a) What distribution does X follow? b) What is the probability that you see 19 walnut trees in an acre? c) What is the probability of seeing 0 walnut trees in a quarter acre? Make sure to define a random variable as necessary, and to state its distribution!

Q: Compute E(3X³), E(X), and E(2X2-2X+5) for the following density function: f(x) = x, 0<x<1 f(x) = a -…

A: fx=x, 0≤x&lt;1fx=a-x, 1≤x≤2fx=0, otherwise

Q: A bag contains 7 coins, 2 of which have a head on both sides while the other 5 coins are normal. A…

A: The total number of coins is 7, 2 of which have a head on both sides and the other 5 are normal.

Q: The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000…

A: given  μ=16541σ =2097

Q: n the toal US population, it is believed that only 12% of adults are lactose intolerant. if 200 US…

A: In this case, each considered US adult has the only options of being "lactose intolerant" (defined…

Q: The mean is 395.5 and the standard deviation is 24.2. (Round to the nearest tenth as needed.) -…

A: The data is as follows: Population mean, μ=395.5 Population sd, σ=24.2

Q: Use the accompanying 200 Los Angeles commute times to test the claim that the mean Los Angeles…

A: For the given information    It is already answered that  The null and alternative hypothesis are…

Q: Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials,…

A: Given that, The sample size n=5765 The favorable outcomes X=152 The level of significance α=0.01 The…

Q: M (t) = c) Calculate P(X ≥ 2). 0.2 +0.4e5t +0.1e20t ) Find the pmf of X. Find the values of E(X+3)…

A:

Q: Suppose you are given the following five pairs of scores: X Y 4 2 1 3 4 6 10 у 4 2 9 Create a…

A: Coefficient correlation : The Pearson correlation coefficient is a measure of linear correlation…

Q: Calculate the conditional distribution (in propor- tions) of responses for each group of parents.…

A: The data about high school performance was collected from three groups Black, Hispanic, and White…

Q: Persons who visit the restroom of a certain fast-food outlet were asked to state their opinion of…

A: i) It is needed to check whether there is an association between the gender of persons and their…

Q: 4-59. In building electronic circuitry, the breakdown volt- age of diodes is an important quality…

A: a)- To check the normality assumption, we can create a histogram and a normal probability plot: Here…

Q: Compute the standard error for sample proportions from a population with proportion p = 0.75 for…

A: population with peoportionp=0.75we have to find out the standard error for the given data.

Q: 17. A set of data has a normal distribution with a mean of 22 and a standard deviation of 5. What…

A: 17)  Mean μ=22 Standard deviation σ=5     NOTE: Hi there! Thanks for posting the question. Since you…

Q: t z be a random variable with a standard normal distribution. Find the indicated probability. (Round…

A: Let z be a random variable with a standard normal distributionX~N(0,1)μ=0σ=1P(−2.12 ≤ z ≤ −0.38) = ?

Q: The following graph shows the weight recorded by 50 women on the first day of the gym (the values at…

A: On X-axis ( weight given in the form of classes )  On Y-axis ( frequency for classes given )  Total…

Q: A group of 11 students' cholesterol levels are tested. Suppose the probability of a student having a…

A: sample size(n)=11Probability of a student  having a healthy cholesterol level(p)=0.25

Q: a) If someone, is selected from this survey at random, what is the probability that the person is…

A: Research company conducted a survey and collected demographics information on the respondents from…

Q: A random sample of 171 marketing students was asked to rate, on a scale from 1 (not important) to 5…

A: From the provided information, Sample size (n) = 171 Sample mean (x̄) = 3.07 Sample standard…

Q: According to a study, the proportion of people who are satisfied with the way things are going in…

A: Note: “ Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: Part E: After a period of time, suppose that there is no difference in the average BMI from group to…

A: An experimental study is given based on the exposure to sunshine.

Q: What is the upper bound of the confidence interval?

