Question

*****Will fan, best response and medal*****

For this assignment, explicitly state the 5 steps of a simulation and carry out the simulation. For the first problem, use your calculator. For the second problem, use the random digit table.

A nuclear reactor facility has two separate safety systems in place to prevent a nuclear meltdown. They prevent meltdown by shutting down the reactor when the temperature reaches the danger level. The first system shuts down the reactor 80% of the time when the danger level is reached. The second system (which is completely separate from the first) shuts down the reactor 90% of the time when the danger

a. Use your calculator to do 10 repetitions with the first system alone. Theoretically it should successfully shut it down 16 out of 20 times.
b. Use your calculator to do 10 repetitions with the second system alone. Theoretically it should successfully shut it down 18 out of 20 times.
c. Use your calculator to do 20 repetitions with the first and second systems working together. The reactor will successfully shut down if one or both systems are not working.

Answer 1

@Nnesha

Answer 2

@jim_thompson5910

Answer 3

I'm a little confused about what this question is actually asking...

Answer 4

re read the first part again

Answer 5

state the five steps of the simulation and carry out the simulation? or Use your calculator to do 10 repetitions with the first system alone. Theoretically it should successfully shut it down 16 out of 20 times ?

Answer 6

both

Answer 7

I dont know what the 5 steps to a simulation are, sorry

Answer 8

is this for a statistics class or something? I havent seen a problem like this before

Answer 9

yes its for ap stat

Answer 10

ah. well good luck

Answer 11

thanks, maybe you could help with a different question?

Answer 12

ok, what's the question?

Answer 13

Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation

Every Monday a local radio station gives coupons away to 50 people who correctly answer a question about a news fact from the previous day's newspaper. The coupons given away are numbered from 1 to 50, with the first person receiving coupon 1, the second person receiving coupon 2, and so on, until all 50 coupons are given away. On the following Saturday, the radio station randomly draws numbers from 1 to 50 and awards cash prizes to the holders of the coupons with these numbers. Numbers continue to be drawn without replacement until the total amount awarded first equals or exceeds $300. If selected, coupons 1 through 5 each have a cash value of $200, coupons 6 through 20 each have a cash value of $100, and coupons 21 through 50 each have a cash value of $50.

a) Explain how you would conduct a simulation using the random number table provided below to estimate the distribution of the number of prize winners each week.

b) Perform your simulation 3 consecutive times, (that is, run 3 trials, one after another.) Start at the leftmost digit in the first row of the table and move across. Make your procedure clear so that someone can follow what you did. You must do this by marking directly on or above the table. Report the number of winners in each of your 3 trials.


72749 13347 65030 26128 49067 02904 49953 74674 94617 13317
81638 36566 42709 33717 59943 12027 46547 61303 46699 76423
38449 46438 91579 01907 72146 05764 22400 94490 49833 09258

Answer 14

hm, not sure. I havent taken a statistics course.

@campbell_st might know but he's not on right now

Answer 15

ok thanks

Answer 16

@jim_thompson5910 could you please help?

Answer 17

@campbell_st could you help?

Answer 18

you will need to use the probabilities to assign random digits

system 1: 80% success, allocate the 8 digits, say 0, 1, 2, 3, 4, 5, 6, 7
20% fail allocate 8, 9

system 2 90% success allocate 9 digits say 0, 1, 2, 3, 4, 5, 6, 7, 8
10% fail allocate 1 digit say 9

the digits you allocate can be any it doesn't affect the outcome is they are selected from a uniform distribution... each digit has the same chance of occuring.

use a table to record the results



use the random function on you calculator, it should allow for random integers.

you should use a notation system for the numbers such as (i) 7 (ii) 3 etc

(a) generate the random numbers 1 at a time and tally them into the system 1 table

(b) generate another 10 random numbers and tally them into table 2.

(c) probably needs a 2 way table....or you could draw up the tables again and show each number in each part as

(i) 2, 7 and tally the results into the appropriate areas.

hope it makes sense...

Answer 19

would this be correct for a?
1. state the problem or question
how many times should the first system shut down the reactor successfully if the system shuts down the reactor 80% of the time when the danger level is reached?
2. state the assumptions
80% of 10 would be 8 so i assume 8/10 times it will shut down
3. assign digits to represent outcomes
1-8 shut down successful
8-10 no shut down successful
4. stimulate many repetitions
10 10 2 6 5 8 1 4 10 3
5. state conclusions
6/10 or 60%

Answer 20

well the random number generator may not generate 10

so use 0 to 7 success and 8, 9 for failure... otherwise it all makes sense...

Answer 21

i used my calculator to do so and i got 10?

Answer 22

ok... that's fine...