Simplified stock market. Suppose there are three kinds of days: GOOD, GREAT, and ROTTEN. The following table gives the frequency of each of these types of days and the effect on the price of a certain stock on that day.Type of day Frequency Change in stock valueGOOD60%10%+2+5GREAT-4ROTTEN30%The type of a given day is independent of the type of any other day. Let X be the random variable giving the change in value of the stock after 1 day. Please answer:a. What is the expected change in the stock price? (That is, find E(X).)b. Calculate Var(X).NOTE: Give your answer to two decimal places (i.e., round to the nearest hundredths)

Answered: Image /qna-images/answer/c737c381-dfb4-4611-86e0-48b565c7772f.jpg

Answered: Simplified stock market. Suppose there…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Example 10.13 It has been found that 7 per cent of the tools manufactured by a factory are defective. What is the probability that in a shipment of 625 such tools (a) 8 per cent or more, and (b) 7 per cent or less will be defective?
Example 2.3.22 A room has 3 electric lamps. From a collection of 10 electric bulbs, of which 6 are good, 3 are selected at random and put in the lamps. Find the probability that the room is lighted.
A and B are events. Use the following data to answer the following questions. P(A)=0.60 P(B)=0.40 P(B/A)=0.40 P(AC) P(A AND B) P(A OR B)
part 2 question 2 A recent survey revealed that 37 % of College students exercise regularly. If 5 College students are selected at random, what is the probability that all of them exercise regularly? If 4 students are selected randomly, what is the probability that at least one of them exercises regularly?
Example 4 : A manufacturer knows that the condensers he makes contain on average 1% defectives. He packs them in boxes of 100. What is the probability that a box picked at random will contain 3 or more faulty condensers ?
Example 2.3.26 The probability that a dealer will sell at least 20 televisions in a day is 0.45 and the probability that he will sell less than 24 televisions is 0.74. What is the probability that he will sell 20, 21, 22 and 23 televisions during the day?
A certain style of shoes made by a company comes in blue, red, black, and white. From experience, the company knows the blue shoes are the most popular with 33% of the sales. This is followed by the red and black shoes respectively with sales of 26% and 25% for this style of shoes. The probability is ____________________ that for 10 randomly selected orders that 3 would be for the blue shoes, 2 for the red shoes, 1 for the black shoes, and the remaining orders for the white shoes.
Example 2.17 Of the voters in a city, 40% are Republicans and 60% are Democrats. Among the Republicans 70% are in favor of a bond issue, whereas 80% of the Democrats favor the issue. If a voter is selected at random in the city, what is the probability that he or she favor the bond issue?
Blood Types and Rh Factors In addition to being grouped into four types, human blood is grouped by its Rhesus (Rh) factor. Consider the figures below that show the distributions of these groups for Americans. A B АВ Rh + 37% 34% 10% 4% Rh - 6% 6% 2% 1% Source: www.infoplease.com Send data to Excel Choose 1 American at random. Find the following probabilities. Enter your answers as decimals rounded to 3 decimal places.
Example 2.3.28 A lot contains 20 articles. The probability that the lot contains exactly 2 defective articles is 0.4, and the probability that it contains 3 defective articles is 0.6. The articles are drawn one-by-one at random, and without replacement and they are tested till all defectives are found. What is the probability that the testing procedure ends at the twelfth testing?
Human Blood Types Human blood is grouped into four types. The percentages of Americans with each type are listed below. O 43% A 40% B 10% АВ 7% Send data to Excel Choose one American at random. Find the probabilities of the following. Part 1 of 3 (a) Has type O blood The probability that a random American has type 0 blood is 0.53 %. Correct Answer: The probability that a random American has type O blood is 43%. Part: 1 / 3 Part 2 of 3 (b) Has type A or AB The probability that a random American has type A or AB is %.
If E and F are independent events with P(E)=0.4 and P(E or F) = 0.6,then find P(F). a. 0.56 b. 0.33 c. 0.24 d. 0.64

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