Question

When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed...

When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to 979,293 radioactive​ atoms, so 20,707 atoms decayed during 365 days.

a. Find the mean number of radioactive atoms that decayed in a day.

b. Find the probability that on a given​ day, 50 radioactive atoms decayed.

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

Homework Answers

Answer #1

X : number of atoms decayed per day

the number of atoms decayed is random and the decaying is uniformly distributed.

so, we can say that,

a). the mean number of radioactive atoms that decayed in a day be:-

b). the pmf of the distribution is:-

the probability that on a given​ day, 50 radioactive atoms decayed be:-

*** if you have any doubt regarding the problem please write it in the comment box...if you are satisfied please give me a LIKE if possible...

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
When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed...
When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to comma 970,128 radioactive​ atoms, so 29,872 atoms decayed during 365 days. a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given​ day, 50 radioactive atoms decayed.
When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed...
When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to 979,634 radioactive​ atoms, so 20,366 atoms decayed during 365 days a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given​ day, 51 radioactive atoms decayed.
Radioactive atoms are unstable because they have too much energy. When they release their extra energy,...
Radioactive atoms are unstable because they have too much energy. When they release their extra energy, they are said to decay. When studying a particular radioactive element, it is found that during the course of decay over 365 days, 1,000,000 radioactive atoms are reduced to 986,949 radioactive atoms. Find the mean number of radioactive atoms lost through decay in a day. mean = Find the probability that on a given day 30 radioactive atoms decayed. P(X = 30) =
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.74 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...
The clearness index was determined for the skies over Baghdad for each of the 365 days...
The clearness index was determined for the skies over Baghdad for each of the 365 days during a particular year. The following accompanying table summarizes the resulting data. Clearness Index Number of Days (frequency) 0.15 to <0.25 9 0.25 to <0.35 19 0.35 to <0.45 28 0.45 to <0.50 24 0.50 to <0.55 39 0.55 to <0.60 52 0.60 to <0.65 96 0.65 to <0.70 87 0.70 to <0.75 11 (a) Determine the relative frequencies and fill in the following...
1) A researcher reports that when groups of four children are randomly selected from a population...
1) A researcher reports that when groups of four children are randomly selected from a population of couples meeting certain criteria, the probability distribution for the number of girls, ?, is given in the following table where ? is a positive constant. x ?(?) ?(? ≤ ?) 0 0.4 ? 1 ? ? 2 3? − 0.2 ? 3 2? ? 4 0.2 ? a) Find ?(2). b) Complete the column of cumulative probability. (Please rewrite the table in your...
Please answer each question and explain how you found the correct answer. 2. Additionally, customer satisfaction...
Please answer each question and explain how you found the correct answer. 2. Additionally, customer satisfaction surveys have indicated that 65% (p=.65) of all TGP customers rate service as good or excellent. You are taking a new survey to see if this is still the case. Assuming a normal distribution, what is the probability that: a) your inquiry of 90 customers will provide a sample proportion within + and - .10 of the population proportion? b) Your inquiry of 90...
2. How many ways can you select a planning committee of three for a group of...
2. How many ways can you select a planning committee of three for a group of eight executives 3. You have produced four advertisements to use while selling a new product. What are all the possible ways you can order these four ads if you plan to only use two during the summer months 4. A manufacturer of cranes purchases electric motors from three suppliers: General Electric, Westinghouse, and Samsung. Thirty percent of the motors are purchased from General Electric,...
MATH220 Lab04 Due Date: See ACE Excel File: Lab2204-182.xlsx 1 Question 1: (by hand) A retail...
MATH220 Lab04 Due Date: See ACE Excel File: Lab2204-182.xlsx 1 Question 1: (by hand) A retail establishment accepts either the American Express card or the VISA credit card. A total of 30% of its customers carry an American Express card, 70% carry a VISA card, and 20% carry both. a) Find the probability that a randomly selected customer carries at least one of the two credit cards. i) Draw a Venn diagram and shade the region corresponding to at least...
provide a brief explanation for each chart below. Determine  whether a statistically reliable oil consumption model can...
provide a brief explanation for each chart below. Determine  whether a statistically reliable oil consumption model can be estimated based on the regression analysis charts below Dupree Fuels Company is facing a difficult problem. Dupree sells heating oil to residential customers. Given the amount of competition in the industry, both from other home heating oil suppliers and from electric and natural gas utilities, the price of the oil supplied and the level of service are critical in determining a company’s success....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT