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You are head of risk management for the Norne Corporation. Due to the size of your company, you feel comfortable purchasing interests in highly risky projects. At the moment, you must consider five projects, each with a 1/5 probability of paying off, in which case the profit is 500% (i.e. an investment of $1M yields a collectible payback of $6M). Assume the projects are statistically independent of one another. If you choose to invest $1M in each of the five projects, what is the probability of making money on the five projects as a whole?
What hypothesis testing procedure would you use in the following situations? Explain your reasons, including assumptions and limitations for selecting the procedure.
What is the standard error of the difference between the means?
A civil service exam is given to 200 job applicants. In recent years, grades have followed a normal distribution with mean 66.5 and variance 100. The grades of the job applicants are distributed as follows:
A small pilot study is being conducted to determine the association between maternal age and birth weight. First, from all the single births in 2009 at Hospital X with mothers aged ? 20 years, we randomly selected 15 records.
Separately choose at random 2 of those under 21 to interview about attitudes toward alcohol. You have given every student at the party the same chance to be interviewed: what is that chance?
Find the discrete probability distribution for the random variable X and compute the corresponding mean and standard deviation.
the lifetimes in years of a certain kind of electronic component is a random variable having probability density
Solve the following problem for distribution with a mean 80 and standard deviation of 10. Find out at least what percentage of values will fall between 60 and 100.
Find the point estimate of the population mean, calculate Standard deviation/√n and calculate Z (subscript-alphasymbol/2) interval for the 95% confidence level.
Three coins are tossed simultaneously, consider the event E "Three heads or three tails" F " At least two heads" and G "Atmost two heads " of the pairs (E,F), (E,G) and (F,G), which are independent? Which are dependent?
We considered Mary's interest in doing a study to see if learning of 6th graders on a math lesson is affected by background noise level. She was planning to use 2 noise conditions and then analyze her outcomes using a t-test for independent groups..
The manufacturer of Feel Better aspirin advertises that 60% of pediatricians recommend Feel Better for children under twelve. Safe and Sound, a rival manufacturer
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