**Question 12:**The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 5 minutes. What is the probability that it will take a mechanic between 3 and 5 minutes to change the oil?- ○ 0.3907- ○ 0.1809- ○ 0.4379- ○ 0.2316*Note: There are no graphs or diagrams associated with this question.*

Let X denotes the time to take a mechanic to change the oil Given that X follows exponential…

Answered: 12. The time it takes a mechanic to…

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 the time it takes for bacterial growth on a dairy product after it is taken out of fridge follows an Exponential distribution with a mean of 10 minutes. What is the probability that bacterial growth will not happen in 15 minutes if the dairy product has already been out of the fridge for 10 minutes? O A. 0.393 O B. 0.777 O C. 0.607 O D. 0.223 Reset Selection
3.3 Solve the below problem: A manufacturing plant uses a specific bulk product. The amount of product used in one day can be modelled by an exponential distribution with B = 2 (measurements in tons). Find the probability that the plant will use more than 2 tons on a given day. Interpret your answer.
48. The lifetime of certain electronic components is assumed to have an exponential distribution. Assuming the average lifespan of these components is 250 hours, ... (a) Find the pdf of the lifespan of these components. (b) Find the median lifespan of these components. (c) Find the proportion of components with a lifespan less than 200 hours. (d) Find the proportion of components with a lifespan greater than 275 hours.
The age of children in kindergarten on the first day of school is uniformly distributed between 4.95 and 5.95 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is 5.45 b. The standard deviation is 0.2945 c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.35 and 5.55 years old is e. If such a child is at the 46th percentile, how old is that child? years old.
6. The magnitude (Richter scale) of earthquake along a Taiwanese fault is exponentially distributed, with A= (1/2.5). What is the probability of an earthquake exceeding magnitude 6.4? There is 1 earthquake per year (on average) along the fault with magnitude greater than 5.5. Given this, what is the probability of an earthquake during the year that exceeds magnitude 7.2?
Assume that the amount of time until a kid gets bored and wants to leave a playground can be modeled using exponential distribution. Given that 5 kids leave a particular playground on average per hour, if a kid has already played 10 minutes there what is the probability he will have spent at least a total of 25 minutes before he leaves? OA. 0.2865 OB. 0,7135 OC 0.8755 OD.0.1245
Suppose that the time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with 1 = 0.0003. What proportion of the fans will last at most 10,000 hours? What proportion of the fans will last at least 7000 hours? a. 0.0498, 0.1225 O b.0.9502, 0.1225 O c. 0.0498, 0.8775 O d. NONE
What is the probability when x = 1 and the mean = 10 and standard deviation = 3. c. 0.1151 a. 0.0013 b. 0.0179 d. 0.1841 Ans:
Yellow one is tab #1
2.Assume T is a random variable representing time, with an exponential distribution and a mean of 21. Find the probability P(T <= 21).
The age of children in kindergarten on the first day of school is uniformly distributed between 4.95 and 5.87 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.35 and 5.55 years old is e. If such a child is at the 44th percentile; how old is that child? years old. Question Help: Video 1 C Video 2 e Written Example 1 Message instructor Submit Question Jump to Answer 80 こ。 DD F3 F4 F5 F6 F7 FS %23 $ & 1 3 4 7 8. 9 W E R T Y S K C B M つ

The time that a student spends on finding a certain book in library have an exponential distribution of 8 minutes. Find the following : A. Rate parameter B. standard deviation C. probability that the time spent in searching is less than 5 minutes D. 50th percentile E. Time spent that belongs to the highest 5%

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12. The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 5 minutes. What is the probability that it will take a mechanic between 3 and 5 minutes to change the oil? .3907 .1809 .4379 .2316