Data TablesTable of the numbers of hits for 25 games1 2 12 3 3 3 32 125 1 1 22Table of the numbers of hits for 50 gamesO0 1213 313 2 5 1223 4 1 0 2 0 2 0 2 12 2 1 12 3 320|0|1|0|2|2|2 3 1 1 3 2 The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season.13X 024 5P(x) 0.1671 0.3335 0.2777 0.1482 0.0380 0.0355The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standarddeviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the randomvariable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated?Click the icon to view the data tables.Compute the theoretical mean of the random variable X for the given probability distribution.Hx= 1.663 hits(Round to three decimal places as needed.)Compute the theoretical standard deviation of the random variable X for the given probability distribution.x = 1.228 hits(Round to three decimal places as needed.)Approximate the mean of the random variable X based on the simulation for 25 games.X 1.96 hits(Round to three decimal places as needed)Approximate the standard deviation of the random variable X based on the simulation for 25 games.S≈ hits(Round to three decimbs places as needed.)A

Answered: Image /qna-images/answer/2143cfe8-2276-4927-ad99-2799a8d4e501.jpg

Answered: The probability distribution of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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a physical fitness association is including the mile run in its secondary school test. the time for this event for girls in the secondary school is known to posses a normal distribution with the mean of 450 seconds and standard deviation of 59 seconds. find the probability that a randomly selected girl in secondary school will take longer than 335 seconds to run the mile A. 0.5107 B. 0.9893 c. 0.0107 D. 0.4893
Measuring success as the ratio of runs/at-bats makes sense. Suppose the mean ratio for the league is 0.200 and is normally distributed with a standard deviation of 0.01. How could a manager apply the normal probability distribution (for recruiting) to determine if it is unusual that a random player has a ratio of 0.220?
The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random variable ranging from 3 to 9. what is the standard deviation of this random variable?
Eighty-three percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results find the mean, variance, and standard deviation
Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is greater than 8?
The weekly earnings of shift supervisors in the glass industry follow a normal probability distribution with a mean of $1,000 and a standard deviation of $100. What is the z value of income X of a supervisor who earns $1,100 per week? What about a supervisor who makes $900 a week?
34% of CSU students participate in the Statistics Games while they attend CSU. You take a random sample of 40 students. You want to determine the probability that more than 15 of them have participated in the Statistics games. Since the conditions are met, you decide to use the Normal model to find your answer. What is the mean and standard deviation of the sampling distribution?
Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is less than 8?
The full height of a certain species of tree has a normal probability distribution with a mean of 195.6 ft and a standard deviation of 7.5 ft. State the random variable. ¯x = the height of a certain species of tree ¯x = the mean height of a certain species of tree x = the height of a certain species of tree x = the diameter of a certain species of tree A tree of this type grows in my backyard, and it stands 187.4 feet tall. Find the probability that the height of a randomly selected tree is shorter than mine. Round to three decimal places.Which is the notation for the probability that the height is shorter than mine? P(x < 187.4) P(¯x < 195.6) P(¯x > 195.6) P(x > 195.6) P(¯x< 187.4) P(x < 195.6)
The median annual cost of auto insurance is $ 939 (According to DACO). Suppose the standard deviation is o = $ 241. What is the probability that in a simple random sample of auto insurance policies the sample mean differs more than $ 70.42 from the population mean if the sample size is 45? You must calculate the probability that the difference between the average cost in the sample and the average annual cost do not differ by $ 70.42. Find the probability that P (\ µ - š | 0) = P (-70.42 H-iS 70.42) Select one: a. The probability is 99% that the auto policy will not differ by $ 70.42 from the average annual cost. b. The probability is 50% that the auto policy will not differ by $ 70.42 from the average annual cost. c. The probability is 80% that the auto policy will not differ by $ 70.42 from the average annual cost. d. The probability is 70% that the auto policy will not differ by $ 70.42 from the average annual cost. e. The probability is 95% that the auto policy will not differ by $…
estions 1. Residents of rural Wisconsin drink an average of 4L of soda per week, with a standard deviation of 1L. What is the probability that a randomly-selected resident of rural Wisconsin drinks 5.5 to 6.8L of soda per week?
The probability is 0.02 that an item produced by a factory isdefective. A shipment of 10,000 items is sent to its warehouse. Find the expectednumber of defective items and the standard deviation.

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