An article in the Annals of Botany investigated whether the stem diameters of the dicot sunflower would change dependingon whether the plant was left to sway freely in the wind or was artificially supported. Suppose that the unsupported stemdiameters at the base of a particular species of sunflower plant have a normal distribution with an average diameter of35 millimeters (mm) and a standard deviation of 3 mm.n USE SALT(a) What is the probability that a sunflower plant will have a basal diameter of more than 38 mm? (Round your answer tofour decimal places.)(b) If two sunflower plants are randomly selected, what is the probability that both plants will have a basal diameter ofmore than 38 mm? (Round your answer to four decimal places.)(c) Within what limits (in mm) would you expect the basal diameters to lie, with probability 0.95? (Round your answersto two decimal places.)lower limitmmupper limitmm(d) What diameter (in mm) represents the 60th percentile of the distribution of diameters? (Round your answer to twodecimal places.)mm

We have given that Mean μ = 35 Standard deviation σ = 3 Z-score, z = (x – μ) / σ Note: According to…

Answered: An article in the Annals of Botany…

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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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 136 lb and a standard deviation of 34.9 lb a. If a pilot is randomly selected find the probability that his weight is between 130 lb and 191 lb.
The weights of Australian Cattle Dogs are normally distributed with a mean of 25 kg and a standard deviation of 4 kg. What is the probability (%) that a randomly selected dog weighs between 23 kg and 32 kg?
3. The braking distance for a Krazy-Car traveling at 50 mph is normally distributed with a mean of 50 ft. and a standard deviation of 5 ft. Answer the following without using a calculator or a table. • What is the likelihood a Krazy-Car will take more than 65 ft. to stop? • What is the probability a Krazy-Car will stop between 45 ft. and 55 ft.? • What percent of the time will a Krazy-Car traveling at 50 mph stop between 35 and 55 ft.? • What is the probability a Krazy-Car will require less than 50 ft. or more than 60 ft. to stop?
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
According to one study, the amount of time a customer spends shopping in a grocery store is normally distributed with a mean of 45 minutes and a standard deviation of 12 minutes. Choose one: The amount of time a customer spends shopping is a discrete random variable. The amount of time a customer spends shopping is a continuous random variable.
c. Vehicle speeds at a highway location have a normal distribution with mean u = 65 mph and standard deviation o = 5 mph. Find the probability that a randomly selected vehicle speed is greater than 73 mph.
At a tennis tournament a statistician keeps track of every serve. The statistician finds that the mean serve speed of a particular player was 110 miles per hour (mph) and the standard deviation of the serve speeds was 5 mph. Assume that the distribution of the serve speeds was bell shaped. Using the Empirical Rule, find the following. a) percent of serves expected to be above 120mph. b) proportion of serves expected to be between 105mph and 125mph. c) proportion of serves expected to be below 105mph. d) percent of serves expected to be within 3 standard deviations of the mean.
The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5 inches and a standard deviation of 0.5 inches. A random sample of 50 ping-pong balls is selected. What is the probability that the sample mean will be between 2.4 and 2.6 inches?
The photoresist thickness of wafers in semiconductor manufacturing has a mean of 10.6 micrometers and a standard deviation of 1.3 micrometers. An engineer takes a sample of 50 wafers once a week and calculates the mean thickness of these wafers. If the mean of this sample is either less than 10.41 micrometers or greater than 10.79 micrometers, the engineer will conclude that the machine needs an adjustment. The probability that, based on a sample of 50 wafers, the engineer will conclude that the machine needs an adjustment is: O 0.6970 O 0.1091 O 0.3030 O 0.2522 O 0.1506
A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5 centimeteres. Question: If one part is randomy selected, find the probability that the part is less than 19.3 centimeters.
I. NORMAL PROBABILITY DISTRIBUTION Cars are passing through a checkpoint. Assume the speeds are normally distributed such that the mean (u) = 61 mph and the standard deviation (sigma) = 4 mph. а. b. Calculate the probability (area under the curve) that the next car to pass will be travelling more than 58 mph.

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