Description You have just completed the Discrete Variable Continuous Variable assignment on Discrete Probability Distributions and will be moving into Continuous Probability Distributions. Name three variables you encounter in your daily life that are discrete and name three that are continuous. How do you know if they are discrete or continuous?
Q: Stem-and-leaf of C1 N = ? Leaf Unit = 0.1 6…
A: Given stem and leaf plot: Leaf Unit = 0.1 6 2 133788 15 3…
Q: On a 5 question multiple-choice test, where each question has 3 answers, what would be the…
A: From the provided information, Total questions (n) = 5 Each question has 3 answers. Probability of…
Q: A chi-square test is used to determine if there is a significant difference between the observed and…
A: The formula for calculating the chi-square statistic is: χ2 = Σ((Oi - Ei)^2 / Ei), where i =…
Q: Calculate the Pearson correlation coefficient between the following two sets of data: X = [3, 5, 4,…
A: The Pearson correlation coefficient is a measure of the linear relationship between two variables, X…
Q: What is the correlation coefficient between two variables, x and y, if the mean of x is 8, the mean…
A: Here given that the mean of x is 8, the mean of y is 9, the standard deviation of x is 2, the…
Q: To answer item 17 to 23, use MS Excel data analysis Consider the following data set, in which a…
A: First enter the given data in Excel as shown below.
Q: .The median is 2.The mode is 3.The mean is
A:
Q: A researcher is interested in testing the relationship between height and weight in a sample of 100…
A: The question is about testing of correlation Given : Randomly selected no. of people ( n ) = 100…
Q: A researcher wants to determine the average height of students in a university using convenience…
A: No, the researcher cannot use this sample to make inferences about the population of all students at…
Q: A. The percentage grade average of the Medical Technology students is normally distributed with a…
A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…
Q: Table1 shows a frequency distribution of the weekly wages of 65 employees at the P&R Company.…
A: The question is about frequency distribution Given : To find : Answer the given questions based…
Q: A study is being conducted in which a variable of interest has 2,020 observations. The minimum value…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Differentiate between shape, location and scale parameters ?
A: Diffrentiation between shape, location and scale parameters.
Q: The following graph shows the number T = T(d) of tornadoes in Oklahoma (F1/EF1 and stronger)…
A: (c) The objective is to find the average yearly rate of decrease in tornadic activity from 2011 to…
Q: Use a spreadsheet or a statistical software to determine the nature of the linear relationship…
A: The question is about regression Given : No. of pairs of project grade and final grade ( n ) = 10…
Q: • Let X be the number of females out of 200 that pass away before reaching the age of 90. Describe…
A: Answer:- Given, sample size, n = 200 Probability, p = 68% = 0.68 Let X be the number of females out…
Q: The following is a sample data set showing the price on redfin (in thousands of dollars) of eight…
A: Given The sample data is as follows: 460, 469, 648, 949, 610, 370, 460, 415, 729, 1975
Q: n Horton's has recently opened up in Edmonton. It is observed that, on any given morning, the time…
A: Given that. X~N( μ , ?) μ=6 , ?=2.7 Z-score =( x - μ )/?
Q: A sample of 500 observations is taken from a normally distributed population with a mean of 100 and…
A: Given that Sample size n =500 Sample mean=100 Standard deviation =15
Q: The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a…
A:
Q: Suppose we have a random sample of size n=100 drawn from a population with a mean of μ=50 and a…
A: The test statistic is calculated as (x̄-μ0)/(σ/√n), where x̄ is the sample mean, μ0 is the…
Q: A business bus travels 25 miles at 25mph, 25 miles at 50 mph, and 25 miles at 75mph. Calculate the…
A: GivenA business bus travels 25 miles at25 mph,50 mph,75 mphsample size(n)=3
Q: A researcher wants to determine if preschool attendance is associated with high school graduation…
A: Here we have to identify the correct response variable in this study
Q: hy is the numerator always 1 for the F-statistic?
