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Chapter 6: Q.1.3 (page 344)

North Carolina State University posts the grade distributions for its courses online.3Students in Statistics 101in a recent semester received 26%A42%Bs,20%Cs,10%Ds,and2%Fs. Choose a Statistics 101student at random. The student鈥檚 grade on a four-point scale (with A=4) is a discrete random variable Xwith this probability distribution:

Sketch a graph of the probability distribution. Describe what you see .

Short Answer

Expert verified

All the tail of the bar is to the left. Thus, the distribution is skewed to the left

Step by step solution

01

Given information

North Carolina State University posts the grade distributions for its courses online.3Students in Statistics 101in a recent semester received 26%As, 42%Bs, 20%Cs, 10%Ds, and 2%Fs. Choose a Statistics101student at random. The student鈥檚 grade on a four-point scale (with A = 4) is a discrete random variable Xwith this probability distribution:

02

Given information

From Question(1.2) The probability distribution is

The following is an example of a probability distribution:

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Most popular questions from this chapter

A report of the National Center for Health Statistics says that the height of a 20-year-old man chosen at random is a random variable H with mean 5.8feet (ft) and standard deviation0.24 ft. Find the mean and standard deviation of the height J of a randomly selected 20-year-old man in inches. There are 12 inches in a foot

Kids and toys Refer to Exercise 4. Calculate the mean of the random variable X and interpret this result in context.

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?

45. Too cool at the cabin? During the winter months, the temperatures at the Stameses' Colorado cabin can stay well below freezing 32掳For 0掳Cfor weeks at a time. To prevent the pipes from freezing, Mrs. Stames sets the thermostat at 50掳F. 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 Tin the cabin at midnight on a randomly selected night follows a Normal distribution with mean 8.5掳Cand standard deviation2.25掳C.
(a) Let Y=the temperature in the cabin at midnight on a randomly selected night in degrees Fahrenheit (recall that F=(9/5)C+32). Find the mean and standard deviation of Y.

(b) Find the probability that the midnight temperature in the cabin is below 40掳F. Show your work.

Ten lines in the table contain 400digits. The count of 0s in these lines is approximately Normal with

(a) mean 40; standard deviation 36.

(b) mean 40; standard deviation19.

(c) mean 40; standard deviation 6.

(d) mean 36; standard deviation6.

(e) mean 10; standard deviation 19.
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