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Chapter 6: Q. 78 (page 358)
Long or short? Put the names of all the students in your statistics class in a hat. Mix up the names, and draw 4 without looking. Let X = the number whose last names have more than six letters.
The given statement is correct, is based on the binomial distribution.
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Taking the train Refer to Exercise 80 . Use the binomial probability formula to find . Interpret this value.
Electronic circuit The design of an electronic circuit for a toaster calls for a ohm resistor and a -ohm resistor connected in series so that their resistances add. The components used are not perfectly uniform, so that the actual resistances vary independently according to Normal distributions. The resistance of -ohm resistors has mean ohms and standard deviation ohms, while that of -ohm resistors has mean 250 ohms and standard deviation 2.8ohms.
(a) What is the distribution of the total resistance of the two components in series?
(b) What is the probability that the total resistance
Bag check Thousands of travelers pass through the airport in Guadalajara,
Mexico, each day. Before leaving the airport, each passenger must go through the customs inspection area. Customs agents want to be sure that passengers do not bring illegal items into the country. But they do not have time to search every traveler's luggage. Instead, they require each person to press a button. Either a red or a green bulb lights up. If the red light flashes, the passenger will be searched by customs agents. A green light means "go ahead." Customs agents claim that the light has probability of showing red on any push of the button. Assume for now that this claim is true. Suppose we watch 20 passengers press the button. Let the number who get a red light. Here is a histogram of the probability distribution of :
a. What probability distribution does R have? Justify your answer.
b. Describe the shape of the probability distribution.
Skee Ball Ana is a dedicated Skee Ball player (see photo in Exercise 4) who always rolls for the 50-point slot. The probability distribution of Ana鈥檚 score X on a randomly selected roll of the ball is shown here. From Exercise 8, 渭X=23.8 . Calculate and interpret the standard deviation of X.
Easy-start mower Refer to Exercise 92 .
a. Calculate and interpret the mean of T.
b. Calculate and interpret the standard deviation of T.
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