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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- What is the distribution of X? X ~ (,)
Please show the following answers to 4 decimal places.
- If a cow is randomly chosen, find the
probability that its production is more than 11.5 liters. - If a cow is randomly chosen, find the probability that its production is between 40.9 and 55.6 liters.
- The 72nd percentile of the milk production is how many liters?
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- Assume that adults have IQ scores that are normally distributed with mean of mu = 100 and a standard deviation sigma=20, Find the probability that a randomly selected adult has an IQ 80 and 120 the probability that a randomly selected adult has an IQ between 80 and 120 is (type an integer or decimal rounfed to four decimal places as needed)arrow_forwardAssume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard deviation σ= 15. Find the probability that a randomly selected adult has an IQ less than 127. The probability that a randomly selected adult has an IQ less tha 127 isarrow_forwardThe combined SAT scores for the students at a local high school are normally distributed with a mean of 1490 and a standard deviation of 298. The local college includes a minimum score of 2056 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement?P(X < 2056) =arrow_forward
- Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?arrow_forwardToday, the waves are crashing onto the beach every 4.9 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.9 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 0.6 seconds after the person arrives is P(x = 0.6) =arrow_forwardThe lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days. Let X be the length of a randomly recorded pregnancy in the village. What is the distribution of X? X ~ N (,) Please show the following answers to 4 decimal places. If a pregnancy randomly chosen in the village, find the probability that it lasted less than 244 days. If a pregnancy randomly chosen in the village, find the probability that it lasted between 290 and 298 days. Please show the following answer to a whole day. The 72nd percentile pregnancy length in this village is ___________ days.arrow_forward
- Assume that adults have IQ scores that are normally distributed with a mean of mu = 100 and a standard deviation sigma = 20. Find the probability that a randomly selected adult has an IQ between 84 and 116 and type an integer or decimal rounded to four decimal places. Make sure to use the positive or negative z score charts attached, in the eBook on MSL, or in a hardcopy of the textbook.arrow_forwardAssume that adults have IQ scores that are normally distributed a mean of adult has an IQ less than 132 mu = 105 and a standard deviation sigma = 15 . Find the probability that a randomly selected adult has an IQ less than 132 the probability that a randomly selected adult has an IQ less than 132 is (type an integer or decimal rounded to four decimal places as needed)arrow_forwardToday, the waves are crashing onto the beach every 6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 6 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 3.9 seconds after the person arrives is P(x = 3.9) =arrow_forward
- The amounts of sugar in a serving of children's breakfast cereals is normally distributed with a mean of 8.4 grams and a standard deviation of 2.1 grams. For a sample of 15 children's breakfast cereals, what is the probability that the sample mean amount of sugar in a serving for the 15 cereals will be at least than 10 grams? Show how you calculated your result here (type in what you typed on your calculator or computer, the function used on the calculator/computer with value input, etc) Calculation: ___________ Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(x¯<10 grams) = ___________arrow_forwardToday, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…arrow_forward
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