Problem 4.The amount of sugar contained in 1-kg packets is actually normally distributed with a mean of μ = 1.03 kg and astandard deviation of o = 0.014 kg.a) What proportion of sugar packets are underweight?b) If an alternative package-filling machine is used for which the weights of the packets are normallydistributed with a mean of u = 1.05 kg and a standard deviation of o= 0.016 kg, does this result in anincrease or a decrease in the proportion of underweight packets?

Given thatthe amount of sugar contained in 1-kg packets is normally distributed with mean of 1.03…

Answered: The amount of sugar contained in 1-kg…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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8. 140 migrating pigeons were caught by a biologist for data collection. The mass of these pigeons is normally distributed with mean 0.9 kg and standard deviation of deviation 0.15 kg. a) Determine the percentile rank of a pigeon weighing 1kg. b) What proportions of pigeons have weight greater than 1.1 kg or less than 0.7 Kg 31
Total cholesterol in children aged 10 to 15 is assumed to follow a normal distribution with a mean of 191 and a standard deviation of 22.4 A) what proportion of children 10-15 of age have total cholesterol between 180 and 190? B)what proportion of children 10-15 years of age would be classified as hyperlipidia (assume that hyperlipidic is defined as a total cholesterol level over 200)? c) what is the 90th percentile of cholesterol levels?
Suppose the total weight of passengers on a particular flight has a mean of 1499 with standard deviation 128 what is the score of a flight with a total weight of 1639.8
Suppose that the volume of sound generated by heavy machinery in a factory is normally distributed, with a mean of 50 dB and a standard deviation of 10 dB. If measurements are taken twice an hour during an eight hour period, 20% of the sample average sound volumes will be above what value?"
Attenuation is the reduction of the amplitude of a signal, electric current, or other oscillation. With maximum attenuation, a scanner will not be able to read a bar code at a fixed distance. After substantial amount of data collection, a group of instrumentation engineers decided to model a variation of maximum attenuation of scanners as a normal distribution with a mean of 10.1 decibels and standard deviation of 2.7, same unit. What proportion of the products have maximum attenuation greater than 15.1 dB? 0.0718 none of these 0.0322 0.0214
The duration of flights between two locations is normally distributed with a mean of 6 hours and a standard deviation of 45 minutes. Approximately what percentage of these flights can be expected to take between 7 and 8 hours?
The population mean of a company's racing bicycles is 9.07 kg (20.0 1b) with a population standard deviation of 0.40 kg. If the distribution is approximately normal, determine (a) the percentage of bicycles less than 8.30 kg, (b) the percentage of bicycles greater than 10.00 kg, and (c) the percentage of bicycles between 8.00 and 10.10 kg.
Total fat content (including saturated fat and trans fats) is a key characteristic of cheese. Assume that for a given type of cheese, total fat content (10-1 g/g of cheese) follows a normal distribution with a population mean of 2.85 (unit) and a population variance of 0.01 (unit2). Such an assumption is reasonable because fat content varies inside cheese and the “errors” around the mean total fat content (i.e. the value appearing on the etiquette) are distributed like a bell shape. a) What is the probability that the total fat content of this cheese exceeds 3 (unit)? b) What is the probability that the total fat content varies from 2.8 to 3 (unit)?
For all parts of this problem, assume that the weights of tomatoes are normally distributed with a mean of 1.8 lbs and a standard deviation of 0.47 lbs.
The weights of tablets are normally distributed with mean 254 mg and standard deviation 4 mg. (a) What proportion of tablets weighs less than 248 mg?
Suppose the police have set up automatic speed surveillance on a street in an area. During one week they get 987 measurements. The average in the data set is 50,7 kh/h, with a standard deviation of 3,2 km/h. Calculate the z-value for an observation with the value 53,8 km/h.

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