Concept explainers
Visitors to Rocky Mountain National Park. Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U.S. National Park Service statistics, 46.7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows park entrance, 24.3% of visitors entered through the Fall River park entrance, 6.3% of visitors entered through the Grand Lake park entrance, and 22.7% of visitors had no recorded point of entry to the park (U.S. National Park Service website). Consider a random sample of 175 Rocky Mountain
National Park visitors. Use the normal approximation of the binomial distribution to answer the following questions.
- a. What is the
probability that at least 75 visitors had a recorded entry through the Beaver Meadows park entrance? - b. What is the probability that at least 70 but less than 80 visitors had a recorded entry through the Beaver Meadows park entrance?
- c. What is the probability that fewer than 10 visitors had a recorded entry through the Grand Lake park entrance?
- d. What is the probability that more than 45 visitors have no recorded point of entry?

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Chapter 6 Solutions
Essentials Of Statistics For Business & Economics
- Determine whether a probability distribution exists. If a probability distribution exists, find its mean and standard deviation. If a probability distribution does not exist, identify the requirements that are not met. Fun Ways to Flirt A sociologist randomly selects single adults into groups of three, and the random variable x is the number of people in the group who say the most fun way to flirt is in person (based on a Microsoft instant messenger survey). P(x) 0 0.091 1 0.334 2 0.408 3 0.166arrow_forwardDetermine whether a probability distribution exists. If a probability distribution exists, find its mean and standard deviation. If a probability distribution does not exist, identify the requirements that are not met. Fun Ways to Flirt In a Microsoft Instant Messenger survey, respondents were asked to choose the funniest way to flirt, and the attached table is based on the results. P(x) Email 0.06 In person 0.55 Instant message 0.24 Text message 0.15arrow_forwardIn an electrical products industry, as part of a quality control test, a batch of 300 electrical fuses is selected, which is known to contain 5% defective fuses. A sample of 5 fuses is taken to verify their condition. Determine the probability that: a) One fuse is defective b) Two fuses are defective c) At least one is defective d) All five are defective e) Construct the probability distribution grapharrow_forward
- Answer the problem please.arrow_forwardcan wr define each section pleasearrow_forwardA number of years ago, there was a popular television game show called Let's Make a Deal. The host, Monty Hall, would randomly select contestants from the audience and, as the title suggests, he would make deals for prizes. Contestants would be given relatively modest prizes and then would be offered the opportunity to risk that prize to win better ones. Suppose a contestant on this show, On the stage are three curtains, A, B, and C. Behind one of them is a brand-new car worth $45,000. Behind the other two curtains, the stage is empty.mthey must now select one of the curtains. Suppose you select Curtain A.In an attempt to make things more interesting, Monty then exposes an empty stage by opening Curtain C (note: he knows that there is nothing behind Curtain C). He then asks if they want to keep Curtain A, or switch to Curtain B.What should they do? Keep Curtain A or switch to Curtain B?arrow_forward
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- The following table describes the probability distribution of the number of Mexican-Americans serving on a 12-member jury in Hidalgo County, Texas. Assuming we repeat the random selection process for the 12 jurors and count the number of Mexican-Americans each time, calculate the mean number of Mexican-Americans (out of 12), the variance, and the standard deviation. Use these results and the interval rule of thumb to calculate the highest common value and the lowest common value. Based on the results, determine whether a jury consisting of 7 Mexican-Americans out of 12 jurors is common or uncommon. Probability distribution: probabilities of numbers of Mexican-Americans on a 12-member jury, assuming the members are randomly selected from a population in which 80% of the inhabitants are Mexican-American x (méxico- estadouni- P(x) denses) 0 0+ 1 0+ 2 0+ 3 0+ 4 0.001 5 0.003 6 0.016 7 0.053 8 0.133 9 0.236 10 0.283 11 0.206 12 0.069arrow_forwarda) When two variables are correlated, can the researcher be sure that one variable causes the other? If YES , why? If NO , why? b) What is meant by the statement that two variables are related? Discuss with examples.arrow_forwardGood Day, assist me with plotting the following. I've already calculated the System Average Interruption Duration Index and System Average Interruption Frequency Index. using this data Create time series plots form the reliability metrics SAIDI and SAIFI along with thetrend lines based on the linear regression SAIDI(MINUTES) SAIFI(Interruptions) 2.58 0.045 2.94 0.056 2.32 0.056 3.21 0.177 2.78 0.180 2.72 0.121 2.44 0.119 3.19 0.175 2.21 0.065 2.30 0.135 3.49 0.128 3.60 0.112 2.15 0.104 3.75 0.055 3.12 0.036 2.85 0.123 2.62 0.173 3.08 0.047 1.92 0.040 2.94 0.147arrow_forward
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