Question 4wwBased on a study, the volume of a randomly selected large soda serving has an unknown distribution with amean of 29.7 oz and a standard deviation of 0.5 oz. Let X be the volume of a randomly selected large sodaserving and let S be the total volume of a random sample of size 51.1. Describe the probability distribution of X and state its parametersand o:X~ Select an answer (Select an answerNFBunknownand find the probability that the volume of a randomly selected large soda serving is between 30 and 30 oz.(Round the answer to 4 decimal places)O2. Use the Central Limit TheoremSelect an answerSelect an answerthe sample size is large (n>30) although the distribution of the original population is unknownthe original population is normally distributedthe sample size is small (n<30) and the distribution of the original population is unknownthe distribution of the original population is unknownto describe the probability distribution of S and state its parameters us and og: (Round the answers to 1decimal place)S~ Select an answer (μs=Select an answerFBunknownog =and find the probability that the total volume of a sample of 51 randomly selected large soda servings isbetween 1513 and 1523 oz.(Round the answer to 4 decimal places)

Given is the volume of a randomly selected large soda serving. The mean and standard deviation are:…

Answered: Based on a study, the volume of a…

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 elevator has a placard stating that the maximum capacity is 1860 lb—12 passengers. So, 12 adult male passengers can have a mean weight of up to 1860/12=155 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 155 lb. (Assume that weights of males are normally distributed with a mean of 162 lb and a standard deviation of 31 lb.) The probability the elevator is overloaded is
An elevator has a placard stating that the maximum capacity is 3900 lb-26 passengers. So, 26 adult male com passengers can have a mean weight of up to 3900/26= 150 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 150 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 150 lb. c. What do you conclude about the safety of this elevator? *** a. The probability that 1 randomly selected adult male has a weight greater than 150 lb is 0.5319 (Round to four decimal places as needed.)
The sticker on Nestle's crunch bar reads 25 grams. Suppose that the probability distribution of the weight of a crunch bar is known to follow a normal distribution with variance of 2.5 and mean 26 grams. Assume that the weight of one crunch bar that is randomly chosen from Boxer shop is given by Y. a) Calculate the probability that the weight of a crunch bar selected from the shelf at Boxer will exceed 30 grams. b) Calculate the proportion of crunch bars on the shelf whose weight will either exceed 40 grams or will not exceed 26 grams. c) If 12 crunch bars are randomly selected from the shelf at Boxer, calculate the probability that the total weight of the selected crunch bars will not exceed 336 grams. d) If 5 crunch bars are randomly selected independently from the shelf at Boxer. Suppose the number of crunch bars with a weight not exceeding 24 grams is given by X. Calculate P(X < 3).
The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a standarddeviation of 7.9 lb a. If I randomly select a barrel, what is the probability that it will be heavier than 50 lb, (and I’ll havetrouble lifting it)? Use formula/chart.
Two devices are used to measure the length of beam. If the true length of the beam is L, the measurement error made by one device, E, , is normally distributed with mean 0 and standard deviation 0.006L, and the measurement error made by the other device, E, , is normally distributed with mean 0 and standard deviation 0.004L. The two measurement errors are independent of each other. What is the probability that the average value of the two measurements, (E, + E,)/2, is within 0.5% of L? Note that this problem can be done using the attached table of the cdf of the standard normal random variable.
An elevator has a placard stating that the maximum capacity is 4400 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4400/29 = 152 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 152 lb is ☐ (Round to four decimal places as needed.)
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -1.935°C.
An elevator has a placard stating that the maximum capacity is 4100 lb-27 passengers. So, 27 adult male passengers can have a mean weight of up to 4100/27= 152 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? Round to four decimal places as needed
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 60 with a standard deviation of 9 . Assume that the distribution is approximately normal. What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? What is the probability that an elite athlete has a maximum oxygen uptake of 70 ml/kg or lower?
Suppose that among salmon fish that are longer than 80cm, their weights have a mean of 6.4kg and a standard deviation of 0.5kg. The wholesale price per kg for these salmon fish is $9.46. The fishing company supplies freshly caught salmon to a local restaurant. The restaurant just placed an order for 120 salmon fish. If the fishing company randomly selects 120 salmon that are longer than 80cm for the restaurant, find the probability that the total wholesale price of the 120 salmon exceeds $7,350.

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