Suppose that 51% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 41% end up investing in bonds, and 61%end up investing in stocks or bonds (or both). What is the probability that a person who inquires about investments at this firm will invest in both stocks andbonds?Write your answer as a decimal (not as a percentage).

It is given thatP( investing in stocks) = 51% = 0.51P( investing in bond) = 41% = 0.41P( investing…

Answered: Suppose that 51% of the people who…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A skin care company claims that 90% of its customers have seen a dramatic reduction in fine lines and wrinkles after using the company's products for three weeks. What is the probability that 8 out of 12 customers will see dramatic results? What is the probability that at least 8 customers will see these dramatic results? Does the company's claim appear to hold true if only 8 customers out of 12 experience a dramatic decrease in fine lines and wrinkles?
A capital firm has a list of potential investors who have previously invested in new technologies. On average, each investor invests in 18.3% of the technologies presented to them. An entrepreneur decides to call potential investors. If she calls 10 investors, what is the probability that exactly 6 will be interested to invest in her new technology? Round all numbers (intermediate and final) to 4 decimal places.Final answer should be with 4 decimal places (it should be a decimal number and not a percentage).
A dashboard warning light should flash red when a car's oil level is too low. Suppose on a certain model of cars, given the oil level is low, the probability of the light flashing is 99%. Suppose also that 2% of the time, this light flashes for no reason. If in fact there is a 10% chance the oil level is actually low in this car, while a 90% chance the oil level is OK. What is the probability that the oil level is actually low when the light flashes?
In one locality, it has been established that the probability that a 20-year-old man reaches 70 years is 35%, while women have 42% of reaching it. IF a 20-year-old couple is getting married today, what is the probability that they will celebrate 50 years of marriage?
7. Suppose on a given day, there is a 43% chance Emily will forget her wallet when going to work. What is the probability she forgets her wallet at least once in the next ten days she goes to work?
The research department of a commercial bank estimates that the 5% of its loans will go into default. If 15 customers who have loans with the bank are randomly selected, compute the probability that the last customer is the first to default on his or her loan.
Ryan lives in a city where there is a 30% chance of rain every single day of the year regardless of what the weather was the day before. Suppose Ryan decides to record whether or not it rains for w straight days A. What is the probability that it rains both days B. What is the Probability that it doesn't rain either day C. What is the probability that it rains both days given that it rains the first day D. What is the probability that it rains on the second day
A study done by the New York times show that the probability that an e-mail is spam to be 0.88. If a person received 20 e-mails one day . What is the probability that exactly 18 e-mails are spam. (Assume that e-mail are independent from other e-emails )
A common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight. Suppose that the percentage of no-shows at flight time is 2%. For a particular flight with 246 seats, a total of 250 tickets were sold. What is the probability that the airline overbooked this flight?
Your favorite soccer player is playing in the world cup and the match has ended in a tie. As the teams get ready for the penalty shootout, you know your favorite player will be last to shoot. A quick search tells you that your favorite player makes a goal when kicking from the penalty mark 0.80% of the time. You also know that the player before your favorite player makes a kick from the penalty mark 0.60% of the time. What is the probability that only one goal is scored between both players? Report your answer to the second decimal point, that is, 0.45 instead of 0.5.
If 5 of a company’s 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspec-tion, what is the probability that none of the trucks cho-sen will meet emission standards?
A loan officer knows that 18% of the bank’s mortgage holders will lose their jobs anddefault on their loan in the course of 5 years. She also knows that 22 % of the banksmortgage holders will lose their job within this period. Given that one of the mortgageholders just lost their jobs what is the probability that he will now default on the loan?

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