Example: Hamburger patties are packed 8 to a box, and each box is supposed to have 1 Kg of meatin it. The weights of the patties vary a little because they are mass produced, and the weight X of asingle patty is actually a random variable with mean μ = 0.128 kg and standard deviation o = 0.005kg. Find the probability a box has at least 1 kg of meat, assuming that the weights of the 8 patties inany given box are independent.

Answered: Image /qna-images/answer/8491ca2f-a446-4a48-aae8-acae7523d346.jpg

Answered: Example: Hamburger patties are packed 8…

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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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150lb and 201lb. The new population of pilots has normally distributed weights with a mean of 157 lb and a standard deviation of 32.5lb. a. If a pilot is randomly selected, find the probability that his weight is between 120lb and 181lb. The probability is approximately (Round to four decimal places as needed.) b. If 31 different pilots are randomly selected, find the probability that their mean weight is between 120lb and 181lb. The probability is approximately (Round to four decimal places as needed.)
The Grand Canyon Skywalk is a viewing platform located 3,000 ft over the river in the base of Canyon. According to Wikipedia, the platform is rated for a maximum of 120 people at one time. Data from a statistics book on the weights of adults is given below. Assume male and female adult weights are normally distributed. Males Females Мean 182.9 lb 165.0 lb Std. Dev. 40.8 lb 45.6 lb Find the probability that 120 randomly selected adult males have a mean weight greater than 200 lbs.
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 138 lb and a standard deviation of 32.5 lb. a. If a pilot is randomly selected, find the probability that his weight is between 130lb and 181lb. The probability is approximately(Round to four decimal places as needed.) b. If 34 different pilots are randomly selected, find the probability that their mean weight is between 130lb and 181lb. The probability is approximately (Round to four decimal places as needed.)
Soledad and Tania are both high school students. The number of texts Soledad sends daily, S, is approximately Normally distributed with a mean of 100 and a standard deviation of 6 texts. The number of texts Tania sends daily, T, is approximately Normally distributed with a mean of 108 and a standard deviation of 8.1 texts. Assume that S and T are independent random variables. Let D = S – T. What is the probability that Soledad sends more texts on a randomly selected day? 0.104 0.214 0.786 0.896
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150 lb and 201 lb. The new population of pilots has normally distributed weights with a mean of 158 lb and a standard deviation of 34.4 lb. a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 201 lb. The probability is approximately (Round to four decimal places as needed.) b. If 32 different pilots are randomly selected, find the probability that their mean weight is between 150 lb and 201 lb. The probability is approximately (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (b) because the seat performance for a sample of pilots is more important. O B. Part (a) because the seat performance for a single pilot is more important. O C. Part (b) because the seat performance for a single pilot is more important. O D. Part (a) because the seat performance…

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