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Chapter 6: Q. 81 (page 358)
Baby elk Refer to Exercise 77 . Use the binomial probability formula to find P(X = 4) . Interpret this value.
The chance of picking 4 out of 7 elks who live to be children is
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Ms. Hall gave her class a 10-question multiple-choice quiz.
Letthe number of questions that a randomly selected student in the class answered correctly. The computer output gives information about the probability distribution of . To determine each student鈥檚 grade on the quiz (out of ), Ms. Hall will multiply his or her number of correct answers by and then add . Let the grade of a randomly chosen student in the class.
More easy quiz
a. Find the mean of .
b. Find the range of .
A glass act In a process for manufacturing glassware, glass stems are sealed by heating them in a flame. Let X be the temperature (in degrees Celsius) for a randomly chosen glass. The mean and standard deviation of X are and .
a. Is tempe谐ature a discrete 芯谐 continuous 谐andom variable? Explain 褍芯u谐 answer.
b. The target temperature is . What are the mean and standard deviation of the number of degrees off target, ?
c. A manager asks for results in degrees Fahrenheit. The conversion of X into degrees Fahrenheit is given by . What are the mean and the standard deviation of the temperature of the flame in the Fahrenheit scale?
Using Benford's law According to Benford's law (Exercise 15, page 377), the probability that the first digit of the amount of a randomly chosen invoice is an 8 or a 9 is 0.097. Suppose you examine randomly selected invoices from a vendor until you find one whose amount begins with an 8 or a 9 .
a. How many invoices do you expect to examine before finding one that begins with an 8 or 9 ?
b. In fact, the first invoice you find with an amount that starts with an 8 or 9 is the 40 th invoice. Does this result provide convincing evidence that the invoice amounts are not genuine? Calculate an appropriate probability to support your answer.
Commuting to work Refer to Exercise 52 .
a. Assume that B and are independent random variables. Explain what this means in context.
b. Calculate and interpret the standard deviation of the difference (Bus - Walk) in the time it would take Sul茅 to get to work on a randomly selected day.
c. From the information given, can you find the probability that it will take Sul茅 longer to get to work on the bus than if he walks on a randomly selected day? Explain why or why not.
Loser buys the pizza leona and Fred are friendly competitors in high school. Both are about to take the ACT college entrance examination, They agree that if one of them scores ar more points better than the other, the loser will buy the winner a pizza. Suppose that in fact Fred and Leona have equal ability, so that each score varies Normally with mean and standard deviation data-custom-editor="chemistry" . (The variation is due to luck in guessing and the accident of the specific questions being familiar to the student.) The two scores are independent. What is the probability that the scores differ by or more points in either direction? Follow the four-step process.
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