
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:Given that x is a normally distributed variable with mean equal to 40 and standard deviation equal to 5
determine:
a. P( x< 45)
Ans.
b. P( 35 <x< 47)
Ans.
C. P( x > 50)
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- 1. The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. Find the probability that an instrument produced by this machine will last a. less than 7 months. b. between 7 and 12 months. For No. 1, draw a normal curve with the area corresponding to the probability shaded.arrow_forwardThe length of eels (in cm) in a river may be assumed to be normally distributed with a mean of µ = 42 and a standard deviation of o = 6. An angler catches an eel from a river. Let: X = the length (in cm) of an eel a) If the normal length of eels is between 30 cm and 45 cm, what percentage of eels fall within this normal range? Round your answer to 2 decimal places. b) What is the probability that an eel is at least 51 cmin length? Round your answer to 4 decimal places. c) The middle 50% of the lengths (in cm) of the eels are between and Round your answers to 2 decimal places d) Due to the symmetry of the normal distribution we know that DIV 20 - DIV -arrow_forwardAssume 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)arrow_forward
- 6. A distribution with a µ = 55 and o = 6 is standardized so that the new mean and standard deviation will be u = 50 and o = 10. When the new distribution is standardized, what value will be obtained for a score of x = 52 from the original distribution? a. X= 45 b. X = 47 C. X= 52 d. X = 53arrow_forwardA distribution of values is normal with a mean of 220 and a standard deviation of 8.Find the interval containing the middle-most 40% of scores: Incorrect Enter your answer using interval notation. Example: [2.1,5.6) Your numbers should be accurate to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.arrow_forward
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