The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of 98.08degreesF and a standard deviation of 0.61degreesF. Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the​ mean, or between 96.25degreesF and 99.91degrees​F? b. What is the approximate percentage of healthy adults with body temperatures between 96.86degreesF and 99.30degrees​F? a. Approximately nothing​% of healthy adults in this group have body temperatures within 3 standard deviations of the​ mean, or between 96.25degreesF and 99.91degreesF.

A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 57 months and a standard deviation of 11 months. Using the empirical (68-95-99.7) rule, what is the approximate percentage of cars that remain in service between 24 and 46 months? Ans = % (Do not enter the percent symbol. This asks for a percentage so do not convert to decimal. For example, for 99%, you would enter 99, not 0.99)

The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 264.8 and a standard deviation of 60.4. ​(All units are 1000 ​cells/mu​L.) Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean, or between 83.6 and 446.0​? b. What is the approximate percentage of women with platelet counts between 144.0 and 385.6​? a. Approximately nothing​% of women in this group have platelet counts within 3 standard deviations of the​ mean, or between 83.6 and 446.0.

1.1 LetX∼Poisson(4). The r command dpois(0:9, 4) gives the probabilities that P(X=k) fork= 0,1,...,9.

1.1.1 Use the plot() function to plot these probabilities and to connect the points with lines.

1.1.2 Use the barplot() function to make a barplot these probabilities.

1.2 The r command rpois(1000, 4) generates a sample of 1000values from the Poisson(4) distribution. Use the barplot()function to plot the empirical probabilities for X=k resultingfrom this sample

please include r code needed to generate plots

Life Span of Tires: A certain brand of automobile tires has a mean life span of 35,000 miles and a standard deviation or of 2,250 miles. (Assume a bell-shape distribution).

1. The span of three randomly selected tires are 34,000 miles, 37,000 miles, and 31,000 miles. Find the z-scores that correspond to each life span. Would any of these tires be considered unusual?
2. The life spans of three randomly selected tires are 30,500 miles, 37,250 miles, and 35,000 miles. Using the Empirical Rule, find the percentile that corresponds to each life span.

An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball, and a player is to draw one ball. If it is black, he wins $1, if it is red, he wins $2, if it is white he wins $3 and if it is blue, he pay $25.

a. Set up the empirical probability distribution for the random variable X, the payoff of the game.

b. What is the mathematical expectation of this game?



c. In the long-run, will the player win or lose?

The semester average grade for a statistics course is 76 with a standard deviation of 5.5. Assume that stats grades have a bell-shaped distribution and use the empirical rule to answer the following questions (explain your responses with the help of a graph):

1. What is the probability of a student’s stat grade being greater than 87?

2. What percentage of students has stat grades between 70.5 and 81.5?

3. What percentage of students has stat grades between 70.5 and 65?

4. What is the probability of a student’s stat grade being greater than the mean?

1. [20 marks]  Does a market economy provide too little or too much incentive to undertake innovation?  Explain, identifying the criterion you are using to answer.  Identify the roles that competition and appropriability play in your answer.
2. [20 marks]  Does empirical evidence show that patents increase innovation rates or not?  Explain, citing evidence and measurement issues as appropriate.  
3. [10 marks]  Compare the static and dynamic welfare effects of using patents to incentivise innovation or, alternatively, using prizes to incentivise innovation. Point out both advantages and disadvantages of each method.  

Throughout the semester, you have learned about several theories and practices of psychology across many different areas. This assignment will give you an opportunity to apply some of those major concepts, theoretical perspectives, and empirical findings. In completing this assignment, you will hone your critical thinking skills, recognizing and applying psychological principles, and communicating your understanding of individual, community, and organizational life experiences to a general audience.

Task:

For this assignment, you will write a 3-5 page paper based on a film or book that you will explore through the application of psychological theory and research.

3. The average sale per customer at a department store is $120.00 with a standard deviation of $10.00.  

According to the Empirical Rule, the percentage of sales between

$90.00 and $150.00 would be   __________________

Using Chebyshev’s Theorem, the upper and lower limits for 75% of the data values =

_________to ___________.

c)    If a customer spends $160.00, which of the following is correct?

a) It is an outlier because it’s more than 3 standard deviations below the mean.

b) It is an outlier because it’s more than 3 standard deviations above the mean.

c) It is not an outlier.

d) None of the above is correct.