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You randomly call friends who could be potential partners for a dance. You think that they all respond to your requests independently of each other, and you estimate that each one s 7% likely to accept your request. Let X denote the number of calls to successfully get a date.
a) What are the distribution and parameters of X?
b) How many calls do you expect to make to get a date?
c) What is the probability you get a date on the 12th call?
d) What is the probability it takes you at least 10 calls to get a date?
e) What is the probability it takes you no more than 15 calls to get a date?
f) Given you've already called 8 people and still do not have a date, what is the probability it will take less than 14 calls?
Company A and B are battling for market share in two separate markets. Market I is worth $30 million in revenue; market II is worth $18 million.
A certain tennis player makes a successful first serve 75% of the time. Assume that each serve is independent of the others. If she serves 5 times, what's the probability she gets:
Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.
Assume that there are 10 pencils available of each color, and different children are allowed to choose the same color.
A famous hypnotist performs to a crowd of 350 students and 180 non-students. The hypnotist knows from previous experience that one half of the students and two third on the non-students are hypnotizable. What is the probability that a randomly cho..
A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random, what is the probability that it is white or black?
A recent study by Ohio State University (March 5, 2008) suggests that students with cell phones may take more risks than students that do not have cell phones.
Firm A and Firm B are the only competitors in market. Each has to decide what price to set for its product. Once prices are set, they cannot be changed for year. Both companies set prices at the same time.
The given matrix demonstrate the payoffs for an advertising game between Hilton and the Oriental. The companies can choose to advertise or to not advertise.
One airport had 28% late arrivals. After a new directing system was installed, a sample of 1200 flights had 322 late arrivals. At the .01 level, did the new system lower the rate of late arrivals? List the null and alternate hypotheses.
A telemarketing firm in a certain city uses a device that dials residential telephone numbers in that city at random. Of the first 100 numbers dialed, 51% are unlisted. This is not surprising because 48% of all residential phone numbers in this ci..
A light-bulb manufacturer advertises that the average life for its light bulbs 900 hours. A random sample of 10 of its light bulbs resulted in the following lives in hours. At the 10% significance level, do the data provide evidence that the mean ..
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