Answered: 3- 3 f(r) = I = 0,1,2, 3.

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 that the readings on the thermometers are normally distributed with a mean of 0° and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability of each reading in degrees. (a) Between 0 and 1.48: (b) Between -1.84 and 0: (c) Between –0.0299999999999998 and 2.06: (d) Less than -0.23: (e) Greater than -0.11:
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.1 kg and a standard deviation of σ = 4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2658. (Round to four decimal places as needed.) b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.)
Assume that women's heights are normally distributed with a mean given by μ=63.5 in,and a standard deviation given by σ=2.3 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 64 in. (b) If 48 women are randomly selected, find the probability that they have a mean height less than 64 in. (a)The probability is approximately ?
In the US, the systolic blood pressure of a randomly selected patient is normally distributed with a mean of 120 mmHg and a standard deviation of 16.1 mmHg. Let X be the systolic blood pressure of a randomly selected patient and let X be the average systolic blood pressure of a random sample of size 14. 1. Describe the probability distribution of X and state its parameters μ and σ: or (μ= 12✓ and find the probability that the systolic blood pressure of a randomly selected patient is less than 85.2 mmHg. X~N X~ N 2 (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the original population is normally distributed although the sample size is small (n X 4. and find the probability that the average systolic blood pressure of a sample of 14 randomly selected patients is between 110.3 and 111 mmHg. 0.0 (Round the answer to 4 decimal places)
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.1 kg and a standard deviation of o=4.9 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.) -C
Find the standard deviation, s, of sample data summarized in the frequency distribution table given below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 9.0. SE n[Σ(f•x)] - [Σ«•x] n(n-1) Interval Frequency Standard deviation = 30-36 2 (Round to one decimal place as needed.) 37-43 18 C 44-50 43 51-57 21 58-64 9 65-71 5 D
The time (in minutes) it takes Greg to complete a homework problem is uniformly distributed (continuously) on the interval (15, 28). What is the standard deviation of the time it takes to complete a homework problem?
Central High School believes their students have unusually high SAT scores on average. The school has 165 students.Based on national data, the average SAT score is 1067 with a population standard deviation of 207. Assume SAT scores are normally distributed. Let X be the random variable representing the mean SAT scores for groups of 165 randomly selected students.a. Fill in the blank, rounding your answers to 2 decimal places if needed. According to the Central Limit Theorem, X is approximately normal with a mean of and a standard error of the mean .b. Find the z-score associated to a sample with a mean of 1109, using the sampling distribution. Round your answer to two decimal places. c. Find the probability that a randomly selected sample of 165 students has a mean SAT score higher than 1109. Round your answer to 4 decimal places. d. Central High School finds that for their students, the average SAT score is 1109. Are they justified in saying their students perform unusually well on…
Assume that the readings at freezing on a bundle 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 -0.04°C.P(Z<−0.04)=
Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−b<z<b)=0.206P(-b<z<b)=0.206, find b.
Assume that the readings at freezing on a bundle 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 0.514°C. P(Z > 0.514)
Assume that the readings at freezing on a bundle 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 -1.171°C.P(Z < − 1.171)=

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