he experimental procedure for empirical data is to pick one card from a deck of shuffled cards. 1. The number of diamonds picked by the group is recorded in the table below. Calculate the relative frequencies. x Frequency Relative Frequency 0 1 1 2 2 3 3 7 4 9 5 2 6 1 7 0 8 0 9 0 10 0 2. Calculate the following (Use a TI calculator, letting L1 be the “x” column and L2 be the “frequency” column.) a. x¯= ________ b. s = __________ 3. Construct a histogram of the empirical data. (Use the “.5” points halfway between each integer value on the “number of diamonds” axis; e.g. 0.5 , 1.5, …) 4. Build the theoretical probability table based on the distribution above. Use the binomial distribution with the theoretical probability and number of trials with each possible value. (To calculate the first value where x = 0, use binomialpdf(n, p, 0), where n and p are your theoretical probability and the number of draws. Do the same thing for x = 1 with binomialpdf(n, p, 1), etc.) x P(x) 0 1 2 3 4 5 6 7 8 9 10
The experimental procedure for empirical data is to pick one card from a deck of shuffled cards.
1. The number of diamonds picked by the group is recorded in the table below. Calculate the relative frequencies.
| x | Frequency | Relative Frequency |
| 0 | 1 | |
| 1 | 2 | |
| 2 | 3 | |
| 3 | 7 | |
| 4 | 9 | |
| 5 | 2 | |
| 6 | 1 | |
| 7 | 0 | |
| 8 | 0 | |
| 9 | 0 | |
| 10 | 0 |
2. Calculate the following (Use a TI calculator, letting L1 be the “x” column and L2 be the “frequency” column.)
a. x¯= ________
b. s = __________
3. Construct a histogram of the empirical data. (Use the “.5” points halfway between each integer value on the “number of diamonds” axis; e.g. 0.5 , 1.5, …)
4. Build the theoretical probability table based on the distribution above. Use the binomial distribution with the theoretical probability and number of trials with each possible value. (To calculate the first value where x = 0, use binomialpdf(n, p, 0), where n and p are your theoretical probability and the number of draws. Do the same thing for x = 1 with binomialpdf(n, p, 1), etc.)
| x | P(x) |
| 0 | |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | |
| 6 | |
| 7 | |
| 8 | |
| 9 | |
| 10 |
a. Calculate the following:
a. μ = ____________
b. σ = ____________
b. Construct a histogram of the theoretical distribution. (Use the same graphing method described above.)
Use the table from the Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.
P(x = 3) = _______________________
P(1 < x < 4) = _______________________
P(x ≥ 8) = ______________________
Use the data from the Organize the Data section to calculate the following answers. Round your answers to four decimal places. (Here “RF” represents the Relative Frequencies from the first table.)
RF(x = 3) = _______________________
RF(1 < x < 4) = _______________________
RF(x ≥ 8) = ______________________
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Use the data from the Organize the Data section to calculate the following answers. Round your answers to four decimal places. (Here “RF” represents the Relative Frequencies from the first table.)
- RF(x = 3) = _______________________
- RF(1 < x < 4) = _______________________
- RF(x ≥ 8) = _______________________
by Bartleby ExpertUse the table from the Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.
- P(x = 3) = _______________________
- P(1 < x < 4) = _______________________
- P(x ≥ 8) = ______________________
Use the data from the Organize the Data section to calculate the following answers. Round your answers to four decimal places. (Here “RF” represents the Relative Frequencies from the first table.)
by Bartleby Expert
by Bartleby Expert4. Build the theoretical
| x | P(x) |
| 0 | |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | |
| 6 | |
| 7 | |
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by Bartleby Expert
