A scout on a camping trip is requested to find some dry sticks of lengthat most one metre to use as firewood. A model for the distribution ofthe lengths, X, in metres, of sticks that she brings back to theprobability density functioncamphasf (x) =V, 0 < x < 1.%3DAccording to the model, what is the standard deviation of thelengths of the sticks that the scout brings back?

Answered: Image /qna-images/answer/f82ae34c-57db-47e8-a332-91e3fea76588.jpg

Answered: A scout on a camping trip is requested…

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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A spinner contains the values 0 up to, but not including, 1. The outcomes of the spinner are equally likely, so the density curve is described by a uniform distribution as shown. Let X = the random number spun on the spinner. Height = 1 0 Random number What is the mean of X and the median of X? Mean = 0.25 Median = 0.5 Mean = 0.5 Median = : 0.5 Mean 0.75 Median 0.5 Mean = 0.5 Median = 0.25 Mean = 0.5 Median = 0.75 = -
A manufacturing company is producing wire whose diameter follows a normal distribution with μ = 45μ m and σ = 10. What is the probability that any individual wire has a diameter: less than 30μ m between 50μ m and 65μ m
The length of adult King Cobra snakes is normally distributed with µ = 22 feet and σ = 2.5 feet. What is the probability that a randomly selected adult King Cobra snake be over 17 feet long?
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.1 kg and a standard deviation of σ = 4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2658. (Round to four decimal places as needed.) b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.)
In a family with 10 children the p probability of a boy =0.5. Find the exact probability of less than 2 boys. And find the normal approximate probability of less than 2 boys. O A. Exact = 0.550, Approx = 0.570 %3D B. Exact = 0.005, Approx = 0.007 OC. Exact = 0.055, Approx = 0.057 %3D OD. Exact = 0.055, Approx = 1.0 %3D
The random variable X is described by using the gamma distribution with α = 5 and λ = 1. Find the standard deviation of X.
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.1 kg and a standard deviation of o=4.9 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.) -C
Suppose the probability density function for a uniform distribution ranging from 0 to 1. The mean of the random variable X for this distribution is O a. 0.50 O b. 0.75 Ос. 0.25 d. 1.00
2. Consider a gas station's daily sales. Let Y be the volume of gas sold per day in 1000s of gallons. Assume the distribution of Y follows this pdf: 1sxs 2 S (v) . else What value of k is required for the above function to be a valid pdf? b. Verify that the function given is a valid probability density а. function c. Determine the cumulative distribution function (cdf) of the random variable d. Compute the probability that there is exactly 1500 gallons of sales on a given day (Hint: Find?(r - 1.5)) = 1 CO0
A density curve consists of the line segment connecting the points (0,1) and (0.5,1) and the segment connecting(0.5, 1) to the x-axis.a. Determine the coordinate point where the second segment crosses the x-axis.b. Determine the slope of that segmentc. Determine the equation of the line containing this segment (y = mx + b)d. Calculate the probability P(X > 1)

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