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Page 148 #6, 8, 10, 14, 16 6. Weather A WeatherBug forecast for the home was d as: “Chance of rain: 80%.” P(Rain) = 0.80 8. Births Whena baby is born, there is approximately a 50-50 chance that the baby is a girl.P(Girl) = 0.5010. Roulette When playing roulette in the Mirage Casino, you have 18 chances out of 38 of winning if you bet that the outcome is an odd number.P(Odd Number) = 18/38 ≈ 0.473714. Identifying Probability Valuesa. What is the probability of an event that is certain to occur?

The probability of an event that is certain to occur is 1.b. What is the probability of an impossible event? The probability of an impossible event is 0.c. A sample space consists of 10 separate events that are equally likely. What is the probability of each? P(Each) = 1/10 = 0.10d. On a true/false test, what is the probability of answering a question correctly if you make a random guess? P(Correct) = 1/2 = 0.50e. On a multiple-choice test with five possible answers for each question, what is the probability of answering a question correctly if you make a random guess?P(Correct) = 1/5 = 0.2016. Genotypes In Example 4 we noted that a study involved equally likely genotypes represented as AA, Aa, aA, and aa.

If one of these genotypes is randomly selected as in Example 4, what is the probability that the outcome is AA? Is obtaining AA unusual?P(AA) = 1/4 = 0.25No, obtaining AA is not unusual because P(AA) = 0.25 > 0.001.Page 158# 22, 28, 3422. Tennis Instant Replay If M denotes the event of selecting a challenge made by a man, find. Was the challenge to the call successful?TotalYesNoMen201288489Women126224350Total32751283928. Survey Refusals A pharmaceutical company is interested in opinions of the elderly, because they are either receiving Medicare or will receive it soon.

What is the probability that the selected subject is someone 60 and over who responded?The probability that the selected subject is someone 60 and over who responded is about 0.1676. AgeTotal 18-2122-2930-3940-4950-5960 and overResponded732552451361382021049Refused112033162749156Total84275278152165251120534. Screening for Marijuana Use If one of the test subjects is randomly selected, find the probability that the subject tested positive or used marijuana.The probability that the subject tested positive or used marijuana is about 0.4867.Marijuana UsedNoYesTotalPositive test result24(False positive)119(True positive)143Negative test result154(True negative)3(False negative)157Total178122300Page 189 #6, 8, 10, 126.

Factorial Find the number of different ways that the nine players on a baseball team can line up for the National Anthem by evaluating 9!.The number of different ways that the nine players on a baseball team can line up for the National Anthem is 362880.8. Card Playing Find the number of different possible five-card poker hands by evaluating.The number of different possible five-card poker hands is 2598960.10. Scheduling Routes A political strategist must visit state capitols, but she has time to visit only 3 of them.

Find the number of different possible routes by evaluating . The number of different possible routes is 117600. 12. Trifecta Refer to Exercise 3. Find the number of different possible trifecta bets in a race with ten horses by evaluating .The number of different possible Trifecta bets in a race with ten horses is 720.Regression and Correlationa. Find the linear correlation coefficient r if given the following x and y values:x: 10 8 11 4 7 3 9y: 7 5 8 3 5 2 7The formula for the linear correlation coefficient, r is given below:Table 1 shows the values for the calculation of the linear correlation coefficient, r.

Table 1: Calculating r with Formulaxyx2y2xy107100497085642540118121648843169127549253532946978149635237440225314Therefore, and (For n = 7, the critical value of r at α = 0.01 is 0.875)b. Find the equation of the regression line from part a.The equation of the regression line is given by: The value of slope, b1 and intercept, b0 areSlope, Intercept, Thus, the equation of the regression line is The linear correlation coefficient, r is a numerical measure of the strength of the association between two variables representing quantitative data (Triola, 2010).

The value of linear correlation coefficient, r for the given data is 0.9845. This indicates very strong (nearly perfect) positive relationship between x and y (p < 0.01). Thus, the variable x explains about 96.93% of the variation in variable y. Therefore, variable x can be used for significantly predicting variable y using the equation of the regression line .ReferenceTriola, M. F. (2010). Elementary Statistics (11 ed.). New York: Addison-Wesley.