A: The number of iron supplements = 10 The contrasts in the mean = 9 α = 0.05 j = 9
Q: For item 10 to 14. The following data were collected to determine the relationship between the…
A:
Q: How do you determine if a strong positive or negative correlation exists between two variables using…
A: Correlation is a measure that indicates the strength and direction of association between two…
Q: To answer item 17 to 23, use MS Excel data analysis Consider the following data set, in which a…
A: The correlation coefficient is used to determine the strength of the association between the…
Q: Let X be a random variable representing the weight of a randomly selected bag of apples from a…
A: Given that. X~N( μ , ?) μ=14 , ?=2 Z-score =( x - μ )/?
Q: A survey was conducted to determine the difference in the average height of adult males before and…
A:
Q: The data below give the adjusted gross income x and the amount of itemized deductions taken by…
A: Given information: Adjusted Gross Income(1000s), X Itemised Deductions($1000s), Y 22 9.6 27…
Q: Consider the following cumulative frequency distribution: Interval 15 Ret x B
A: Given that Cumulative frequency distribution Interval cumulative frequency 15<X≤25 30…
Q: cubic yards
A: First, let's find the area of the garden: area = 31 ft * 24 ft = 744 sq ft Next, let's convert the 2…
Q: ome examples of variables for a Cincinnati State student are: the number of minutes spent studying…
A: Each variable is of two types, they are qualitative and quantitative. Qualitative is the type of…
Q: We are given three strange coins. One has heads on both faces, the second has tails on both faces,…
A: Given information: Three coins are given.
Q: Start A = {2,4,5} B = {1, 2, 6, 7} BnA={Ex: 1, 2, 3 }
A:
Q: What is the null hypothesis in a Kruskal-Wallis test
A: The null hypothesis in a Kruskal-Wallis test is that the medians of all the groups are equal, i.e.,…
Q: (a) Determine the mean and variance of new product demand. Mean = i Variance = i (b) Determine the…
A:
Q: 23. Data is provided on a random sample of gymnasts competing the 2012 London Olympics. Answer the…
A: Given The data is as follows: Males: 26, 24, 26, 23, 20, 20, 23, 19, 33, 22, 18, 26 Females: 17, 22,…
Q: In a particular bag of skittles, there are 9 red, 9 orange, 10 green, 12 yellow, and 15 purple…
A:
Q: Sketch the region corresponding to the statement P(z > 0.9) Shade: Left of a value ********* -4 -3…
A: Given that P(Z>0.9)
Q: Accident Epidemiology Automobile accidents are a frequent occurrence and one of the leading causes…
A: As per given instructions i am solving part(a) and part (b) Given thatp = 6.5% = 0.065n = 24
Q: The descriptive statistics presented below are the summary measures for the number of listings for…
A: We have to draw conclusions considering both the given table information for Female realtors and…
Q: You are given the measurements of two sides of a rectangle A and B with the associate errors A and…
A: Note: As per the guidelines, in case of multiple questions, answer to first question will be…
Q: A researcher wants to test the difference in the mean scores of two independent groups on a…
A: To determine if there is a significant difference in the mean scores of the two groups, the…
Q: Calculate the Pearson correlation coefficient between the following two sets of data: X = [3, 5, 4,…
A: From the given information we have X 3 5 4 7 6 Y 1 2 3 4 5
Q: Problem #2: IQs are known to be normally distributed with mean 100 and standard deviation 15. (a)…
A: Given data Normal distribution μ = 100σ = 15
Q: (a) What is the probability that an infant will have one or more episodes of otitis media by the end…
A: Given data: i Disease-free infants at the end of month i 0 2500 1 2400 2 2400 3 2325 4…
Q: d) Now assume that the uncertainty in each value of f grows with f: o(f) = 0.13 + 0.05 * f (MHz).…
A: Given the data as Current I(Amps) Frequency f (MHz) 0 0.13 0.2 0.7 0.4 1.48 0.6 2.6 0.8…
Q: In a multiple regression analysis with three independent variables (X1, X2, and X3), what is the…
A: Multiple regression analysis is a statistical method used to examine the relationship between a…
Q: distribution Let a random experiment be the cast of a pair of unbiased dice, each having six faces,…
A:
Step by step
Solved in 2 steps
- An ordinary die is rolled. Find the probability of each event. Rolling a number greater than 1 but less than 6The score on an exam from a certain MAT 112 class, X, is normally distributed with μ=81.2 and σ=10. NOTE: Assume for the sake of this problem that the score is a continuous variable. A score can thus take on any value on the continuum. (In real life, scores are often treated as if they were continuous values but are actually discrete in most cases.) (a) Write the event ''a score less than 69.2'' in terms of X: . (b) Find the probability of this event: (c) Find the probability that a randomly chosen score is greater than 88.7: . (d) Find the probability that a randomly chosen score is between 69.2 and 88.7:Which of the statements is not true about continuous probability distributions? A) The total area under the density curve must be exactly 1. B) There are no disjoint events in continuous probability models. C) If X is a continuous random variable taking values between 0 and 500, then ?(?>200)=?(?≥200) D) The probability of any event is the area under the density curve over the range of values that make up the event.
