Assume a population of 5 items manufactured, and their respective diameters in mm: 16, 14, 15, 17, 18. a) Find the probability distribution function of all possible sample means of samples size n=2. b) Find the population mean μ. c) Find the mean and SD of the sample means μ and ox.
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- Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of u 1.3 parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.) b. If 16 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. and a standard deviation of a 5.1 kg. Complete OC. Since the…A. Classify each random variable as discrete or continuous. 1. X: Number of women among 20 newly hired teachers 2. Y: Height (in centimeters) of a 30 randomly selected adult males 3. Z: Number of car accidents among 8 selected cities 4. A: Amount of rainfall (in millimeters) in different cities in Metro Manila 5. B: Number of gifts received by 20 students during Christmas season2) Consider a standard normal random variable X and Y-Exp(ß = 1). If W = 2Y and Z = VIX, then a) State with parameter(s) the probability distribution of Z. b) Find the mean and variance of Z. c) d) Find the value of T if P(Z > T): 1000 Compute the probability that Z is at most 6.97.
- only three partsUse the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 4 Probability 0.259 0.281 0.240 0.159 0.044 0.017 a) Find the mean, variance, and standard deviation of the probability distribution. he mean is Round to one decimal place as needed.)Consider the bivariate distribution for the random variables x and y. The correlation coefficient of x and y is the covariance a. Consider the bivariate distribution for the random variables x and y. The correlation coefficient of x and y is the covariance b. multiplied by the product of the standard deviations for x and y. c. multiplied by the standard deviation of y and divided by the standard deviation of x. d. multiplied by the standard deviation of x and divided by the standard deviation of y.
- Please only explain how to do part bGiven independent random variables X and Y, with means and standard deviations as shown below, find the mean and standard deviation of each of the random variables below. Also, X1 and X2 are independent variables with the same distribution as X. c) X+Yd) X-Ye) X1+X2 Mean SD x 10 2 y 20 5Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of home runs in a baseball game b. The last book a person in City A read c. The number of textbook authors now eating a meal d. The time it takes for a light bulb to burn out e. The square footage of a pool
- Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number of hits to a website in a day b. The weight of a T-bone steak c. The gender of college students d. The number of statistics students now reading a book e. The number of textbook authors now sitting at a computer f. The number of people in a restaurant that has a capacity of 200 a. Is the number of hits to a website in a day a discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable Clear all FirN check View an example Get more help - Help me solve this Copyright © 2022 Pearson Education Inc. All rights reserved. I Terms of Use | Privacy Policy I Permissions | Conta 80°F Mostly cloudy ere to search hpa) Find complete probability distribution if n=5 and p=2/3. b) The owner of a retailing organization is interested in the relationship between price at which a commodity is offered for sale and the quantity sold. The following sample data have been collected Price Quantity sold| 118 105 112 100 1li 108 95 88 9i 96 | 25 45 30 50 35 40 65 75 70 60 Find coefficient of determination, also interpret the result.Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The amount of rainfall in a country in a year b. The last book a person in City A read c. The time it takes to drive from City A to City B d. The weight of a hamburger e. The number of people with blood type B in a random sample of 32 people f. The number of home runs in a baseball game a. Is the amount of rainfall in a country in a year a discrete random variable, continuous random variable, or not a random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable. b. Is the last book a person in City A read a discrete random variable, continuous random variable, or not random variable? O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable. c. Is the time it takes to drive from City A to City Ba discrete randoni variable, continuous random…