A: It is given that 44 of 80 randomly selected recommendations from several randomly selected episodes…

Q: For this question, create a new column in the dataset where total rainfall is just the sum of our…

A: (c) The first difference of crop yield can be computed by subtracting the previous crop yield value…

Q: In a recent year, the scores for the reading portion of a test were normally distributed, with a…

A: μ=21.5, σ=6.4

Q: 28. In an experiment to leam whether Substance M can help restore memory, the brains of 20 rats were…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Trials in an experiment with a polygraph include 96 results that include 23 cases of wrong results…

A: Given: Sample size (n) = 96 From which 73 cases of correct results. Significance level(α) = 0.05

Q: Use the t-distribution to find a confidence interval for a mean given the relevant sample results.…

A:

Q: Consider a list of data points with the following stats:    n = 15 min = -5 max = 15 mean =…

A: The IQR based limits to detect the outliers are: Upper limit = Q3 + 1.5 * IQR = 7.5 + 1.5 * 4.5 =…

Q: How are schools doing? he nonprofit group Public Agenda conducted telephone interviews with three…

A: The data about high school performance was collected from three groups Black, Hispanic, and White…

Q: A survey of attendance records shows that high school seniors average 10.5 sick days per school year…

A: Let, x denotes sick days per school year of high school seniors. It is given that- x~N10.5,5.25

Q: Consider a sample with a mean of 30 and a standard deviation of 5. Use Chebyshev's theorem to…

A:

Q: We want to determine if the true proportion of students who do aerobics is less than 45%. Which are…

A: Suppose P is the true proportion of students who do aerobics.

Q: 2. Based on data collected by the National Center for Health Statistics, an estimate of the…

A: Answer: From the given data, The estimate of percentage of adults who have at some point in their…

Q: Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.72.7…

A: Answer  Given  a mean of 2.7 feet and a standard deviation of 0.2 feet. A sample of 63 men’s step…

Q: Explain what restriction of range is and what it tends to do to the magnitude of a correlation.

A: To explain: Restriction of range What restriction of range tends to do to the magnitude of a…

Q: You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the…

A: It is needed to perform a multinomial hypothesis test for the claim that the 4 categories occur with…

Q: There are 20 crew members at a given university. What is the probability that their mean BMI will be…

A: n=20, σ=5

Q: What is the approximate percentage of buyers who paid between $1560 and $1800? 196 What is the…

A: The population mean is $1800 and standard deviation is $80. It is also given that the graph…

Q: Using the information above, compute the probability that a random picture we found from the…

A: Here given ,  6. You are using an AI to determine if an image contains a cat or not. Suppose the…

Q: b. Complete the following table of expected counts under the assumption that the null hypothesis is…

A: 6.

Q: that corresponds to the indicated probability. The probability that the number of correct answers is…

A: The probability that the number of correct answers is between 29 and 41 inclusive.

Q: A random sample of 845 births included 435 boys. Use a 0.10 significance level to test the claim…

A:

Q: 11) The student body of 10 students wants to elect a president, vice president, secretary, and…

A: The student body of 10 students wants to elect president, vice president, secretary and treasurer..…

Q: Now consider Table 3. In that table, find where it states 0.76**. What does that 0.76 mean, and what…

A: Variables KRA Frag TST WASO SE SOL Awakenings KRA -             Frag 0.43** -           TST(h)…

Q: c) Would it be appropriate to use these data to create a confidence interval for the number of folds…

A: Given that mean = 72 and median = 78

Q: Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a…

A: Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a…

Q: Consider the following time series data:   Month 1 2 3 4 5 6 7 Value 25 12 19 13 18 22 14…

A: Month : {1,2,3,4,5,6,7} Value : {25,12,19,13,18,22,14} We have to calculate :  MSE and forcast for…

Q: Each member of a random sample of 17 business economists was asked to predict the rate of inflation…

A: Sample size, n=17 Population standard deviation, σ=1.9%

Q: What is the lowest rating you should give to a​ "competent" employee if you follow the​ university's…

A: Let X be the random variable that rating. X ~ N(μ=45, σ=13) The percentages given are, Exemplary…

Q: Twelve homemakers were asked to estimate the retail selling price of two models of refrigerators.…

A: The null and alternative hypotheses are: H0: The median selling price of Model 1 is equal to the…