The mass of flour in bags produced by a particular supplier is normallydistributed with a mean of 504 g and a standard deviation of 6.5 g.(c)i)Find the proportion of bags with a mass of flour less than 500g.Find the iprobability that the mass of flour in a randomly selected bag isbetween 498 g and 502 g.ii)Any bag containing less than 500 g of flour is said to be underweight, If the actual value of mean is to be set accurately by thesupplier, find the value it must be set at, such that the supplier'smean setting produces only 1% of bags being under weight.Assume that the standard deviation remains unchanged.ii)

Given Information: Mean μ=504 Standard deviation σ=6.5 (i) To find the proportion of bags with a…

The mass of flour in bags produced by a particular supplier is normally distributed with a mean of 504 g and a standard deviation of 6.5 g. i) Find the proportion of bags with a mass of flour less than 500g. ii) Find the probability that the mass of flour in a randomly selected bag is between 498 g and 502 g. Any bag containing less than 500 g of flour is said to be under weight, If the actual value of mean is to be set accurately by the supplier, find the value it must be set at, such that the supplier's mean setting produces only 1% of bags being under weight. Assume that the standard deviation remains unchanged. ii)

The mass of flour in bags produced by a particular supplier is normally distributed with a mean of 504 g and a standard deviation of 6.5 g. i) Find the proportion of bags with a mass of flour less than 500g. ii) Find the probability that the mass of flour in a randomly selected bag is between 498 g and 502 g. Any bag containing less than 500 g of flour is said to be under weight, If the actual value of mean is to be set accurately by the supplier, find the value it must be set at, such that the supplier's mean setting produces only 1% of bags being under weight. Assume that the standard deviation remains unchanged. ii)

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...

See similar textbooks

Similar questions

The weight of students studying at a national university follows a normal distribution with a mean of 1.62 and a standard deviation of 0.24. How large a sample is needed if we wish to be 99% confident that our estimate of u is off by less than 0.03? О 145 425 O 213 О 510
The mean systolic blood pressure in a certain population of men between the ages of 20 and 24 is known to be 120 mm Hg, with a standard deviation of 20 mm Hg.d) what proportion of readings fall between 100- and 140-mm Hg? e) what proportion of readings are less than 60mm Hg or greater than 180mm Hg?
7) At one college, GPA's have a distribution that is unimodal and symmetric with a mean of 2.6 and a standard deviation of 0.5. What is the range of GPA's from one standard deviation below the mean to one standard deviation above the mean? A) 2.6 to 3.1 B) 2.1 to 3.1 C) 0.5 to 3.1 D) 2.1 to 2.6
In a factory production the products' weights follow a normal distribution with mean 4.00 kg and standard deviation 0.06 kg. Suppose a product is chosen at random, find the probability that the product's weight is between 3.88 kg and 4.18 kg?
Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. What proportion of people has diastolic blood pressures less than 80? A)0.661 B)0.338 C)0.50 D)0.75
The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 36.5 cm and the standard deviation is 5.2 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) ▼ 200 35 | 55 25 30 40 45 50 ( cm) Submit Continue |Privacy Center © 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use DIl S0 FB F7 esc F3
The distribution of weights for 12-month-old baby boys in the US is approximately normal with mean u = 22.5 pounds and standard deviation o = 2.2 pounds. a) If a 12-month-old boy weighs 20.3 pounds, approximately what weight percentile is he in? b) If a 12-month-old boy is in the 84th percentile in weight, estimate his weight. c) Estimate the weight of a 12-month-old boy who is in the 25th percentile by weight. d) Estimate the weight of a 12-month-old boy who is in the 75th percentile by weight.
Given the following table summarizing the responses of 270 people to the question ‘which evening news program do you watch most often’: If one of these individuals is selected at random, what is the probability that the person watches: - a station other than CBS, given that they are a woman -NBC or CBS, given that the individual is a man