The average score for games played in the NFL is 22.4 and the standard deviation is 9 points. 8 games are randomly selected. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of a? a - N( b. What is the distribution of x? x - - N( c. P(a > 24.727) = d. Find the 71th percentile for the mean score for this sample size. e. P(18.127 < a < 25.291) = f. Q3 for the a distribution = 8. P(Ea h. For part c) and e), is the assumption of normal necessary? O NoO Yes x > 199.416) =

Q: The average amount of money that people spend at Don Mcalds fast food place is $7.4300 with a…

A: Given Mean=7.43 Standard deviations=1.51 n=45

Q: The average amount of money that people spend at Don Mcalds fast food place is $7.3500 with a…

A: Note: As per the guidelines, solution to three subparts are provided. Given information: Population…

Q: In the standard normal distribution, approximately what values of z correspond to the … first and…

A:

Q: Suppose that people’s heights (in centimeters) are normally distributed, with a mean of 170 and a…

A: Suppose that people’s heights (in centimeters) are normally distributed, with a mean of 170 and a…

Q: Suppose the normal curve below is about the distribution of books in the library that are found to…

A: a) From the graph we get the mean= 470 b) And standard deviation = 590 - 470 = 120

Q: For a Normal distribution with μ=11.9μ=11.9 and σ=2.9σ=2.9. What proportion of observations have…

A: Obtain the standard z-score for the random variable equals 7. The standard z-score for the random…

Q: The finishing times, in minutes, for running marathons have an unknown distribution with mean 297…

A: Mean = 297 Standard deviation = 32 Sample size = 41

Q: For a normal distribution with a mean of µ = 80 and a standard deviation of σ = 10, what is p(X<95)?…

A:

Q: e the normal distribution of SAT critical reading scores for which the mean is 500 and the standard…

A:

Q: The average amount of money that people spend at Don Mcalds fast food place is $7.4500 with a…

A: Given that  Mean=74500 Standard deviation=18300 n=16

Q: For a normal distribution with a mean of μ = 70 and a standard deviation of σ = 10, find the…

A: (a) Obtain the proportion of the population scores greater than 80. The proportion of the population…

Q: Use the normal distribution of SAT critical reading scores for which the mean is 512 and the…

A: Here the verbal SAT scores are normally distributed with mean=512 and SD=111. We need to compute the…

Q: What z score, in a normal distribution, corresponds to Q1?   0.25 0.67 -0.67 correct answer is not…

A: First quartile:The first quartile is the middle-most observation or median of the lower half of the…

Q: For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of…

A:

Q: At the local liquour store, a single purchase approximately follows a normal distribution with a…

A: Empirical rule (68 – 95 – 99.7 rule): For a bell shaped distribution (normal) the empirical rule…

Q: The mean score of 100 students taking a statistics final was 70 with a standard deviation of 7.…

A: Note: Since the probability values are given, the probability that the student score less than 65 is…

Q: given a normal distribution with mean of 40 and standard deviation of 6, find

A:

Q: Assume that the distribution of scores on a college entrance exam is normal, with a mean of 500 and…

A: We have to find z score and from z table probability.

Q: Based on the graph of this normal distribution. a) The mean is _____ .  b) The standard deviation…

A:

Q: For a normal distribution with a mean of μ = 90 and a standard deviation of σ = 5, what is p(X>87)?…

A: We have given the following information about the normal distribution Mean = 90 Standard deviation…

Q: What proportion of observations have values less than 7? Round to fourth decimal

A: From the provided information,    Mean of normal distribution µ=11.9 And standard deviation is σ=2.9…

Q: The average amount of money that people spend at Don Mcalds fast food place is $7.3200 with a…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Suppose you have a normal distribution with mean 16. If you are given a data value of 14, would you…

A: We have to find out z score...

Q: What proportion of the normal distribution is found in the folloing areas? a. Between the mean and…

A:

Q: Use the normal distribution of SAT critical reading scores for which the mean is 508 and the…

A: Given that X follows Normal distribution with mean = 508 and SD = 116, then Z = (X - mean)/SD = (X -…

Q: For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of…

A: The random variable X follows normal distribution with mean 50 and standard deviation 10. The…

Q: For a normal distribution a mean of 60 and a standard deviation of 10, find the proportion of the…

A: It is given that the mean is 60 and the standard deviation is 10.

Q: The average amount of money that people spend at Don Mcalds fast food place is $7.3500 with a…

A: Given: The average amount of money spent at Don Mcalds fast food place is $7.3500 and standard…

Q: Use the normal distribution of SAT critical reading scores for which the mean is 513 and the…

A:

Q: The average number of people who attend a soccer game at the Salt Lake Stadium in West Bengal, India…

A: Hi, we are supposed to answer three subparts a time. Since you have not mentioned which subpart to…

Q: For a normal distribution with a mean of µ = 300 and a standard deviation of σ = 16, n = 64. (a)…

A: Given data,μ=300σ=16n=64

Q: For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of…

A: Given: Calculate the z score as follows: The percentage of the area below 77 can be calculated as:…

Q: A normal distribution has a mean of 98 and a standard deviation of 9. Find the z-score for a data…

A: Consider the given:  Formula for z score- z=Value − meanStandard deviationIt is given…

Q: Use the normal distribution to the right to answer the questions. (a) What percent of the scores are…

A: From the given information, µ = 20.2 and s = 5.1. Let the random variable X denote the score of a…

Q: In a job fair, 5,000 applicants applied for a job. Their mean age was found to be 28 with a standard…

A:

Q: For a normal distribution with a mean of μ=85and a standard deviation of σ=20, find the proportion…

A:

Q: For a normal distribution, find the percentage of data that are: (a)  Within 1 standard deviation…

A: The mean and standard deviation of the standard normal distribution are 0 and 1.

Q: Use the normal distribution of SAT critical reading scores for which the mean is 504 and the…

A:

Q: For a normal distribution, find the percentage of data that are: a). Within 1 standard deviation of…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

Q: For a normal distribution with a population of  μ = 54 and a standard deviation of σ = 12, find the…

A:

Q: The average amount of money that people spend at Don Mcalds fast food place is $7.5500 with a…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(xs 93)? O A.…

A:

Q: For a sample from a normal distribution with standard deviation σσ, the standard deviation of the…

A:

Q: For a normal distribution with a mean of μ = 60 and a standard deviation of σ = 10, find the…

A: Given that, The proportion of the population corresponding to scores greater than 65 is,…

Q: The average amount of money that people spend at Don Mcalds fast food place is $7.6400 with a…

A: Given,sample size(n)=16mean(μ)=7.6400standard deviation(σ)=1.6800

Q: Use the normal distribution to the right to answer the questions. Standardized Test Composite Scores…

A:

Q: Consider a normal distribution curve where 55-th percentile is at 11 and the 20-th percentile is at…

A:

Q: For a normal-shaped distribution with µ = 50 and σ = 8: a) What proportion of the scores have…

A: Given that, Mean = 50 Standard deviation = 8

Q: Use the normal distribution of SAT critical reading scores for which the mean is 508 and the…

A: Given μ=508 and σ=109   Use standardization to calculate probability asz=x-μσ

Q: The average amount of money that people spend at Don Mcalds fast food place is $7.3500 with a…

A: Given, μ=73500, σ=19700, n = 8

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.