In Thunder Bay, during the month of June, afternoon thunderstorm rainfall frequently occurs. Based on theassumption that in Thunder Bay, there is a 20% chance of occurrence of a thunderstorm rainfall on any day ofthe month of June, compute the probability of having 5 days free of thunderstorm rainfall in Thunder Bay.What is the probability of one rainy day during the 5 days?(a) Compute the area under the standard normal curve for the following cases: (a) between z = 0 and z =1.5, (b) z = -1.5 and z = 0, and (c) between z = - 0.5 and z= 2.5.(b) The probability of a flood event occurring every year is 0.4. What is the probability of this eventoccurring in year 2 and not in year 1?(c) What is the probability that a 5-year flood will occur three times in a period of 10 years? What is theprobability that it will occur at all? How many floods of this magnitude will occur, on average, duringthe 10 years?

Answered: In Thunder Bay, during the month 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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The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected.If P(x > c) = 0.502 , find c.
Suppose, household color TVs are replaced at an average age of μ = 9.0 years after purchase, and the (95% of data) range was from 5.8 to 12.2 years. Thus, the range was 12.2 − 5.8 = 6.4 years. Let x be the age (in years) at which a color TV is replaced. Assume that x has a distribution that is approximately normal. (a) The empirical rule indicates that for a symmetric and bell-shaped distribution, approximately 95% of the data lies within two standard deviations of the mean. Therefore, a 95% range of data values extending from μ − 2σ to μ + 2σ is often used for "commonly occurring" data values. Note that the interval from μ − 2σ to μ + 2σ is 4σ in length. This leads to a "rule of thumb" for estimating the standard deviation from a 95% range of data values. Estimating the standard deviationFor a symmetric, bell-shaped distribution, standard deviation ≈ range 4 ≈ high value − low value 4 where it is estimated that about 95% of the commonly occurring data…
Suppose that the life span of a certain automobile tire is normally distributed with µ = 24,000 miles and o= 1500 miles. (a)Find the probability that a tire will last between 25,500 and 27,000 miles. (b) Find the probability that a tire will last more than 26,550 miles. Click the icon to view the areas under the standard normal curve. (a) The probability is (Round to four decimal places as needed.) (b) The probability is (Round to four decimal places as needed.)
The area under a normal curve corresponding to a certain characteristic of the normal random variable may be interpreted in any of the following ways. Select all that apply. A. The area corresponds to the proportion of the population with the characteristic. B. The area corresponds to the probability that a randomly selected individual from the population has the characteristic. C. The area corresponds to the number of individuals in the population with the characteristic.
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 147 lb and a standard deviation of 28.7 lb. Click here to view page 1 of the standard normal distribution Click here to view page 2 of the standard normal distribution. COS a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) b. If 38 different pilots are randy selected, find the probability that their mean weight is between 140 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? A. Part (b) because the seat performance for a sample of pilots is more important. OB. Part (a) because the seat performance for a single pilot is more important. OC.…
A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) OA. Ho Hd #0 HA Hd=0 OC. Ho Hd ≤0 HA Hd >0 Calculate the standardized test statistic t= (Round to three decimal places as needed.) Calculate the P-value P-value= (Round to four decimal places as needed) State the conclusion. 1 205 204 Ho. There C 2 225 222 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be…
The average height of American females aged 18–24 isnormally distributed with mean μ = 65.5 inches and σ = 2.5 inches. What is the probability a female is between 5'1'' and 5'4'' tall?
Jarþrúður, a geologist is working with the random variable Z that follows the standard normal distribution. What is the value of z if P (Z> z) = 0.0968?
If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the probability of obtaining a score less than X = 130 is p = 0.9987. True False
(b) A company has 16 cars of this model in its fleet. What is the probability that the average NOX + NMOG level x¯ of these cars is above 90 mg/mi? - life for one car model vary Normally with mean 84 mg/mi and standard deviation 6 mg/mi
The standard normal curve exhibits heavier tails versus the t-distribution curve True False

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