Question

Suppose that on average atoms of a particular radioactive isotope decay to atoms of a stable...

  1. Suppose that on average atoms of a particular radioactive isotope decay to atoms of a stable isotope in 2 minutes.

    1. (a) Let T1 and T2 be the independent decay times of two radioactive atoms in a sample. Compute the cdf of M := max{T1, T2}.

    2. (b) If a sample is known to contain 3 radioactive atoms with independent decay times, what is the probability that the sample will still be radioactive in 4 minutes?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A sample of a radioactive isotope of an element contains 50 million atoms and is found...
A sample of a radioactive isotope of an element contains 50 million atoms and is found to have a decay rate of 5 hundred atoms per year. What is the half-life of the isotope? (Give your answer correct to at least two decimal places.)
The half-life for the radioactive decay of U−238 is 4.5 billion years and is independent of...
The half-life for the radioactive decay of U−238 is 4.5 billion years and is independent of initial concentration. A) How long will it take for 10% of the U−238 atoms in a sample of U−238 to decay? Express your answer using two significant figures. B) If a sample of U−238 initially contained 1.4×1018 atoms when the universe was formed 13.8 billion years ago, how many U−238 atoms will it contain today? Express your answer using two significant figures.
15.57 The half-life for the radioactive decay of U−238 is 4.5 billion years and is independent...
15.57 The half-life for the radioactive decay of U−238 is 4.5 billion years and is independent of initial concentration. How long will it take for 20% of the U−238 atoms in a sample of U−238 to decay? Express your answer using two significant figures. If a sample of U−238 initially contained 1.1×1018 atoms when the universe was formed 13.8 billion years ago, how many U−238 atoms will it contain today? Express your answer using two significant figures.
The 238U nucleus has a relatively complicated radioactive decay sequence until it becomes a stable 206Pb...
The 238U nucleus has a relatively complicated radioactive decay sequence until it becomes a stable 206Pb nucleus. The questions below should help you understand why this sequence is not a simple series of alpha decays, but involves both alpha and beta-minus decays. How many protons and how many neutrons must be removed from the unstable 238U nucleus to decay into a stable 206Pb nucleus? 1)How many protons and neutrons? 2) Find the minimum, actual, and extra number of alpha decays...
Please answer all parts of the following question. Please show all work and all steps. 1a.)...
Please answer all parts of the following question. Please show all work and all steps. 1a.) Let Xn be a Marcov chain with the states S = {0,1} starting from 0. The transition probability is given by p = ( 1/3 2/3) 1/2 1/2 Compute P(X2=1) and compute P(X3=0 given X2=1) 1b.) Suppose that T1 and T2 are stopping times. Determine whether the following are stopping time or not: (1) T1 + T2, (2) T1 − 1 (assuming T1 ≥...
The half-life of a radioactive isotope represents the average time it would take half of a...
The half-life of a radioactive isotope represents the average time it would take half of a collection of this type of nucleus to decay. For example, you start with a sample of 1000 Oxygen-15 (15O) nuclei, which has a half-life of 122 seconds. After 122 seconds, half of the 15O nuclei will have decayed into Nitrogen-15 (15N) nuclei. After another 122s, half of the remaining Oxygen nuclei will have also decayed, and so on. Suppose you start with 4.00×103 15O...
A particular variety of watermelon weighs on average 21.3 pounds with a standard deviation of 1.07...
A particular variety of watermelon weighs on average 21.3 pounds with a standard deviation of 1.07 pounds. Consider the sample mean weight of 90 watermelons of this variety. Assume the individual watermelon weights are independent. a. What is the expected value of the sample mean weight? Give an exact answer. b. What is the standard deviation of the sample mean weight? Give your answer to four decimal places. c. What is the approximate probability the sample mean weight will be...
Suppose that on the average the number of particles emitted from a radioactive substance is five...
Suppose that on the average the number of particles emitted from a radioactive substance is five per second. What is the probability that it will take less than 3 seconds for the next two particles to be emitted? A beam of length 1 , rigidly supported at both ends, is hit suddenly at a random point, which leads to a break at a position X from the right end. If the distribution of X is beta, with =4,  β=2 , what...
A device has two electronic components. Let ?1T1 be the lifetime of Component 1, and suppose...
A device has two electronic components. Let ?1T1 be the lifetime of Component 1, and suppose ?1T1 has the exponential distribution with mean 5 years. Let ?2T2 be the lifetime of Component 2, and suppose ?2T2 has the exponential distribution with mean 4 years. Suppose ?1T1 and ?2T2 are independent of each other, and let ?=min(?1,?2)M=min(T1,T2) be the minimum of the two lifetimes. In other words, ?M is the first time one of the two components dies. a) For each...
Suppose that a category of world class runners are known to run a marathon (26 miles)...
Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 149 minutes with a standard deviation of 14 minutes. Consider 49 of the races. Let X = the average of the 49 races. Part (a) Give the distribution of X. (Round your standard deviation to two decimal places.) X ~     ,   Part (b) Find the probability that the average of the sample will be between 148 and 151 minutes in...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT