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Chapter 6: Q. 1.2 (page 385)
For each of the following situations, determine whether the given random variable has a binomial distribution. Justify your answer.
Choose three students at random from your class. Let the number who are over feet tall.
No, the variable is not binomial distribution.
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Ana is a dedicated Skee Ballplayer (see photo) who always rolls for the -point slot. The probability distribution of Ana's score on a single roll of the ball is shown below. You can check that and .
(a) A player receives one ticket from the game for every points scored. Make a graph of the probability distribution for the random variable number of tickets Ana gets on a randomly selected throw. Describe its shape.
(b) Find and interpret .
(c) Compute and interpret .
To collect information such as passwords, online criminals use 鈥渟poofing鈥� to direct Internet users to fraudulent Web sites. In one study of Internet fraud, students were warned about spoofing and then asked to log in to their university account starting from the university鈥檚 home page. In some cases, the login link led to the genuine dialog box. In others, the box looked genuine but in fact was linked to a different site that recorded the ID and password the student entered. An alert student could detect the fraud by looking at the true Internet address displayed in the browser status bar below the window, but most just entered their ID and password. Is this study an experiment? Why? What are the explanatory and response variables?
14. . Life insurance A life insurance company sells a term insurance policy to a -year-old male that pays if the insured dies within the next years. The probability that a randomly chosen male will die each year can be found in mortality tables. The company collects a premium of each year a payment for the insurance. The amount that the company earns on this policy is per year, less the that it must pay if the insured dies. Here is a partially completed table that shows information about risk of mortality and the values of profit earned by the company:
(a) Copy the table onto your paper. Fill in the missing values of .
(b) Find the missing probability. Show your work.
(c) Calculate the mean .Interpret this value in context
88. Scrabble In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing tiles. There are vowels, consonants, and blank tiles in the bag. Cait chooses her tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability? Justify your answer
(a) Would you be surprised if none of the candies were orange? Compute an appropriate probability to support your answer.
(b) How surprising would it be to get or more orange candies? Compute an appropriate probability to support your answer
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