Reference no: EM131009043
1. Side effects. Researchers testing a new medication find that 7% of users have side effects. To how many pa- tients would a doctor expect to prescribe the medication before finding the first one who has side effects?
2. Credit cards. College students are a major target for ad- vertisements for credit cards. At a university, 65% of students surveyed said they had opened a new credit card account within the past year. If that percentage is accurate, how many students would you expect to survey before finding one who had not opened a new account in the past year?
3. Missing pixels. A company that manufactures large LCD screens knows that not all pixels on their screen light, even if they spend great care when making them. In a sheet 6 ft by 10 ft (72 in. by 120 in.) that will be cut into smaller screens, they find an average of 4.7 blank pixels. They be- lieve that the occurrences of blank pixels are independent. Their warranty policy states that they will replace any screen sold that shows more than 2 blank pixels.
a) What is the mean number of blank pixels per square foot?
b) What is the standard deviation of blank pixels per square foot?
c) What is the probability that a 2 ft by 3 ft screen will have at least one defect?
d) What is the probability that a 2 ft by 3 ft screen will be replaced because it has too many defects?
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Evaluate the transitional services available for your state
: Analyze the services a person with exceptionalities might require as he or she transitions through adolescence to adulthood. Evaluate the transitional services available for your state. Be sure to list the Web sites and names of the agencies provi..
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Find the dimensions of a rectangular garden
: Assume that you want to find the dimensions of a rectangular garden of 100 square meters for which the amount of fencing needed to surround the garden is as small as possible.
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What is the rate when r is equal to three
: The area of a sector in a circle is given by the formula: A=1/2r2θ, where r is the radius and θ is the central angle measured in radians. Find the rate of change of A with respect to θ if r remains constant. What is the rate when r=3?
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Determine the percentage errors in q
: Calculate the heat (kJ) required to raise the gas temperature from 25°C to 1000°C if the heating takes place at constant volume (i.e., if the piston does not move), retaining successively one term, two terms, and all three terms of the heat capaci..
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Side effects-credit cards
: Researchers testing a new medication find that 7% of users have side effects. To how many pa- tients would a doctor expect to prescribe the medication before finding the first one who has side effects?
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Computer chip manufacturer
: Suppose a computer chip manufacturer rejects 2% of the chips produced because they fail presale testing. Assuming the bad chips are inde- pendent, find the probability of each of the following.
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Presentation on his fourth attempt
: A salesman normally makes a sale (closes) on 80% of his presentations. Assuming the presentations are independent, find the probability of each of the following. a) He fails to close for the first time on his fifth attempt. b) He closes his first p..
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Potential customers to determine their color preference
: Bernoulli, part 2. Can we use probability models based on Bernoulli trials to investigate the following situations? Explain. a) You are rolling 5 dice. How likely is it to get at least two 6's to win the game? b) You survey 500 potential customers to..
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Probability models based on bernoulli trials
: Bernoulli. Can we use probability models based on Bernoulli trials to investigate the following situations? Explain. a) Each week a doctor rolls a single die to determine which of his six office staff members gets the preferred parking space.
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