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1. A failure time T is uniformly distributed on the interval [0,10]. There is a constant interest rate of zero. An annuity provides for continuous payments at the rate of t at time t, provided that failure has not yet occurred. Find the expectation and variance of the present value of the benefits.
2. A 4-year pure endowment contract on (60) provides for 1000 paid at age 64 if (60) is then alive. Nothing is paid if death occurs before age 64. This is purchased by four level annual premiums of 100. You are given that q60 = 0.1, q61 = 0.2, q62 = 0.25, q63 = 0.30, and the interest rate i is a constant 25%. Write down the exact distribution of 1L. Use this to find 1V.
question trains arrive at a station at the rate of 25 per hour.a what is the probability that the time between trains
in a large population 95 of the households have cable tv. a simple random sample of 64 households is to be contacted
most video games have several difficulty settings from easy to hard many of these have very colorful names. a video
Students in the social work course received the following course grades. Create a frequency distribution for this data. Compute the mean. Determine the median.
Find the mean, median, mode, sample variance, and range. Do you think that this sample might have come from a normal population? Why or why not?
a government official wants to find out how many people will vote for each party in a coming election. she asks a
For the past 20 years, the high temperature on April 15th has averaged (j = 62 degrees with a standard deviation of a = 8. Last year, the high temperature was 66 degrees.
What is the sample size for this poll? That's a much larger sample than standard sample surveys. In spite of this, we can't trust the result to give good information about any clearly defined population. Why?
suppose 1657 of 2006 registered voters sampled said they planned to vote for the republican candidate for president.
Is there significant evidence that this production run doesn't meet specifications? Use a 1% level of significance.
What is meant by perfect multicollinearity? What is its effect and what is meant by high, but not perfect, multicollinearity? What problems may result?
Assuming that the variability is unchanged (i.e., σ = 6), is there sufficient evidence to suggest that the strength of the product has increased at the 1% level of significance?
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