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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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 between -1.21°C and 0.044°C.
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 1.426°C.
Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the employees. From past experience, she has found that the reviews take her approximately 4 hours each to do with a population standard deviation of 1.1 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 10 reviews. Assume that the 10 reviews represent a random set of reviews. (a) What is the mean, standard deviation, and sample size? Mean = Number Standard Deviation = Number Sample Size = Number (b) Complete the distributions. Round all decimals to four decimal places. X~ Click for List ( Number Number X - ( Number ) Click for List Number
Assume females have pulse rates that are normally distributed with a mean of 72 beats per minute and a standard deviation of 12.5 beats per minute. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76
The number of cracks that need repair in a section of interstate highway follows a Poisson distribution with a mean of two cracks per mile. Determine the probability mass function f(x) of the number of cracks (X) in 5 miles of highway. Find the probability that there are at least five cracks in 5 miles of highway that require repair. Calculate the mean and variance of X.
The lifetime of a particular component is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. Find the probability that a randomly drawn component will last between 1000 and 1150 hours.
Assume that females have pulse rates that are normally distributed with a mean of u=74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. if 4 adult females are randomly, find the probability that they have pulse rates with a mean between 67 beats per minute and 81 beats per minute.
The number of traffic accidents on a section of the M4 freeway during peak flow periods follows a Poisson distribution with a mean of 2 accidents per hour.i. If X is the random variable representing the number of accidents in 1 hour of a peak flow period then state the possible values of X.ii. Determine the probability of 3 or less accidents on this section of the M4 in a randomly selected hour during a peak flow period.iii. Let Y be the variable representing the number of accidents across a 3-hour peak flow period. State the type of distribution Y has and it’s parameter/s. Use these to determine the probability of 5 accidents during a 3-hour peak flow period.
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score between −1.59 and 1.59.
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 less than -2.506°C.
A company sells sunscreen in 300 milliliter (ml) tubes. In fact, the amount of lotion in a tube varies according to a normal distribution with mean μ=297 ml and standard deviation σ=4 ml. Suppose a store which sells this sunscreen advertises a sale for 4 tubes for the price of 3. Consider the average amount of lotion from a SRS of 4 tubes of sunscreen and find the probability that the average amount of sunscreen from 4 tubes will be less than 292 ml.
Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per minute and a standard deviation of σ=12.5 beats per minute If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 76 beats per minute.

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