The Brac University Basketball Team is looking for new players to join the team. The heights of all the try-out participants is known to follow a normaldistribution with a mean of 167 cm and a standard deviation of 10 cm. To have a shot at joining the team, one must have a height between 158 cmand 184 cm; otherwise the team may end up imbalanced and incompatible.a. What is the probability that a randomly selected try-out participant will not satisfy the height requirements?Answer in exact fraction, or rounded to at least 4 decimal places.b. Determine the 72 percentile value for the height of the participants.Answer in exact fraction, or rounded to at least 2 decimal places.cmc. Participants who fall among the lower 7.47% of the accepted height range are required to qualify in some additional physical tests. So, what shouldthe minimum height of an applicant be if they are to skip the additional physical tests?Answer in exact fraction, or rounded to at least 2 decimal places.cm

Answered: Image /qna-images/answer/67fd2db7-53c9-4d6a-a276-a3da206ff414.jpg

Answered: The Brac University Basketball Team is…

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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Given a normal population whose mean is 580 and whose standard deviation is 37, find each of the following: A. The probability that a random sample of 5 has a mean between 583 and 593.Probability = B. The probability that a random sample of 17 has a mean between 583 and 593.Probability = C. The probability that a random sample of 28 has a mean between 583 and 593.Probability =
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 119 cm and a standard deviation of 5.7 cm. A. Find the probability that one selected subcomponent is longer than 121 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 121 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 121 cm. Probability =
A ski lift states a maximum capacity is 12 people or 2004lb. A worst-case scenario would be 12 adult male passengers since they tend to be heavier verse women and children. Assume adult male weights are normally distributed with a mean of 188.6 lb and a standard deviation of 38.9 lb. A. If 12 men weighed exactly 2004 lb, what would be the average weight? B. Find the probability that a single man will have a weight greater than your result from A. C. Find the probability that a single man will have a weight greater than your result from A. Does the ski lift appear to have the correct weight limit from these results?
1. The full weight of a brand of a pack of sweet potato fries is a random variable with u = 450 g and 6 = 5.1 g. Assume that you pick a random of pack from the population. a. Find the proportion of packs that contain less than 440g.
According to the bureau of labor statistics the average weekly pay for a U.S production worker was $441.Assume that available data indicate that production worker wages were normally disturbed with a standard deviation of $90 a.What is the probability that a worker earned between $400 and $500 per week? b.How much did a production worker have to earn per week to be in the top 20% of wages earners? c.For a randomly selected production,what is the probability the worker earned less than $250 per week?
The Brac University Debate Team is looking for new members to join the team. The IQ of all the try-out participants is known to follow a normal distribution with a mean of 97 points and a standard deviation of 17 points. To have a shot at joining the team, one must have an IQ between 87 points and 122 points; otherwise the team may end up imbalanced and incompatible. a. What is the probability that a randomly selected try-out participant will not satisfy the IQ requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 80 percentile value for the IQ of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. points c. Team members with IQ among the bottom 11.58% of the accepted range are required to attend extra training sessions. What should be the minimum IQ of a debater who wishes to avoid the extra training sessions? Answer in exact fraction, or rounded to at least 2 decimal places. points
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 115 cm and a standard deviation of 5.5 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 117 cm. Probability =
6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?

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