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.12345P(x) 0.1666 0.3292 0.2779 0.1492 0.0366 0.0405The 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 standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of theexperiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What propertyis 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= 1.682 hits(Round to three decimal places as needed.)Compute the theoretical standard deviation of the random variable X for the given probability distribution.hits(Round to three decimal places as needed.)ARost

We have given that the probability distribution of the random variable X represents the number of…

Answered: ... Compute the theoretical mean 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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Assume the random variable X is normally distributed, with mean u = 44 and standard deviation o = 4. Find the 6th percentile. The 6th percentile is (Round to two decimal places as needed.)
Suppose that the distance to a certain store (i.e., X) from your home follow a NORMAL probability distribution. A. X is an integer number and can be considered as a discrete random variable. B. X is a real number and should be considered as a continuous random variable. C. The standard deviation of X can be assumed to be a negative real number. D. The standard deviation of X can be assumed to be a negative integer number. E. The probability of “X=2 miles” may be equal to 0.1. F. None of the above.
Let X represent the amount of gasoline (gallons) purchased by a randomly selected customer at a gas station. Suppose that the mean value and standard deviation of X are 11.5 and 4.0, respectively. In a sample of 50 randomly selected customers, what is the approximate probability that the sample mean amount purchased is at most 60 gallons? 93.20% 0.40% 100.00% O 0.00%
5
24) The acidity of human blood, measured on a pH scale, is a normal random variable with a mean of 7.4 and standard deviation of 0.12. Find the probability that the acidity of a person's blood has a pH greater than 7.5. A. 0.1587 B. 0.7967 C. 0.8300 D. 0.1700
Assume that the probability of a being born with Genetic Condition B is p=11/30. A study looks at a random sample of 107 volunteers. E Find the most likely number of the 107 volunteers to have Genetic Condition B. (Round answer to one decimal place.) PH Let X represent the number of volunteers (out of 107) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0 = Use the range rule of thumb to find the minimum usual value μ-20 and the maximum usual value μ+20. Enter answer as an interval using square-brackets only with whole numbers. usual values= Question Help: Submit Question $ 4 R DE F C % Written Example Message instructor Jump to Answer 5 - T G Q Search ^ 40 6 H & 4- 7 B N D 4+ * J 00 8 - M ( 9 K ) O O L 2 - { E
T R 2. ZN In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.3 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 66 inches. The probability that the study participant selected at random is less than 66 inches tall is 0.2216. (Round to four decimal places as needed.) (b) Find the probability that a study participant has a height that is between 66 and 70 inches. The probability that the study participant selected at random is between 66 and 70 inches tall is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. parts 2. remaining Clear All Check Answer Type here to search 直。 3. F1 F2 F3 F4 F5 (口 PrtScn F8 i #3 2$ V 3. 4. 5. 6. 7. 8. E. D. H. C. B.
A certain make of car tyre can be safely used for 25 000km on average before it is replaced. The makers guarantee to pay compensation to anyone whose tyre does not last for 22 to 0km. They expect 7.5% of all tyres sold to qualify for compensation. Assuming that the distance X travelled before a tyre is replaced has a normal probability distribution. Use this information to answer questions 10-11. 11. Find the standard deviation of X.
Answer all parts
Suppose the random variable X follows a normal distribution with mean 70 and variance 100. Then the probability is 0.6826 that X is in the symmetric interval about the mean between two numbers are O A. None O B. 70 and 90 O C. -1 and 1 OD. 60 and 80
= Assume that the probability of a being born with Genetic Condition B is p random sample of 174 volunteers. 29/30. A study looks at a Find the most likely number of the 174 volunteers to have Genetic Condition B. (Round answer to one decimal place.) μ Let X represent the number of volunteers (out of 174) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0 = Use the range rule of thumb to find the minimum usual value µ-2o and the maximum usual value μ+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =
Assume the random variable X is normally distributed, with mean u= 57 and standard deviation o = 7, Find the 12th percentile. The 12th percentile is (Round to two decimal places as needed.)

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