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Suppose X, the number of flaws in a roll of polyethylene insulated cable, follows a Poisson process where ? is 1.1 flaws per 4-meter length of cable.
a) What is the probability a roll of cable 16 meters in length has less than three flaws?
b) What is the probability a roll of cable 32 meters in length has exactly 5 flaws?
c) What is the expected number of flaws in a roll of cable 32 meters in length?
d) What is the standard deviation of the number of flaws in a roll of cable 32 meters in length?
In a poll of 553 voters in a certain city, 64% said the back a bill which would limit growth and development in their city. The margin of error in the poll was reported as 4 percentage points.
The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. Assume that the president is correct..
The statewide incidence of gonorrhea is 50 per 100,000 over a 3 month period. Is the number of gonorrhea cases in this county unusual for this time period?
Generate a 95% CI for the difference in proprotions of particpants reportinga reduction of symptoms between the experimental and placebo groups.
Modern aircraft engines are very reliable. One feature contributing to that reliability is the use of redundancy, where critical components are duplicated so that if one fails, the other will work.
A restaurant claims that its speed of service time is less than 18 minutes. A random selection of 36 service times was collected, and their mean was calculated to be 17.1 minutes.
use the following data to develop a multiple regression model to predict y from x1 and x2. discuss the output
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. The information is summarized below.
The average stock price for companies making up the S&P 500 is $40, and the standard deviation is $10. Assume the stock prices are normally distributed. What is the probability a company will have a stock price less than $33.
\Write down the general formula for the discrete uniform probability distribution function. Now write down the probability distribution function for the random drawing of tile numbers. Is this a discrete uniform distribution?
epidemiologists control for variables such as confounding and random error by carefully developing research studies.
Can you give a general rule as to what happens with confidence intervals as a function of sample sizes and confidence levels? What are the trade-offs?
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