**Question 16**The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 39 liters and a standard deviation of 12.4 liters.**A) What is the probability that daily production is less than 61.6 liters?**_Answer:_ ____ (Round your answer to 4 decimal places.)**B) What is the probability that daily production is more than 75.7 liters?**_Answer:_ ____ (Round your answer to 4 decimal places.)

GivenMean(μ)=39standard deviation(σ)=12.4

Answered: The mean daily production of a herd of…

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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Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.39. There is 46 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.12. There is 35 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?
Assume that adults have IQ scores that are normally distributed with a mean of µ = 100 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 80 and 120.
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 69 with a standard deviation of 7.5. Assume that the distribution is approximately normal.Find the probability that an elite athlete has a maximum oxygen uptake of at least 88.5 ml/kg. Find the probability that an elite athlete has a maximum oxygen uptake of at most 48.75 ml/kg. Find the probability that an elite athlete has a maximum oxygen uptake of 48.75 ml/kg.
The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. Find the probability that an instrument produced by this machine will last a.) less than 8 months b.) between 8 and 12 months.
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
Malaysian families recorded an average of 17.2 kg of glass garbage each year with the standard deviation of the distribution is 2.5 kg. Using a central limit theorem, compute a probability that the mean of a sample of 55 families will be between 17 kg and 18 kg.
The life of a component is normally distributed with mean 800 days and standard deviation 100 days. What is the probability of the component still working after 1000 days?
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.71°C.

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