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Chapter 4: Q5 (page 143)

Identifying Probability Values Which of the following are probabilities?

0 3/5 5/3 -0.25 250% 7:3 1 50-50 5:1 0.135 2.017

Short Answer

Expert verified

The probability values are 0, 35, 1, and 0.135.

Step by step solution

01

Given information

Numerical values are provided. The possible probability values need to be identified.

02

Probability

Probabilityis the chance that a particular event will happen or not.

The value for measures ranges from 0 to 1. The value of the probability can never be negative.It is because a favourable number of outcomes can never exceed total and the counts of outcomes cannot be negative.

03

Identifying probability values

The following numbers are classified whether they can be a probability value or not:

  • 0: Probability ranges from 0 to 1 (inclusive). Thus, 0 can be a probability value.
  • 35is a proper fraction. Its value lies between 0 and 1. Thus, 35can be a probability value.
  • 53is an improper fraction. Its value is greater than 1. Thus, 53cannot be a probability value.
  • -0.25 is a negative value. Probability can never be negative. Thus, -0.25 cannot be a probability value.
  • 250%=250100=2.5

250% is greater than 1. Thus, it cannot be a probability value.

  • 7:3can be written as 73. As73 is an improper fraction, its value is greater than 1. Thus, it cannot be a probability value.
  • 1: Probability lies between 0 to 1 (inclusive). Thus, 1 can be a probability value.
  • 50-50is not a numeric value that lies between 0 and 1. Thus, cannot be a probability value.
  • 5:1can be written as 51. As51 is an improper fraction, its value is greater than 1. Thus, it cannot be a probability value.
  • 0.135 lies between 0 and 1. Thus, it can be a probability value.
  • 2.017 is greater than 1. Thus, it cannot be a probability value.

Therefore, the values 0,35 , 1, and 0.135 are probabilities.

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Most popular questions from this chapter

In Exercises 25鈥�32, find the probability and answer the questions. XSORT Gender Selection MicroSort鈥檚 XSORT gender selection technique was designed to increase the likelihood that a baby will be a girl. At one point before clinical trials of the XSORT gender selection technique were discontinued, 945 births consisted of 879 baby girls and 66 baby boys (based on data from the Genetics & IVF Institute). Based on these results, what is the probability of a girl born to a couple using MicroSort鈥檚 XSORT method? Does it appear that the technique is effective in increasing the likelihood that a baby will be a girl?

Odds. In Exercises 41鈥�44, answer the given questions that involve odds.

Kentucky Pick 4 In the Kentucky Pick 4 lottery, you can place a 鈥渟traight鈥� bet of \(1 by selecting the exact order of four digits between 0 and 9 inclusive (with repetition allowed), so the probability of winning is 1/10,000. If the same four numbers are drawn in the same order, you collect \)5000, so your net profit is $4999.

a. Find the actual odds against winning.

b. Find the payoff odds.

c. The website www.kylottery.com indicates odds of 1:10,000 for this bet. Is that description accurate?

In Exercises 9鈥�20, use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

惭肠顿辞苍补濒诲鈥檚

Burger King

奥别苍诲测鈥檚

Taco Bell

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264

249

145

OrderNotAccurate

33

54

31

13

Fast Food Drive-Thru Accuracy If one order is selected, find the probability of getting an order that is not accurate.

In Exercises 13鈥�20, express the indicated degree of likelihood as a probability value between 0 and 1.

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Cell Phones and Cancer A study of 420,095 Danish cell phone users resulted in 135 who developed cancer of the brain or nervous system (based on data from the Journal of the National Cancer Institute). When comparing this sample group to another group of people who did not use cell phones, it was found that there is a probability of 0.512 of getting such sample results by chance. What do you conclude?
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