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1. What is a discrete probability distribution? Explain in your own words.
2. What conditions must be satisfied by the probabilities in a discrete probability distribution? Explain what these conditions mean.
3. Describe how to compute the mean (or expected value) of a discrete random variable, and interpret what this quantity tells us about the observed values of the random variable.
4. Describe how to compute the standard deviation of a discrete random variable, and interpret what this quantity tells us about the observed values of the random variable.
Dealt five cards sequentially numbered 1,2,3,4, and 5 from a shuffled deck. let E_i denote the event that the i^th card dealt is even numbered. That is, E_1 denotes the event that the first card drawn is even numbered. a. What is P(E_2|E_1), the prob..
What are the chances of getting 15 days of rain during the next 30 days and what do you think about Joe's assumptions concerning the weather for the next 30 days?
Pharmaceutical companies perform tests to make sure the products they produce are safe. One test is to make sure that the drugs has 100% potency, so the mean is 100%. Let's say for a particular tablet product that the production process has a populat..
Why is it important for a security professional to know specifics about the particular target environment to which they are assigned? How can experienced security professionals prepare themselves for challenges and opportunities they have never encou..
However, the company recently installed a just-in-time system in which suppliers are linked more closely to the manufacturing process. A random sample of 118 deliveries since the just-in-time system was installed reveals that 22 deliveries were late...
A population standard deviation
1. Suppose we want to estimate the mean BMI for women in pregnancy at 20 weeks gestation. If we have a sample of 100 women and measure their BMI at 20 weeks gestation, what is the probability that the sample mean is within 1 unit of the true BMI if t..
A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. The differences in th..
The television networks often compete on the evening of the day of an election to be the first to identify the winner of the election correctly. One of the techniques often used is the random sampling of voters as they exit the polling booths. Suppos..
What are some of the main uses of a regression analysis
A bank branch located in a residential area has developed an improved process for serving customers during noon to 1:00 P.M lunch period. The waiting time in minutes (defined as time the customer enters the line to time he or she reaches the teller w..
A sociologist wants to find the relationship between attitude toward women's right (numerical variable with range 0-100), age of the respondent in years, gender, and level of education (less than high school, some college, bachelor's degree or higher..
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