MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- -5. The weight of a certains species of fish is normally distributed with mean of 4.25 Kg and standard deviation of 1.2 a) What proportion of fish are between 3.5 kg and 4 kg b) What is the probability that a fish caught will have a weight of at least 5kg? 31arrow_forward3.- It has been found that the waiting time to obtain a table in a cafe during rush hour has a normal distribution with a mean of 130.7 min. and a standard deviation of 12.5 min. How long do people have to wait to be given a table with the following probability?a) P (X ≥ Xo) = 0.83.b) P (X ≥ Xo) = 0.12c) P (X ≤ Xo) = 0.92d) P (X ≤ Xo) = 0.07arrow_forwardwhat is the probability that the average length of hands is less than 187 for a group of 18 men. The mean is 188 and the standard deviation is 7.1 using the central limit theoremarrow_forward
- The number of ants per acre in the forest is normally distributed with mean 45,000 and standard deviation 12,449. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected acre in the forest has fewer than 52,504 ants. c. Find the probability that a randomly selected acre has between 35,343 and 46,417 ants. d. Find the first quartile. ants (round your answer to a whole number)arrow_forwardThe number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,112. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected acre in the forest has fewer than 36,786 ants. c. Find the probability that a randomly selected acre has between 31,002 and 37,024 ants. d. Find the first quartile. ants (round your answer to a whole number)arrow_forwardThe number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,269. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected acre in the forest has fewer than 32,912 ants. c. Find the probability that a randomly selected acre has between 37,038 and 47,452 ants. d. Find the first quartile. ants (round your answer to a whole number)arrow_forward
- 2A. X is normally distributed with a mean of 8 and standard devaition is of 0.5. Determine P(8.44(less than or equal to)X)arrow_forwardThe patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.7 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N( , )b. What is the median recovery time? daysc. What is the Z-score for a patient that took 5.2 days to recover?arrow_forward1.Which of the following statements about a standard normal variable is true? a) It has a standard deviation of zero b) The total area under the standard normal curve is sometimes approximately equal to one c) It has a mean of zero and standard deviation of one d) Most of the time, the area under the half of the standard normal curve is approximately equal to one-half 2. Which of the following does not apply to the normal distribution? a) The normal curve is unimodal (that is, it has one mode) b) The total area under the curve is equal to one c) The normal curve is symmetric about its standard deviation d) The mean and the median are equalarrow_forward
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