A population of values has a normal distribution with u = 182.1 and o = 28.9. You Intend to drawa random sample of size n = 18.Find the probablity that a single randomly selected value is less than 177.3.P(X < 177.3) =Find the probability that a sample of size n = 18 is randomly selected with a mean less than 177.3.P(M < 177.3) =Enter your answers as numbers accurate to 4 decimal places. Answers obtalned using exact z-scoresor z-scores rounded to 3 decimal places are accepted.

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Answered: A population of values has a normal…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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a population of values have a normal distribution with a mean of 123.1 and a SD of 11.3 you intend to draw a random sample of size n=152 find the probability that a sample of size n=152 is randomly selected with a mean less that 125.4
A population of values has a normal distribution with a-181 and o-41.8, You intend to draw a random sample of size rn 144, Find the probability that a single randomly selected value is between 176.5 and 183.1. P(176.5 X< 183.1) = Find the probability that a sample of size n = 144 is randomly selected with a mean between 176.5 and! 183.1. P(176.5 M< 183.1) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z Scores rounded to 3 decimal places are accepted.
4
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1463 and the standard deviation was 314. The test scores of four students selected at random are 1870, 1220, 2190, and 1340. Find the z-scores ← that correspond to each value and determine whether any of the values are unusual. F1 The z-score for 1870 is (Round to two decimal places as needed.) The z-score for 1220 is. (Round to two decimal places as needed.) The z-score for 2190 is (Round to two decimal places as needed.) The z-score for 1340 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are. (Use a comma to separate answers as needed.) OB. None of the values are unusual. F2 80 F3 000 000 F4 F5 ^ MacBook Air F6 & A D F7 * DII F8 DD F9 ) J 운 F10 I a F11 + Next F12 delete
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !
A random number generator picks a number from 6 to 65 in a uniform manner. Round answers to 4 decimal places when possible. The mean of this distribution is . The standard deviation is . The probability that the number will be exactly 48 is P(x=48)=P(x=48)= . The probability that the number will be between 17 and 22 is P(17<x<22)=P(17<x<22)= . The probability that the number will be larger than 50 is P(x>50)=P(x>50)= . P(x>24∣x<57)=P(x>24∣x<57)= . Find the 21st percentile. Find the minimum for the upper quarter.
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
A population of values has a normal distribution with u = 238.2 and o = 78. You intend to draw a random sample of size n = 18. Find the probability that a single randomly selected value is less than 249.2. P(X < 249.2) = Find the probability that a sample of size n = 18 is randomly selected with a mean less than 249.2. P(M < 249.2) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 1.0 minutes and standard deviation of 0.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 11 customers in the first line and n2 = 30 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.5 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i
A population of values has a normal distribution with �=114.8 and �=98.1. You intend to draw a random sample of size �=228.Find the probability that a single randomly selected value is between 111.6 and 130.4.P(111.6 < X < 130.4) = Find the probability that a sample of size �=228 is randomly selected with a mean between 111.6 and 130.4.P(111.6 < M < 130.4) =
A population of values has a normal distribution with u = 109.3 and o = 35.7. You intend to draw a random sample of size n = 145. Find the probability that a single randomly selected value is greater than 116.1. P(X > 116.1) = Find the probability that a sample of size n = 145 is randomly selected with a mean greater than 116.1. P(M > 116.1) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
A population of values has a normal distribution with u 54.4 and o = 74.1. You intend to draw a random sample of size n = 195. Find the probability that a single randomly selected value is greater than 68.7. P(X> 68.7) =| Find the probability that a sample of size n = 195 is randomly selected with a mean greater than 68.7. P(M > 68.7) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. Submit Question hp %24 & 96

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