A soda company has a machine that is set to fill each can with 12 ounces of soda. Itactually fills each can with between 11.5 and 12.5 ounces. Let X denote the amountof soda put in a randomly selected can. The amount put in each can is uniformlydistributed. What is the probability that the put in a randomly selected can lessthan 11.8 ounces? Find P(X<11.8)A) 0.30B) 1.23OC) 0.58OD) 0.79

It is given that X follows Uniform(a = 11.5, b = 12.5), then the cumulative distribution of X is…

Answered: A soda company has a machine that is…

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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Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with a mean of 97.9 ft and a standard deviation of 5.4 ft.A tree of this type grows in my backyard, and it stands 86 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.P(X<86)P(X<86) = My neighbor also has a tree of this type growing in her backyard, but hers stands 112.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.P(X>112.5)P(X>112.5) = Enter your answers as decimals accurate to 4 decimal places.
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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 52.0 minutes. Find the probability that a given class period runs between 50.75 and 51.5 minutes. Find the probability of selecting a class that runs between 50.75 and 51.5minutes.
Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with a mean of 58.2 ft and a standard deviation of 4.8 ft. A tree of this type grows in my backyard, and it stands 56.8 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. P(X<56.8)= My neighbor also has a tree of this type growing in her backyard, but hers stands 61.1 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers. P(X>61.1)= Enter your answers as decimals accurate to 4 decimal places.
Please answer the question in the photo! thanks!
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.2 and 51.4 min.P(51.2 < X < 51.4) =
The probability that someone passes the road test to get a driver's license is 0.55. Let N represent the number of road tests a person must take to get his/her driver's license. Find P(N < 6). (Round your answer to 3 decimal places).
The weights of new born black bear cubs are uniformly distributed with minimum of 245 and maximum of 295 grams. Suppose that a random new born cub is selected. f. Find the probability that the cub weighs between 258.5 and 270.3 grams.
A basketball player makes 70% of her free throws. When fouled, she gets to take two free throws. Let X represent the number of free throws made in two tries. The probability distribution for the number of free throws she makes in two attempts is summarized in the following table: Number of free throws made Probability P(X 1) P(X ≤1) 0 O P(X ≥ 1) 0.09 1 The probability statement representing that she makes at least one free throw is expressed as 0.42 2 0.49

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