**3.4.1 WP**Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 675 to 700 nm.a. What are the mean and variance of the wavelength distribution for this radiation?b. If the wavelengths are uniformly distributed at integer nanometers from 75 to 100 nanometers, how do the mean and variance of the wavelength distribution compare to the previous part? Explain.

(a) Obtain the mean of the wavelength distribution for this radiation. The mean of the wavelength…

Answered: 3.4.1 WP Assume that the wavelengths of…

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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Question 4 [25 marks]. and the risk of accidents at a junction. Suppose we observe the following frequency distribution of the number of accidents in 150 weeks. Transport engineers are interested to study the pattern Number of Accidents 1 2 3 4 6. 7+ Observed frequency 50 30 24 30 10 1 (a) Find an estimate (to four decimal places) of the average number of accidents in a week. (b) Perform a goodness of fit test at the 5% significance level of the null hypothesis that the observed number of accidents follow a Poisson distribution. Hint: Use the estimate (to four decimal places) you computed in (a) and report the expected frequency and observed value of the statistic to four decimal places. (c) What is the p-value of your test in (b)? Does the p-value indicate that there is evidence against the null hypothesis?
Question 10 A normally distributed sample has a mean = 5. and SD = 3.8, %3D 1. Find z for x = 4.7 2. Find x if z = 3.2
Question 8 The volume of a hand sanitizer filled into a container is contimuous uniformly distributed between 274 and 290 millimeters. What are the mean and variance of the volume of hand sanitizer? 228 and 36.67 None 282 and 36.67 282 and 21.33
6.2-2
Question 4
question 16
Question 2: The number of pieces of mail received daily at the school office is normally distributed with mean = 100.33 pieces per day and standard deviation o = 25.55 pieces per day. Use the 68-95-99.7 Rule to compute the values in Parts (a) and (b). (a) Between what two values do the middle 95% of daily mail delivery amounts fall? (b) Give the value such that only 2.5% of days have more mail delivery than that day's value. Use Table Z to answer the following questions. (c) On what percentage of days do they get less than 65 pieces of mail? (d) On what percentage of days do they get more than 140 pieces of mail? Draw a diagram showing the number of pieces of mail and shade the appropriate area on the diagram.
Suppose the mean value for Rh is 1,106, the mean value for X,R, is 2,200, the standard deviation for Rh is 427.1 and the standard deviation for X,R, is 325.3. What then is the value for the standard deviation of the limit state function V (answer to 1 decimal place)?
question 18
QUESTION 18 Find the z score that corresponds to P90. Show all work and upload it as a photo or pdf. For full marks, include a diagram of the distribution that indicates important points, regions, etc.
Question 7 Use the following information to answer Question 7 and Question 8.The marks of six students in a Mathematics test are represented by the variable x. The following data was produced: n=6, Σx = 279 and Σx2= 13 093.Find the mean and standard deviation of the following data.A. mean =46.5 , standard deviation = 5.82B. mean = 52.5, standard deviation = 4.89C. mean =46.5 , standard deviation = 4.89D. mean =52.5 , standard deviation = 5.82 Question 8 It was later discovered that one of the values was incorrectly recorded as 43. The correct value, in fact, is 34. Find the new values of the mean and standard deviation.A. mean = 45 , standard deviation = 7.07B. mean = 51, standard deviation = 6.84C. mean = 45 , standard deviation = 6.84D. mean = 51 , standard deviation = 7.07
A grouped frequency distribution has been obtained for the number of personnel working in 100 workplaces. Accordingly, the average number of personnel per enterprise is calculated as x̄ = 48.98. So what is the value of ∑ ni?

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