10. An atom of Uranium-238 is unstable and will eventually decay (i.e., emit a particle and turninto a different element). Given an atom of Uranium-238, the time elapsed until it decays, inyears, is modeled as an Exponential random variable with parameter 1 = 0.000000000155.How many years must pass for there to be a 50% chance that the Uranium atom decays?

Given λ = 0.000000000155 The time elapsed until it decays, in years is modeled as an exponential…

Answered: 10. An atom of Uranium-238 is unstable…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

9.1.2 10 please help with question thank you
ONLY Q22
Exercise 15. The probability an examinee scores above 90% on a certain standardized exam is 0.08. (a) Let X be the number of exams you must sample before you finally see ten with scores above 90%. Compute E(X) and sd(X). (b) Consider the random experiment, "Sample exams until you see ten with scores above 90%." Suppose you repeat this random experiment a trillion times and record the number of exams sampled (X values) each time. What is the (i) sample average and (ii) sample standard deviation of these trillion X values?
A grasshopper hops between three flowers, labelled 1, 2, 3. It starts from flower 1. Once it arrives at a flower, it sits there for a period of time distributed exponentially with parameter 2. Then it makes a jump, as follows: if it is located on flower 1, it jumps to 2 or 3 with equal probability; if it is located at 2, it jumps to 3, and if it is at 3, it jumps to 2. (a) Model the grasshopper using a continuous-time Markov chain. Find the states, the initial distribution and the jump rates! (b) What is the probability that at time t the grasshopper will sit on the third flower?
11-
The time that it takes to service a car is an exponential random variable with rate 1.1. If A brings his car in at time 0 and B brings his car in at time t, what is the probability thatB’s car is ready before A’s? Assume that the service times are independent, and the servicebegins upon arrival.2. If both cars are brought in at time 0, with work starting on B’s car only when A’s car has beencompletely serviced, what is the probability that B’s car is ready before 2? Detailed explanation and calculation would be much appreciated.
Q 20
Please solve asap.
The lifetime of a bulb is modeled as a Poisson variable. You have two bulbs types A andB with expected lifetime 0.25 years and 0.5 years, respectively. When a bulb’s life ends, it stops working. You start with new bulb of type A at the start of the year. When it stopsworking, you replace it with a bulb of type B. When it breaks, you replace with a type Abulb, then a type B bulb, and so on.1. Find the expected total illumination time (in years), given you do exactly 3 bulb re-placements2. Your replacements are now probabilistic. If your current bulb breaks, you replaceit with a bulb of type A with probability p, and with type B with probability (1 –p). Find the expected total illumination time (in years), given you do exactly n bulbreplacements, and start with bulb of type A
5) Cobalt-60 is used in many common industrial applications and in radiotherapy in hospitals. Large sources of cobalt-60 are increasingly used for sterilization of spices and certain foods. The powerful gamma rays kill bacteria and other pathogens, without damaging the product. After the radiation ceases, the product is not left radioactive. This process is sometimes called "cold pasteurization. The following is the experimental data taken for Cobalt-60 Time (year) 2 70 Mass (g) And the model for radioactive decay is: •(†Ð)* m = m₂ Σ... - [(Σ.) (Σ.)]/n Σx² - (Σxi)²/n 6 45 b₁ = bo = ý – b c) Find mo and the half-life of this material 11 22 a) Linearize the proposed equation b) Find the equation of the regression line by least squares estimates 14 12 17 10 21 4

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS