To predict the winner a newspaper would like to have a poll that has margin of error less than 1%. Roughly how large a sample w..
Calculate the average hours of sleep per night for each sample. According to the 95 part of the 68-95-99.7 rule, 95% of all values of fall within __________ on either side of the unknown mean . What is the missing number?
If the server has 40 customers in one shift, what is the probability that her total tips are less than $250? (Assume that these 40 customers represent a simple random sample).
Test the hypotheses that the average household income in the township is greater than $100,000. Hint: Start by stating the null and alternative hypotheses.
Random sample with a normal distribution with a mean of 60,000 and standard deviation of 2300. What warranty should the company us if they want 96% of the tires to outlast the warranty?
The sample mean price is computed from the prices at these gas stations. What is the probability that the sample mean price falls within a nickel of the State's overall mean price? i.e between 3.09 and 3.19.
ph in the water is 7 at the .05 significance level. Her alternative hypothesis is that the water does not have a pH of 7. For which p-value will she fail to reject the null hypothesis?
A business owner decides to use a binomial distribution to solve one of his problems.
The average monthly gasoline purchase for a family with 2 cars is 90 gallons. This statistic has a normal distribution with a standard deviation of 10 gallons. A family is chosen at random.
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