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Find the probability that Marys total worth reaches $3000 at some point. (We assume here that Mary has to quit playing if she goes bankrupt so this is a gamblers ruin problem.) (c) Now suppose Mary has a rich aunt who constantly resupplies her with $1500 whenever she happens to go bankrupt. Now what is the probability that her total worth reaches $3000 at some point? (d) Suppose there is no rich aunt but we enable Mary to play indenitely by letting her go arbitrarily deep into debt. Now what is the probability that her total worth manages to reach $3000? Why is this answer dierent from your answer in (c)?
Test the claim that the mean age of people in the United States who would say yes to the survey question shown in the table is 60 years or older.
Five have a 3/10,000 chance for failure. Four have a 4/10,000 chance for failure. One componet has a 1/100 chance for failur. What is the overall reliability of the product?
Using the 0.05 level of significance, is there evidence that the population mean is above $300? What is your answer in (a) if s = $90 and the 0.10 level of significance is used?
Discuss the role of sensitivity analysis in LP. Under what circumstances is it needed, and under what conditions do you think it is necessary?
It is known that 6.3 percent of students who applied to UTC were not accepted. Determine the highest score of those who were denied acceptance?
A survey of 600 non-fatal accidents showed that 111 involved the use of a cell phone. Find a point estimate for p, the population proportion of accidents that involved the use of a cell phone.
Provide an example of a situation from your personal or professional experience where an two-sample test of hypothesis of dependent samples would be useful in a decision-making process.
A nurse reading this finding knows that the researcher should decide that there is not enough information to decide on statistical significance.
The company can alter the standard deviation. Use a sketch to decide how the company can proceed if they want to reduce this proportion by changing the standard deviation.
If the sample size (n) is large, and the sample is a random sample, then the distribution of the sample mean x-bar is approximately a:
By using the normal probability distribution, what is the probability the car will be repaired in 35 minutes or less?
Committee were chosen from among the workers without regard to gender: Does this represent a binomial random distribution? Why?
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