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?
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?
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.
The television show Ghost Whistler has been successful for many years. That show recently had a share of 21, which means, that among the TV sets in use, 21% were tuned to Ghost Whistler. An advertiser wants to verify that 21% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a Ghost Whistler broadcast.Find the probability that none of the households are tuned to Ghost Whistler.P(none) = Find the probability that at least one household is tuned to Ghost Whistler.P(at least one) = Find the probability that at most one household is tuned to Ghost Whistler.P(at most one) = If at most one household is tuned to Ghost Whistler, does it appear that the 21% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Ghost Whistler unusual?) yes, it is wrong no, it is not wrong
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.55. (a) What is the probability that he must stop at both signals? (b) What is the probability that he must stop at the first signal but not at the second one? (c) What is the probability that he must stop at exactly one signal?
Suppose that in England 37% of house purchases fall through and, of those house purchases that fall through, 19% involve buyers who are first-time buyers. Further suppose that overall 23% of all buyers are first time buyers. Use this information to calculate the probability that a first-time buyer's house purchase falls through.
The television show Ghost Whistler has been successful for many years. That show recently had a share of 18, meaning that among the TV sets in use, 18% were tuned to Ghost Whistler. Assume that an advertiser wants to verify that 18% share value by conducting its own survey, and a pilot survey begins with 14 households have TV sets in use at the time of a Ghost Whistler broadcast.Find the probability that none of the households are tuned to Ghost Whistler.P(none) = Find the probability that at least one household is tuned to Ghost Whistler.P(at least one) = Find the probability that at most one household is tuned to Ghost Whistler.P(at most one) = If at most one household is tuned to Ghost Whistler, does it appear that the 18% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Ghost Whistler unusual?)

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