Chapter 6: Q. 103 (page 406)
The mean number of s in a line digits long is
(a)
(b)
(c)
(d)
(e)
Short Answer
The mean number of s in a line digits long is an option (b) .
Chapter 6: Q. 103 (page 406)
The mean number of s in a line digits long is
(a)
(b)
(c)
(d)
(e)
The mean number of s in a line digits long is an option (b) .
All the tools & learning materials you need for study success - in one app.
Get started for free7. Benford’s law Refer to Exercise 5. The first digit of a randomly chosen expense account claim follows Benford’s law. Consider the events A = first digit is 7 or greater and B = first digit is odd.
(a) What outcomes make up the event A? What is P(A)?
(b) What outcomes make up the event B? What is P(B)?
(c) What outcomes make up the event “A or B”? What is P(A or B)? Why is this probability not equal to P(A) + P(B)?
45. Too cool at the cabin? During the winter months, the temperatures at the Stameses' Colorado cabin can stay well below freezing or for weeks at a time. To prevent the pipes from freezing, Mrs. Stames sets the thermostat at . She also buys a digital thermometer that records the indoor temperature each night at midnight. Unfortunately, the thermometer is programmed to measure the temperature in degrees Celsius. Based on several years' worth of data, the temperature in the cabin at midnight on a randomly selected night follows a Normal distribution with mean and standard deviation.
(a) Let the temperature in the cabin at midnight on a randomly selected night in degrees Fahrenheit (recall that . Find the mean and standard deviation of .
(b) Find the probability that the midnight temperature in the cabin is below . Show your work.
50. Checking independence For each of the following situations, would you expect the random variables and to be independent? Explain your answers.
(a)is the rainfall (in inches) on November of this year, and is the rainfall at the same location on November of next year.
(b) is the amount of rainfall today, and is the rainfall at the same location tomorrow.
(c) is today's rainfall at the airport in Orlando, Florida, and is today's rainfall at Disney World just outside Orlando.
Exercises 47 and 48 refer to the following setting. Two independent random variables and have the probability distributions, means, and standard deviations shown.
48. Difference Let the random variable .
(a) Find all possible values of D. Compute the probability that takes each of these values. Summarize the probability distribution of in a table.
(b) Show that the mean of is equal to.
(c) Confirm that the variance of is equal to .Find all possible values of . Compute the probability that takes each of these values. Summarize the probability distribution of in a table.
Spell-checking Refer to Exercise 3. Calculate and interpret the standard deviation of the random variable . Show your work
What do you think about this solution?
We value your feedback to improve our textbook solutions.