The mean incubation time for a type of fertilized egg kept at 100.6°F is 21 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days.a) What is the probability that a randomly selected fertilized egg hatches in less than 17 days?b) What is the probability that a randomly selected fertilized egg hatches between 19 and 21 days?c) What is the probability that a randomly selected fertilized egg takes over 25 days to hatch?Click to view page 1 of the standard normal table.Click to view page 2 of the standard normal table.

It is given that Mean, μ = 21 Standard deviation, σ = 2 Z-Score, Z = ( X - μ )/σ

Answered: The mean incubation time for a type of…

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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Assume that heights of U.S. men between 45 and 50 years of age are normally distributed with mean 70 inches and a standard deviation of 0.75 inches. Suppose a random sample of 49 men is selected. Find the probability that the average height of these 49 men is less than 69.8 inches.
Assume that the arrival rate of students entering a particular class late is 3 students. If I assume a normal distribution for this arrival rate, how big is my absolute error for the probability of 5 or fewer students arriving late?
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.)
c. Vehicle speeds at a highway location have a normal distribution with mean u = 65 mph and standard deviation o = 5 mph. Find the probability that a randomly selected vehicle speed is greater than 73 mph.
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.
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.
Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum cholesterol level is 183 mg/dl and the standard deviation is 37. Find the probability that a sample of size 60 from this population will yield a mean cholesterol level. Greater than 190
Assume that the readings at freezing on a bundle 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 -1.935°C.
The ages of workers in the Illuminex plant are approximately normally distributed, with a mean of 45 years and a standard deviation of 12 years. A worker is stopped at random and asked to fill out a questionnaire. What is the probability that this worker is a) less than 30 years old?b) between 35 and 55 years old?c) more than 60 years old?
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 60 with a standard deviation of 9 . Assume that the distribution is approximately normal. What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? What is the probability that an elite athlete has a maximum oxygen uptake of 70 ml/kg or lower?
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 amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 24minutes and a standard deviation of 5 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 20 minutes, (b) between 24 and 33 minutes, and (c) more than 40 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 20minutes is. (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between 24 and 33 minutes is. (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 40 minutes is . (Round to four decimal places as needed.)

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