Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find theprobability of obtaining a reading between -0.276°C and 0°C.P( – 0.276 < Z < 0) =

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Answered: Assume that the readings at freezing on…

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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The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 32 liters, and standard deviation of 6.8 liters. Let X be the production of a randomly selected cow in liters. a. What is the distribution of X? X - N✓ o 32 ✓ 0° 6.8 Please show the following answers to 4 decimal places. b. If a cow is randomly chosen, find the probability that its production is more than 28.6 liters. c. If a cow is randomly chosen, find the probability that its production is between 35.4 and 38.8 liters. Please show the following answer to 1 decimal place. d. The 79th percentile of the milk production is how many liters?
Assume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. The probability is 0.6844. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. The probability is (Round to four decimal places as needed.)
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Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is 0.7123. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is 0.9974. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OC. Since the distribution is of…
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Assume x is normally distributed with a mean of 2 and a standard deviation of 2. Find: a.P(X=2) b.P(X<2) c.P(X>=2) d.P(2 < X < 4)
1. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than -2.51°C.P(Z<−2.51)= 2. Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than 0.952°C.P(Z>0.952)= (Round to four decimal places)
Enter a value for π. A die is rolled until it shows 6. Denote the number of times it was rolled by X. Compute: E(X): Standard deviation of X: (enter at least 3 decimal places).
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than -2.451 C. P(Z < - 2.451) (Round your answer to 4 decimal places.) Submit Question 9. 3 y W e
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Let Z represent the reading of this thermometer at freezing. What reading separates the highest 5.66% from the rest? That is, if P(z > c) = 0.0566, find c. с — °C
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Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of O°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -0.276°C and 0°C. P( – 0.276 < Z < 0) =