Question 7Formulas: mp;√np(1 - p);Here is the quick link to the scientific calculator, and from there, you may navigate to any online statisticscalculators using the "Content" tab on the upper-left-hand side.2NextThe mean daily production of a herd of cows is assumed to be normally distributed with a mean of 35 liters,and standard deviation of 5.9 liters. Let X be the production of a randomly selected cow in liters.Check Answeresc.p(1-p)na. What is the distribution of X? X- ? €Please show the following answers to 4 decimal places.b. If a cow is randomly chosen, find the probability that its production is at least 20.2 liters.c. If a cow is randomly chosen, find the probability that its production is between 32 and 40.9 liters.F1Please show the following answer to 1 decimal place.d. The 89th percentile of the milk production is how many liters?2;F2σ√n#380F3$4aF4%50F5MacBook Air>6F68 Question 8Formulas: np;np(1 - p);Here is the quick link to the scientific calculator , and from there, you may navigate to any online statisticscalculators using the "Content" tab on the upper-left-hand side.The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and astandard deviation of 12 days. Let X be the length of a randomly recorded pregnancy in the village.a. What is the distribution of X? X-? (Please show the following answers to 4 decimal places.b. If a pregnancy randomly chosen in the village, find the probability that it lasted below 283 days.Check Answeresc,c. If a pregnancy randomly chosen in the village, find the probability that it lasted between 247 and 253days.p(1-p)n1Please show the following answer to the nearest day in the whole number.d. The 68th percentile pregnancy length in this village isdays.F1@;2σF2#380F3$4aF4лоо%5KOF5MacBook Air6F6

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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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The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 399. Assume this mileage follows the normal distribution with a standard deviation of What is the probability that, before the low-fuel light comes on, the car will travel between 328 and 348 miles on the next tank of gas? 36 miles. Complete parts a through d below. (Round to four decimal places as needed.
The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 80 inches,, and a standard deviation of 10 inches. What is the probability that the men annual snowfall during 25 randomly picked years will exceed 82.8 inches? Draw a picture. Show z calculation. Use Table A-2.
Assume the birth weights at a local hospital have a normal distribution with a mean of 110 oz and a standard deviation of 15 oz. Draw a normal curve and label the mean and each value which is one, two, or three standard deviations above the mean. Then label each value which is one, two, or three standard deviations below the mean.
For the population of one town, the number of siblings, x, is a random variable whose relative frequency histogram has a reverse J-shape. The mean number of siblings is 1.3 and the standard deviation is 1.5. Let x denote the mean number of siblings for a random sample of size 32. Determine whether the distribution of x is normal or approximately normal and find its mean and standard deviation.
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 P42, the 42-percentile. This is the temperature reading separating the bottom 42% from the top 58%. P42 = °C
On average, indoor cats live to 14 years old with a standard deviation of 2.7 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.A. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years High: years
A population has a mean μ = 70 and a standard deviation o=36. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 81. H=(Simplify your answer.) = (Simplify your answer.)
Chebyshev's Theorem states that for any distribution of numerical data, at least 1-1/k? of the numbers lie within The percent of numbers between 88 and 112 is at least %. k standard deviations of the mean. (Round to the nearest hundredth as needed.) In a certain distribution of numbers, the mean is 100, with a standard deviation of 6. Use Chebyshev's Theorem to tell what percent of the numbers are between 88 and 112.
Assume that adults have IQ scores that are normally distributed with a mean of 104.7 and a standard deviation of 24.1. Find the probability that a randomly selected adult has an IQ greater than 137.1. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 137.1 is (Round to four decimal places as needed.)
Assume that adults have IQ scores that are normally distributed with a mean of u =100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ less than 115. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 115 is (Type an integer or decimal rounded to four decimal places as needed.)
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 P50, the 50-percentile. This is the temperature reading separating the bottom 50% from the top 50%. Round to 3 decimal places.

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