Chapter 6: Q. 7. (page 367)
Get on the boat! Refer to Exercise 3. Find the mean of Y. Interpret this value.

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Chapter 6: Q. 7. (page 367)
Get on the boat! Refer to Exercise 3. Find the mean of Y. Interpret this value.

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condition To use a binomial distribution to approximate the count of successes in an SRS, why do we require that the sample size n be less than of the population size ?
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
Ed and Adelaide attend the same high school but are in different math classes. The time E that it takes Ed to do his math homework follows a Normal distribution with mean 25 minutes and standard deviation 5 minutes. Adelaide's math homework time A follows a Normal distribution with mean 50 minutes and standard deviation 10 minutes. Assume that E and A are independent random variables.
a. Randomly select one math assignment of Ed's and one math assignment of Adelaide's. Let the random variable D be the difference in the amount of time each student spent on their assignments: . Find the mean and the standard deviation of D.
b. Find the probability that Ed spent longer on his assignment than Adelaide did on hers.
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?
.Essay errors Typographical and spelling errors can be either 鈥渘onword errors鈥 or 鈥渨ord errors.鈥 A nonword error is not a real word, as when 鈥渢he鈥 is typed as 鈥渢eh.鈥 A word error is a real word, but not the right word, as when 鈥渓ose鈥 is typed as 鈥渓oose.鈥 When students are asked to write a -word essay (without spell-checking), the number of nonword errors X has the following probability distribution:
| Value of X | 0 | 1 | 2 | 3 | 4 |
| Probability | 0.1 | 0.2 | 0.3 | 0.3 | 0.1 |
| Value of Y | 0 | 1 | 2 | 3 |
| Probability | 0.4 | 0.3 | 0.2 | 0.1 |
a) Find the mean and standard deviation of the difference in the number of errors made by a randomly selected student. Interpret each value in context.
(b) Challenge: Find the probability that a randomly selected student makes more word errors than nonword errors .
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