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Chapter 6: Q. 6. (page 365)

Skee Ball Refer to Exercise 4. Make a histogram of the probability distribution. Describe its shape

Short Answer

Expert verified

The scores range from ten to fifty.

The most common score is a 10 that is skewed to the right.

The scores range from ten to fifty.

Step by step solution

01

Step 1. Given information.

Score1020304050
Probability0.320.270.190.150.07
02

Step 2. Create a probability distribution histogram. Describe its form.

Histogram of Probability

Each bar's width must be the same, and the bars must be centered on the amount of money collected, with the height equal to the probability.

Because the highest bar in the histogram is to the left, and there is a tail of smaller bars to its right, the distribution is skewed to the right.

Because the highest bar in the histogram is centered at 10, the most common score is 10.

As a result:

The scores range from ten to fifty.

The most common score is a 10 that is skewed to the right.

The scores range from ten to fifty.

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Most popular questions from this chapter

1 in 6 wins As a special promotion for its 20-ounce bottles of soda, a soft drink company printed a message on the inside of each bottle cap. Some of the caps said, "Please try again!" while others said, "You're a winner!" The company advertised the promotion with the slogan " 1 in 6 wins a prize." Grayson's statistics class wonders if the company's claim holds true at a nearby convenience store. To find out, all 30 students in the class go to the store and each huys one 20-ounce bottle of the soda.

a. Find the probability that two or fewer students would win a prize if the company's claim is true.

b. Two of the students in Grayson's class got caps that say, "You're a winner!" Does this result give convincing evidence that the company's 1-in-6 claim is false?

Roulette Marti decides to keep placing a 1$ bet on number 15 in consecutive spins of a roulette wheel until she wins. On any spin, there's a 1-in-38 chance that the ball will land in the 15 slot.

a. How many spins do you expect it to take for Marti to win?

b. Would you be surprised if Marti won in 3 or fewer spins? Compute an appropriate probability to support your answer.

Easy-start mower Refer to Exercise 92 .

a. Calculate and interpret the mean of T.

b. Calculate and interpret the standard deviation of T.

Ms. Hall gave her class a 10-question multiple-choice quiz.

LetX=the number of questions that a randomly selected student in the class answered correctly. The computer output gives information about the probability distribution of X. To determine each student’s grade on the quiz (out of 100), Ms. Hall will multiply his or her number of correct answers by 5and then add 50. Let G=the grade of a randomly chosen student in the class.

More easy quiz

a. Find the mean of G.

b. Find the range of G.

.Essay errors Typographical and spelling errors can be either “nonword errors” or “word errors.” A nonword error is not a real word, as when “the” is typed as “teh.” A word error is a real word, but not the right word, as when “lose” is typed as “loose.” When students are asked to write a 250-word essay (without spell-checking), the number of nonword errors X has the following probability distribution:

Value of X01234
Probability0.10.20.30.30.1

μX=2.1σX=1.136

Value of Y0123
Probability0.40.30.20.1

μY=1.0σY=1.0

a) Find the mean and standard deviation of the difference Y-Xin 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 .
See all solutions

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