J17. A normai distribution has a mean of so and a standard deviation0fイ.thea.compule pro babiluty OFa value belween 49.0 andss.0b.compute the proboability of aualue greater than S5 0C. compute the probability oF a value beiwen szo and ss 0

Given: Population mean = 50 Population standard deviation = 9 X ~N (50, 92)

Answered: 7.A normai distributi on has a mean Of…

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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17).
3. The thickness of a road is nommally distribuned with standard deviation 5.8 cm. A random sample of 15 roads were taken If the probability that the sample mean road thickness is at least 10.2 cm is K2, whut is the average thickness of all the roads
A. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the probability that the sum of the 40 values is less than 6,900. (Round your answer to four decimal places.) B. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the sum that is one standard deviation below the mean of the sums. (Round your answer to two decimal places.) C. The distribution of results from a cholesterol test has a mean of 180 and a standard deviation of 20. A sample size of 40 is drawn randomly. Find the sum that is 1.4 standard deviations below the mean of the sums. (Round your answer to two decimal places.)
2. The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed. a. If a single egg is selected, find the probability that the mean of the sample will be greater than 220 milligrams. b. If a sample of 25 eggs is selected, find the probability that the mean of the sample will be larger 220 milligrams.
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a newspaper article, the mean of the x distribution is about $34 and the estimated standard deviation is about $9. You can usee Part A and B as a reference, but I do not need help with answering them. c) Let us assume that x has a distribution that is approximately normal. What is the probability that x is between $32 and $36? (Round your answer to four decimal places.) (d) In part (b), we used x, the average amount spent, computed for 60 customers. In part (c), we used x, the amount spent by only one customer. The answers to parts (b) and (c) are very different. Why would this happen? Select one of the options: A. The standard deviation is smaller for the x distribution than it is for the x distribution. B. The mean is larger for the x distribution than it is for the x distribution. C. The standard deviation is larger for the x distribution…
Provide an original example of some practical case where we can use the normal distribution (e.g., IQ scores follow a normal distribution of probabilities with a mean IQ of 100 and a standard deviation of 15 IQ points.). Assign your numbers for mean 70 and standard deviation 30. Make sure 70 is about four times bigger than 30. Then select any number 90 below or above mean 70, but not too far from 70. Find following two probabilities: 1) P(x < a)2) P(x > a)Use the formula z = (a - μ)/σ to calculate your z-value. Please refer to the Appendix Table for the Standard Normal Distribution Hint: To find P(x>a) use formula: P(x>a) = 1 - P(x<a). Describe how to would find P( 65 < x < 25). Provide an original example to illustrate how to find such probabilities.
45. Suppöse the average height of NBA players is normally distributed with mean 200cm and standard deviation 8.89cm. What is the probabilíty that a randomly selected players will have a height between 190cm and 210cm? M= 200 a. 0.7288 b. 0.7372 8=8.89 C. 0.1314 d. 0.7698 e. 0.8686
23. Cholesterol Content The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assunme the vari- able is normally distributed. a. If a single egg is selected, find the probability that the cholesterol content will be greater than 220 milligrams. b. If a sample of 25 eggs is selected, find the probabil- ity that the mean of the sample will be larger than 220 milligrams.
4. The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 25 minutes and a standard deviation of 3 minutes. Find the probability that the time between taking the medication and getting relief is as follows. a. At least 30 minutes b. At most 20 minutes 5. All incoming freshmen at a major university are given a mathematics diagnosti exam. The scores are normally distributed with a mean of 120 and a standa deviation of 25. If a student scores less than a certain score, he or she will have undergo an intervention program. Find the cutoff score at which 64% of the stude would have to undergo the intervention program. 2021.04.10 09:47
21. Assume a binomial probability distribution has = 0.60 and n = 200 a. What is the mean and standard deviation? b. Is this a situation in which binomial probabilities can be approximated by the normal probability distribution? Explain. c. What is the probability of 100 to 110 successes? d. What is the probability of 130 or more successes? e. What is the advantage of using the normal probability distribution to approximate the binomial probabilities? Use part (d) to explain the advantage.

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7.A normai distributi on has a mean Of So and a standard deviation Of a. a. compule probabiluty OF a value beiween 44.0 ands5.0 the b. compute the probability of a value areater than s5.0 C. compute the probability OF a valu e beiwen szo and sS.0