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Provide some examples of discrete and continues variables. What attributes of these variables make them discrete and continuous? Why?
Statistics and Probability, Statistics
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Let X be a continuous random variable. Suppose that we know that Pr(X 5), and how do you know? (Hint: X is not necessarily normally distributed, but you can still consider how much area is under the curve, no matter the ...
Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7 Stock X 4%7%-2%40%0%10%-1% Stock Y 2%-5%7%4%6%11%-4% Consider a portfolio of 10% stock X and 90% stock Y. What is the (population) standard deviation of po ...
A professional baseball pitcher takes 15.66 seconds to throw each? pitch, on average. Assume the? pitcher's times per pitch follow the normal probability distribution with a standard deviation of 2.6 seconds. Complete pa ...
Metro trains in Manhattan arrive at your train station exactly every 15 minutes (i.e., the times between arrivals are 15, 15, 15, and 15 in an hour). If you just arrived at the train station at a random time, what is the ...
A coffee manufacturer is interested in the mean daily consumption of regular-coffee drinkers and decaffeinated coffee drinkers. The random sample of 50 regular-coffee drinker show a mean of 3.84 cups per day. A sample of ...
Suppose that we take a random sample of 49 people from this segment of the population. What is the probability that the mean number of days of disability of this sample will be greater than 6 days?
What is the minimum cash flow that could be received at the end of year three to make the following project "acceptable?" Initial cost = $63,000; cash flows at end of years one and two = $35,000; opportunity cost of capi ...
A STAT 200 instructor wants to know if students tend to score differently on the lesson 4 and 5 quizzes. Data were collected from a representative sample of 60 students during the Summer 2018 semester. Data were paired b ...
1940 randomly selected adults were asked if they think they are financially better off than their parents. The following table gives the two-way classification of the responses based on the education levels of the person ...
Suppose a life insurance company sells a $230,000 ?one-year term life insurance policy to a 20?-year-old female for ?$330. The probability that the female survives the year is 0.999642. Compute and interpret the expected ...
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