Find the expected value E(X) of the following data. Round your answer to one decimal place. X 5 6 7 8 9 P(X = x) 0.2 0.2 10 0.1 0.2 0.3
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- Terri Vogel, an amateur motorcycle racer, averages 129.69 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.25 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the proportion of her laps that are completed between 127.93 and 130.17 seconds. c. The fastest 4% of laps are under seconds.d. The middle 60% of her laps are from seconds to seconds.Q.8The following table shows the hot dogs bought from a street vendor over the course of eight days ("Demand"). Also shown is the temperature for each day in degrees Celsius. Temperature (°C) 22 12 22 18 7 14 18 21 Demand 47 28 36 41 16 25 41 33 R2=0.719 Calculate the test statistic. F= (Round to two decimal places as needed.)
- please helps11.3 In a recent survey, 10,000 households were randomly selected. One of the questions on the survey asked how many TVs they had. The results are given in the table below. Number of TVs to number of households # of TVs # of Households P(X=x) 0 160 1 3140 2 3790 3 1920 4 780 5 210 Total 10,000 e) What is the average number of TVs in a household?
- Terri Vogel, an amateur motorcycle racer, averages 129.45 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.29 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N()b. Find the proportion of her laps that are completed between 130.57 and 132.63 seconds. c. The fastest 3% of laps are under seconds.d. The middle 50% of her laps are from seconds to seconds.Terri Vogel, an amateur motorcycle racer, averages 129.52 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.28 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the proportion of her laps that are completed between 128.63 and 129.99 seconds.c. The fastest 3% of laps are under seconds.d. The middle 80% of her laps are from seconds to seconds.Send data to Excel Observed frequency fo Expected frequency ƒE 2 (fo-fe) ƒE Winter Spring Summer 35 1 ☐ 23 37.50 5.607 44 37.50 Fall 48 П 1.127 1 Total 150 X
- Time 1 Time 2 Time 3 Time 4 Time 5 Time 6 (s) (s) 112 (s) 162 (s) 218 (s) 273 (s) 333 Student 1 55 Student 2 64 128 192 260 331 393 Using the experimental data, calculate the average time per lap (in s) for student 1. Round your answer to 1 decimal place. Using the experimental data, calculate the uncertainty (ie. the standard error, in s) on the average time per lap for student 1. Round your answer to 2 decimal places. From the experimental data, it is possible to find a student's average speed as he runs around the track. Calculate the average speed (in m/s) for student 1 as he runs the 6 laps. Round your answer to 2 decimal places.Find the marginal probability of X = 1. %3D Y 1 3 5 1 0.05 0.05 0.05 0.1 0.2 3 0.1 0.35 0.1 Round your answer to 3 decimal places. 2.
