Conditional Probability and Random Variables

MODULE-6-RANDOM-VARIABLES [ Compatibility Mode] - Word nanettesoralde@gmail.com N X File Home Insert Draw Design Layout References Mailings Review View Help Tell me what you want to do Share MODULE 6 RANDOM VARIABLES EXERCISE # 6 DO YOU KNOW THE BASICS? Test your understanding of Chapter 6 by answering the following questions: 1. Why is the expected value of a random variable defined by the expression Zai f(a:)? 2. Why is the graph of a density function for a discrete random variable like a frequency diagram? 3. Suppose X is a random variable representing the height of a person selected at random from a population. What is its mean and variance? 4. Suppose you took a sample of 30 people and calculated their average height (A). What is E (A)? How does the variance of A compare with the variance of X? 5. Let X be a random variable, and let x be the average of several independent random variables with the same distribution as X. Why is the variance of smaller than the variance of X? 6. Why must the probabilities for a discrete random variable add up to 1? 7. What value of p makes the variance of a Bernoulli random variable as large as possible? Why? 8. If you roll a die several thousand times, the average of the numbers that appear will be close to 3.5 (according to the law of large numbers). If you find that the average after the first thousand rolls is 3.6, does this mean that you will be more likely to get values less than 3.5 in future rolls? Page 1 of 1 240 words [ English (Philippines) + 100% Type here to search m W P X N G 12 290C ~ D ( 42 ( 1)) ENG 9:04 am 16/11/2021 SMODULE-5-CONDITIONAL-PROBABILITY [Compatibility Mode] - Word nanettesoralde@gmail.com N X File Home Insert Draw Design Layout References Mailings Review View Help Tell me what you want to do Share i GET GENUINE OFFICE Your license isn't genuine, and you may be a victim of software counterfeiting. Avoid interruption and keep your files safe with genuine Office today. Get genuine Office Learn more X MODULE 5 CONDITIONAL PROBABILITY EXERCISE #5 DO YOU KNOW THE BASICS? Test your understanding of Chapter 5 by answering the following questions: 1. What is the conditional probability Pr ( A | B) if A and B are disjoint events? 2. What is the conditional probability Pr ( A | B) if A and B are independent events? 3. If the probability of getting an order from firm A is .3, and the probability of getting an order from firm B is .4, does this mean there is a probability of . 12 that you will get an order from both firms? 4. If there is a probability of .25 that firm A will build its new factory in your city, and a probability of 25 that the firm will build its new factory in the other city in your county, does this mean there is a probability of .0625 that the firm will build factories in both cities? 5. If 50 percent of the poor families in a city are single-parent families, what fraction of the single-parent families in the city are poor? What other information do you think you might need to answer the first question? Page 1 of 1 203 words [& English (Philippines) + 100% m W 290C ~ D ( 4 ( 1) ENG 9:06 am Type here to search P X N G 12 16/11/2021 S