B. The following table shows the probability distribution for the number of students absent from a statistics class. Page 4 of 10 Students Probability p(x) 1 0.12 2 0.15 0.18 4 0.15 0.26 0.14 Total 1.00 (i) Calculate the mean for this probability distribution (ii) Calculate the variance and standard deviation
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- The following table represents the number of free throws a typical NBA player makes in three attempts. Free Throws Made 0 1 2 3 Probability 0 0.3 0.4 What is the probability needed in order to make this a valid probability distribution? 0.4 0.2 1 0 None of the above What is the mean of this distribution? 0.25 0.233 1.5 2 None of the above What unit of measurement does the standard deviation have? No unit of measurement Free throws Square root of free throws Free throws squared None of the above, as it depends on the situationAnswer asap accurately The following table gives the joint probability distribution of the speed of a car ( C ) and the incidence of an accident ( A ) , where A =0 when no accidents have occured and A = 1 when an accident has occured: A=0 C= 20 kmph 0.1 C= 30 kmph 0.2 C= 40 kmph 0.1 A=1 C= 20 kmph 0.1 C= 30 kmph 0.3 C= 40 kmph 0.2 Calculate Var(C|A=1)Find the variance of the above random variable random variable
- The diameters of ball bearings are distributed normally. The mean diameter is 53 millimeters and the variance is 25. Find the probability that the diameter of a selected bearing is greater than 48 millimeters. Round your answer to four decimal places. Answer Tables Normal Table - to-z Z -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -1.9 -1.8 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00 -3.4 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0003 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0005 0.0005 0.0005 -3.2 0.0005 0.0005 0.0005 0.0006 0.0006 0.0006 0.0006 0.0006 0.0007 0.0007 -3.1 0.0007 0.0007 0.0008 0.0008 0.0008 0.0008 0.0009 0.0009 0.0009 0.0010 -3.0 0.0010 0.0010 0.0011 0.0011 0.0011 0.0012 0.0012 0.0013 0.0013 0.0013 -2.9 0.0014 0.0014 0.0015 0.0015 0.0016 0.0016 0.0017 0.0018 0.0018 0.0019 0.0019 0.0020 0.0021 0.0021 0.0022 0.0023 0.0023 0.0024 0.0025 0.0026 0.0026 0.0027 0.0028 0.0029 0.0030 0.0031 0.0032 0.0033 0.0034 0.0035 0.0036 0.0037 0.0038 0.0039…Find the mean of the following probability distribution? P(a) 0 0.1849 1 0.1895 2 0.0147 3 0.3983 4 0.2125 mean- (report answer rounded to one decimal place) Submit QuestionThe histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level. (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. Hurricanes 123450.00.10.20.30.40.5CategoryProbability0.4070.2870.2260.0680.012 A histogram titled Hurricanes has a horizontal axis labeled Category from 1 to 5 in increments of 1 and a vertical axis labeled Probability from 0 to 0.5 in increments of 0.05. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the category is listed first and the height is listed second: 1, 0.407; 2, 0.287; 3, 0.226; 4, 0.068; 5, 0.012. Each bar is labeled with its height. (a) The mean is nothing. (Type an integer or a decimal. Do not…
- Example: Finding the Mean, Variance, and Standard Deviation The table describes the probability distribution for the number children in homeschool families in North Bay. Find the mean, variance, and standard deviation for this probability distribution. x: number of children 0 1 2 3 4 5 6 Total P(x) 0 1/11 ≈ 0.09 4/11≈ 0.36 2/11 ≈ 0.18 2/11≈ 0.18 1/11≈ 0.09 1/11 ≈ 0.09 1Suppose you were given this Joint Probability Distribution: y = number of times city name is stated 1 Find the conditional mean and variance of Y|3 Mean = Blank 1 Variance = Blank 2 x = number of bars of signal strength 2 3 4 0.15 0.1 0.05 3 0.02 0.1 0.05 20.02 0.03 0.2 1 0.01 0.02 0.25 0.2 0.25 0.55 Marginal probability distribution of X Marginal probability distribution of Y 0.3 0.17 0.25 0.28Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.260 0.290 0.234 0.161 0.037 0.018 (a) Find the mean, variance, and standard deviation of the probability distribution.
- ols A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. 0 0 1 0.2447 2 0.3208 3 0.2415 4 0.1073 P(X=x) 0.0857 ... a. Find and interpret the mean of the random variable. =(Round to four decimal places as needed.) View an example Help me solve this Get more help. F5 A MacBook Air F6 F7 DII Clear all FB F9 I Check answer F10 F111. The number of defective parts of a machine with its corresponding probabilities is shown below. Compute for the mean and variance. Number of defective parts (X) Probability P(x) 2 10 3 10 10 10 2. The number of computers sold per day at a local computer store, along with its corresponding probabilities, is shown in the table. Find the mean and the variance of the probability distribution. Number of Items Sold (X) Probability P(X) 0.1 0.2 0.3 0.2 4 0.2The following table represents a Discrete Probability Distribution for the number of days it takes John’s Garage to repair vehicles for its customers. Number of days to repair a vehicle 1 2 3 4 5 6 7 Probability 26.7% 33.6% 15.8% 13.7% 6.3% 2.4% 1.5% With the aid of a table, calculate the following mean variance, and standard deviation