Bliss Biscuit Company manufactures packets of Devine biscuits and has found that theweight of the packets is a continuous random variable which follows a normal distributionwith a mean of 297 grams and standard deviation of 1.8 grams.a) What is the probability that the packets will weigh less than 293 grams?b) What percentage of packets will weigh more than 300 grams?c) What is the probability that the packets will weigh less than 293 grams or more than300 grams?d) 20% of these packets weigh above a particular weight. What is that weight?e) Find the probability that the packets will weigh between 295.5 and 298.5 grams?

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Answered: Bliss Biscuit Company manufactures…

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 3600 lb-25 passengers. So, 25 adult male passengers can have a mean weight of up to 3600/25= 144 pounds. Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 26 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 144 lb. b. Find the probability that a sample of 25 randomly selected adult males has a mean weight greater than 144 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 144 lb is (Round to four decimal places as needed.)
An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4300/28 = 154 pounds. Assume that weights of males are normally distributed with a mean of 177 lb and a standard deviation of 36 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 154 lb. b. Find the ability that a sample of 28 randomly selected adult males has a mean weight greater than 154 lb. Question Viewer c. What about the safety of this elevator? you a. The probability that 1 randomly selected adult male has a weight greater than 154 lb is (Round to four decimal places as needed.)
The actual weight of a bag of flour is modeled as a normal random variable with a mean of 0.25 kilograms (kg) and a standard deviation of 0.02 kg. A sack of flour is considered ready-to-ship if its weight is between 0.24 kg and 0.27 kg. Consider a sample of 50 sacks of flour. Assume that the weights of the individual sacks in the sample are independent. a) What is the expected value of the number of ready-to-ship sacks of flour in the sample? b) What is the probability that at least 20 sacks of flour from the sample weigh less than 0.24 kg?
A factory produces screws, for which the length is normally distributed with the mean of 4mm and standard deviation of 0.3mm. Screws are measured accurately and any which are shorter than 3.6mm or longer than 4.2mm are rejected. a) Calculate the probability of products accepted b) Out of a batch of 1000 screws, how many would be rejected?
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.3 grams with a standard deviation of 0.2 grams. a) What is the probability that a randomly chosen mouse has a mass of less than 20.16 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 20.51 grams? c) What proportion of mice have a mass between 20.14 and 20.39 grams?
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150 lb and 211 lb. The new population of pilots has normally distributed weights with a mean of 157 lb and a standard deviation of 31.8 lb. a) If 40 different pilots are randomly selected, find the probability that their mean weight is between 150 lb and 211 lb.
An elevator has a placard stating that the maximum capacity is 3800 lb—26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 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 146 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. c. What do you conclude about the safety of this elevator?
In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1 gallons. Assume that the per capita consumption of soft drinks in the United States is approximately normally distributed with a mean of 42.1 gallons and a standard deviation of 13 gallons. 1) What is the probability that someone in the United States consumed more than 60 gallons of soft drinks in 2014? 2) What is the probability that someone in the United States consumed between 15 and 30 gallons of soft drinks in 2014? 3) Ninety-five percent of the people in the United States consumed less than how many gallons of soft drinks?
The mass of a species of mouse commonly found in houses is normally distributed with a mean of 19.6 grams with a standard deviation of 0.14 grams. a) What is the probability that a randomly chosen mouse has a mass of less than 19.52 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 19.66 grams? c) What proportion of mice have a mass between 19.53 and 19.67 grams?
Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. However, 36 random cans of coke were selected and found to have a mean of 12.19 oz. Find the probability that a single can of Coke has at least 12.19 oz.
Interpupillary distance (IPD) is the distance between the centers of the pupils of a person's left and right eyes. In adult males, IPD is approximately Normally distributed with a mean of 62.5 mm and a standard deviation of 6mm. Suppose you randomly select 5 adult males. What is the probability that their mean IPD is greater than 60mm? 1) 0.8243 2) 0.4995 3) 0.6615 4) 0.1757 5) 0.3885
The monthly salaries of employees working in a company have a standard normal distribution with an average of 1700t and a standard deviation of 500t. Accordingly, what is the probability that a randomly selected person's monthly salary will be LESS THAN 2000%? 28 - O A) 0,2257 O B) 0,7257 O C) 0,3264 O D) 0,9106 O E) 0,6736

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