A weather forecaster predicts that the May rainfall in a local area will be between 1 and 7 inches but has no idea where within theinterval the amount will be. Let x be the amount of May rainfall in the local area, and assume that x is uniformly distributed over theinterval 1 to 7 inches.(a) Calculate the expected May rainfall. (Round your answer to 1 decimal place.)UxXinches(b) What is the probability that the observed May rainfall will fall within two standard deviations of the mean? Within one standarddeviation of the mean? (Round all intermediate and final answers to 4 decimal places.)Probability of May rainfall will fall within two SDProbability of May rainfall will fall within one SD

Given data A weather forecaster predicts that the may rainfall in a local area will be between 1 and…

Answered: A weather forecaster predicts that the…

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 mean daily production of a herd of cows is assumed to be normally distributed with a mean of 32 liters, and standard deviation of 6.8 liters. Let X be the production of a randomly selected cow in liters. a. What is the distribution of X? X - N✓ o 32 ✓ 0° 6.8 Please show the following answers to 4 decimal places. b. If a cow is randomly chosen, find the probability that its production is more than 28.6 liters. c. If a cow is randomly chosen, find the probability that its production is between 35.4 and 38.8 liters. Please show the following answer to 1 decimal place. d. The 79th percentile of the milk production is how many liters?
Consider a tack like the one pictured below. When dropped on a table, the tack can land either point down or point up. Suppose we assume that P(tack lands point down) = 0.40. Which of the following must be true? (A) If the tack is dropped 50 times and lands point down only 10 times, then it must land point down more than 40% of the time in the next 50 drops. (B) If the tack is dropped on a table 10 times, it will land point down 4 times. (C) If the tack is dropped on a table 1,000,000 times, it will land point down 400,000 times. (D) Over many tack drops, the proportion that land point down will be very close to 0.40. (E) The tack landed point down twice in a simple random sample of 5 people who dropped it on a table.
#4 Find the probability
The length of time, X hours that a phone will work before it needs charging is normally distributed with amean of 120 hours and a standard deviation of 20 hours. Find the value of d such that P X
Estimate the absolute deviation and the coefficient of variation for the results of thefollowing calculations. Round each result so that it contains only significant digits. Thenumbers in parentheses are absolute standard deviations.
Assume that we have estimated the standard deviation of a sample x₁,. ., xn ER using the sample standard deviation s = ô(x₁,x2,...,xn). What does ô(−2x1, −2x2,..., -2xn) equal? A: s B: -4s C: 4s D: -2s E: 2s
Enter a value for π. A die is rolled until it shows 6. Denote the number of times it was rolled by X. Compute: E(X): Standard deviation of X: (enter at least 3 decimal places).
The mean is µ = 15.2 and the standard deviation is Η = 0.9.Find the probability that X is between 14.3 and 16.1.
The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 14 ☑. 6 0° & b. Find the probability that a randomly selected person with a kidney stone will take longer than 10 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days. Submit Question
Find the mean and standard deviation for each uniform continuous model.(Round "Mean" answers to 1 decimal place and "Standard deviation" answers to 4 decimal places. a. U(3, 13) b. U(90, 190) c. U(3, 99)
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.1 kg and a standard deviation of a=4.9 kg Complete parts (a) through (c) below. CODE a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 2388 (Round to four decimal places as needed.) b. If 16 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg The probability is 8663 (Round to four decimal places as needed.)
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