- Biologists are observing grunion run on a 4-mile long stretch of beach (the starting point islabeled 0 mi & the ending point labeled 2 mi, similar to a number line or a ruler). Assuming that the run happens on any point on this stretch with equal probability, let the continuous random variable X be the location of the run, then the probability distribution (or density) of X is p(x) = ¼ for 0≤x≤4p(x) = 0 otherwise (x<0 or x>4)(Hint: Sketch the graph y=p(x)) Calculate:(a) Justify the model above(b) Pr ( 0 mi < X < ¼ mi) – hint: find the enclosed area(c) Pr ( ¼ mi < X < ½ mi )(d) Pr ( ¼ mi < X < ¾ mi )(e) Pr ( 1 mi < X < 2 mi ) (f) If there aren’t enough observers to monitorthe entire 4-mi stretch, determine the length of beach that needs to be monitoredso that there is at least a 75% probability the team will be observing the grunion runDiscuss the importance of Probability Density Functions in Actuarial studies. Illustrate your discussions with one discrete and one continuous distribution.a discrete probability distribution is defined by the function P(X = x) = (x^2 + x) / 20 ; x = 1, 2, 3 a) use this information to fill in the second column in the table. The additional columns are for you to use as needed when finishing other parts of this problem. There may be an extra column. x P ( X = x) 1 2 3 total b) describe how you can determine that the algebraic function does indeed define a discrete probability c) use another column on the table as needed to find the mean, also known as the expected value d) Use another column on the table as needed to find quantities needed to calculate the standard deviation.
- A continuous random variable is normally distributed. The probability that a value in the distribution is greater than 47 is 0.3085. Find the probability that a value in the distribution is less than 47.The score on an exam from a certain statistics class, X, is normally distributed with μ=78.2μ=78.2 and σ=8.2σ=8.2.NOTE: Assume for the sake of this problem that the score is a continuous variable. A score can thus take on any value on the continuum. (In real life, scores are often treated as if they were continuous values but are actually discrete in most cases.) (a) Write the event ''a score less than 70.2'' in terms of X: . (b) Find the probability of this event: (c) Find the probability that a randomly chosen score is greater than 85.7: . (d) Find the probability that a randomly chosen score is between 70.2 and 85.7Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnatito Tampa. Suppose we believe that actual flight times are uniformly distributed between2 hours and 2 hours, 20 minutes.a. Show the graph of the probability density function for flight time.b. what is the probability that the flight will be no more than 5 minutes late?c. what is the probability that the flight will be more than 10 minutes late?
- Lex X be a random variable with probability density function fx(x) given byWorkers at a large toxic cleanup project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult. Then μ = 7500 and σ ≈ 1750.† A random sample of n = 50 workers from the toxic cleanup site were given a blood test that showed x = 6750. What is the probability that, for healthy adults ,x will be this low or lower? (a) How does the central limit theorem apply? Explain. 1The central limit theorem describes the distribution of x as normal with mean μ x = 7500 and σ x ≈1750.0. The central limit theorem describes the distribution of x as normal with mean μ x = 7500 and σ x≈35.0. The central limit theorem does not apply because the sample size is too small. The central limit theorem describes the distribution of x as normal with mean μ x = 7500 and σ x ≈247.5. (b) Compute P(x ≤ 6750). (Round your answer to four decimal places.) P(x ≤ 6750) = 2 (c)…Sephora uses a continuous distribution to describe the sales from one of their beauty events. From business intuition the manager sees generally sales are from $100,000 to $150,000 in their location. What is the probability the sales is more than 120,000?
