Formula for binomial distribution
A safety engineer claims that 3 in 12 automobile accidents are due to driver fatigue. Using the formula for Binomial Distribution find the probability that at least 2 of 5 automobile accidents are due to driver fatigue.
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A report states that 46% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 3% with 99% confidence?
Suppose the amount of cosmic radiation to which a person is exposed folows normal distributioin with a mean 5.853 and standrad deviation 1.361. What is the probability that the person will be exposed to more than 8.625 units of cosmic radiation?
The number of monthly breakdowns of a computer is a random variable having Poisson distribution with lambda=1.8. Use Poisson distribution formula to find the probability that there will be at most four breakdowns.
The article indicated that 600 FBI agents were required to take a polygraph test. Consider the random variable x = number of the 600 tested who fail. If all 600 agents tested are trustworthy, what are the mean and standard deviation of x?
Find the margin of error for mu(mew), if x-bar = 50, n= 16, s= 12 and c= 90.
The number of students who belong to the dance company at each of several randomly selected small universities is shown below. Estimate the true population mean size of a university dance company with 99% confidence. Show step by step.
The number of unhealthy days based on the AQI (Air Quality Index) for a random sample of metropolitan areas is shown. Construct a 98% confidence interval based on the data. Show step by step.
A researcher wishes to be 99% confident that her estimate of the true proportion of individuals who travel overseas is within 4% of the true proportion. Find the sample size necessary if in a prior study, a sample of 200 people showed that 40 trav
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