A bag contains seven balls numbered 1,2,3,3,3, and 4. Let X be the random variable representing the square of selected number ball and then subtracting 4. Compute the mean and variance of the random variable X
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A bag contains seven balls numbered 1,2,3,3,3, and 4. Let X be the random variable representing the square of selected number ball and then subtracting 4. Compute the mean and variance of the random variable X
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- If it is known that the percentage of successful students is 75%, and you take a sample of 15 students, calculate 1. The probability of having 10 successful bears 2. The probability of success of more than 13 students 3. varianceTwo coins are selected from a pocket that contains 3 nickels and 4 quarters. The random variable is the total value in cents of the 2 selected coins. Find the probability distribution. Find the expected value, variance, and standard deviation.A die is rolled repeatedly until a 6 falls uppermost. Let the random variable X denote the number of times the die is rolled. What are the values that X may assume?
- 7. The probability of a random customer ordering a vegetarian meal in the Ampala restaurant is 0.2 Find the mean and variance of the vegetarian meals in a total of 40 orders. Express your answer in whole numberIn the airline business, "on-time" flight arrival is important for connecting flights and general customer satisfaction. Is there a difference between summer and winter average on-time flight arrivals? Let x1 be a random variable that represents percentage of on-time arrivals at major airports in the summer. Let x2 be a random variable that represents percentage of on-time arrivals at major airports in the winter. A random sample of n1 = 16 major airports showed that x1 = 74.9%, with s1 = 5.3%. A random sample of n2 = 18 major airports showed that x2 = 70.2%, with s2 = 8.6%. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Does this information indicate a difference (either way) in the population mean percentage of on-time arrivals for summer compared to winter? Use α = 0.05. (i) What is the…Part I A bakery sells homemade bread by the loaf and sales are uniformly distributed between 200 and 600 loaves per day. a. Find the probability of selling 240 loaves on a given day. b. Find the probability of selling between 250 and 260 loaves per day Part II The golf balls produced by TruGolf have a mean distance of 250 meters and a variance of 625 meters. c. How large a sample of TruGolf balls should be taken if they want to estimate with 90% confidence the mean distance to within 8 meters? d A random sample of 40 balls from TruGolf are selected. Find the Bound of Error when the confidence level is 95% for TruGolf
- 2. A box contains 10 balls. One is numbered 1, two are numbered 2, two are numbered 3, two are numbered 4, and three are numbered 5. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance of the numbers on the balls. (Round off your final answer to 2 decimal places).2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2Let random variable X be the number or heads showing in tossing 3 coins. Present the probability distribution(tabular) of the said random experiment.
- A manager of a product sales group believes the number of sales made by an employee (Y) depends on how many years that employee has been with the company (X1) and how he/she scored on a business aptitude test (X2). A random sample of 8 employees provides the following (refer Table 4): Employees y X1 X2 1 100 9 6 2 90 4 10 3 80 8 9 4 70 5 4 5 60 5 8 6 50 7 5 7 40 2 4 8 30 2 2 (a) Run a regression analysis based on the data in Table 4 using Mic. Office EXCEL. Based on theoutput, propose a regression equation that can be used to predict paralegal GPA.(b) Interpret the coefficient value of each independent variable in the constructedmodel(c) Is each independent variable sharing a significant linear relationship with the dependent variable?Verify at 0.05 level of significance. Make your conclusion based on the p-value in the EXCEL output.The 5 crew members of the exploration team of the spaceship Enterprise under the command of Captain Kirk are 162, 172, 177, 180 and 184 cm in height, respectively. Calculate the expected value and variance of the height of a randomly selected person among these 5 crew members. ( explaining them to someone who does not know anything about the subject)Total blood volume (in mi) per body wight (in ke) is important in medical research. For healthy aduks, the red blood cell volume mean is about p = 28 ml/kg.t Red blood cell vokume that is too lom ar too high can indicate a medical problem. Suppose that koger has had seven blood tests, and the red blood cell volumes weré as follows Let x be a random variable that represents Roger's red blood cll volume. Assume that x has a narmal distributian and - 4.75. Do the data indicate that koger's red blood cell valume is different (either way) from a- 28 mi/kg? Use a 0.01 lervel of significance. a What is the leval of sigaicance State the null and alternate hypotheses. Will you use a left-lailed, right-laded, or two-tailed test? O H: - 28 ml/kg; H: 2s m/kg; Ima-tailed o Ho: - 28 ml/ka; H 28 m/ka, let-tailed O Ho: 28 mil/kg: H1:- 28 ml/kg; tmo-tailed O Ho: 28 m/ka, H > 28 m/kg; right-laiked (b) What sampling distribution wil you use? Explain the rationale for your choice of sampling distributian.…