The problem involves determining probabilities related to the weights of ice cream cartons, which are normally distributed with a mean weight of 9 ounces and a standard deviation of 0.7 ounces. (a) We need to calculate the probability that a randomly selected carton has a weight greater than 9.21 ounces.(b) We are given a random sample of 25 cartons, and the task is to find the probability that their mean weight is greater than 9.21 ounces.For both parts (a) and (b), the probability should be rounded to four decimal places as needed, and space is provided to fill in these probabilities.

given data,normal distribution ,μ=9σ=0.7we have to find out the probabilities for the given data.

Answered: he weights of ice cream cartons are…

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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Please help for b)c)d)
35) The mean score of a college entrance test is 500, the standard deviation is 75. The score normally distributed. What percent of the students scored below 320? A) 50.82% B) 34.13% C) 7.86% D) 0.82%
11
Given that we have a normal distribution with mean 73 and standard deviation of 13 for an English class's performance. What is the probability of getting a score of 86 or better? A) 0.1587 B) 0.8413 C) 0.3413 D) 0.0013
A coating that weighs at least 3.00 mg is needed to impart adequate shelf life to a pharmaceutical tablet. A random sampling of 250 tablets revealed that 14 failed to meet this requirement.a) Use this information to estimate the relative standard deviation for the measurement.b) What is the 95% confidence interval for the number of unsatisfactory tablets.c) Assuming that the fraction of rejects remains unchanged, how many tablets should be taken to ensure a relative standard deviation of 5% in the measurement?
Combined city and highway gas mileage is approximately normally distributed with mean 23.0 mpg and standard deviation 4.9 mpg. A) Assume twenty 2016 model year vehicles are randomly selected. Describe the distribution of the variable x̄. i. Shape (Justify how you know your answer) ii. Mean iii. Standard deviation, rounded to three decimal places. B) Find the probability that the mean gas mileage of a sample of twenty 2016 model year vehicles is less than 24 mpg.
Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6. a) b) c)
An airliner carries 400 passengers and has doors with a height of 75 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). COO a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is 4 (Round to four decimal places as needed.)
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?
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
An airliner carries 300 passengers and has doors with a height of 78 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is 0.9993. (Round to four decimal places as needed.) b. If half of the 300 passengers are men, find the probability that the mean height of the 150 men is less than 78 in. The probability is (Round to four decimal places as needed.)
1) The diameter of a steel rod has a normal distribution with a mean of 3.41cm and a standard deviation of 0.02. Determine the probability that the diameter is a) more than 3.42 cm. b) less than 3.46 cm. c) between 3.35 cm and 3.46 cm

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