The number of bacteria colonies of a certain type in samples of polluted water has aPoisson distribution with a mean of 2 per cubic centimeter (cm³).a. If four 1-cm' samples are independently selected from this water, find theprobability that at least one sample will contain one or more bacteria colonies.b. How many l-cm³ samples should be selected in order to have a probability ofapproximately 0.95 of seeing at least one bacteria colony?

Answered: The number of bacteria colonies of a…

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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A. Classify each random variable as discrete or continuous. 1. X: Number of women among 20 newly hired teachers 2. Y: Height (in centimeters) of a 30 randomly selected adult males 3. Z: Number of car accidents among 8 selected cities 4. A: Amount of rainfall (in millimeters) in different cities in Metro Manila 5. B: Number of gifts received by 20 students during Christmas season
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than 0.21.
Suppose a certain retailer sells several models of refrigerators. A random sample of the models sold by this retailer and their corresponding cubic feet (cu. ft.) and list price can be found below. Model Cu. Ft. List Price Model 1 18.3 $899.99 Model 2 24.8 $1,799.99 Model 3with Thru-the-Door Ice and Water 25.4 $1,799.99 Model 4 19.3 $749.99 Model 5 17.3 $599.99 Model 6with Thru-the-Door Ice and Water 19.6 $1,619.99 Model 7 25.0 $999.99 Model 8 24.5 $1,299.99 Model 9with Thru-the-Door Ice and Water 25.4 $1,299.99 Model 10with Thru-the-Door Ice and Water 26.0 $1,299.99 Model 11with Thru-the-Door Ice and Water 25.6 $1,099.99 Model 12 18.0 $679.99 Model 13with Thru-the-Door Ice and Water 25.0 $2,199.99 Model 14 20.8 $849.99 Model 15 15.5 $549.99 Model 16with Thru-the-Door Ice and Water 28.2 $2,599.99 Model 17 27.8 $2,999.99 Model 18with Thru-the-Door Ice and Water 26.6 $2,399.99 Model 19with Thru-the-Door Ice and Water 22.6 $1,099.99 Model 20with…
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 113 cm and a standard deviation of 5.7 cm. A. Find the probability that one selected subcomponent is longer than 115 cm. Probability = B. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 115 cm. Probability = C. Find the probability that if 3 are randomly selected, all 3 have lengths that exceed 115 cm. Probability =
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The average score of all golfers for a particular course has a mean of 72 and a standard deviation of 3. Suppose 36 golfers played the course today. Find the probability that the average score of the 36 golfers exceeded 73. O A. 0.3707 O B. 0.4772 OC. 0.1293 O D. 0.0228
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