must use attachment to answer the 6 math questions
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|
| 2 |
>Problem
|
| 1 |
| Figure below gives the bo
|
| x |
plots comparing the base yearly salaries of employees
| in marketing and employees in research for a large company. Identify the five number summaries. |
| for each profession. Interpret them like we did in the class. |
| Marketing |
Research |
| Min |
| Max |
| First Quartile |
| Second Quartile |
| Third Quartile |
| Marketing Interpretations |
Research Interpretations |
|
| Interpretation of Minimum |
Interpretation of Minimum
|
| Hint: The minimum salary is xx. |
Hint: The minimum salary is xx.
|
| Interpretation of Maximum |
Interpretation of Maximum
|
| Hint: The maximum salary is xx. |
Hint: The maximum salary is xx.
|
| Interpretation of First Quartile |
Interpretation of First Quartile
|
| Hint: 2
| 5 |
% of salaries are less than xx. 75% are greater than xx.
Hint: 25% of salaries are less than xx. 75% are greater than xx.
|
| Interpretation of Second Quartile |
Interpretation of Second Quartile
|
| Hint: 5
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|
|
| 0 |
% of salaries are less than xx. 50% are greater than xx.
Hint: 50% of salaries are less than xx. 50% are greater than xx.
|
| Interpretation of Third Quartile |
Interpretation of Third Quartile
|
| Hint: 75% of salaries are less than xx. 25% are greater than xx. |
Hint: 75% of salaries are less than xx. 25% are greater than xx.
Problem 2
| An insurance company determines that in every 100 claims,
|
|
| 4 |
are fraudulent.
| What is the probability that the next claim the company processes will be |
| fraudulent? |
| Please state the probability as a decimal value. |
Problem
|
| 3 |
| A review of emergency room records at rural Millard Fellmore Memorial Hospital |
| was performed to determine the probability distribution of the number of patients |
| entering the emergency room during a 1-hour period. The following table lists this |
| probability distribution. |
| Patients per hour |
Probability |
0
| 0.2725 |
1
| 0.3543 |
2
| 0.2303 |
3
| 0.0998 |
4
| 0.0324 |
5
| 0.0084 |
| 6 |
0.0023 |
| Determine the probability that the number of patients entering the emergency room |
| during a randomly selected 1-hour period is |
| a) 2 or more |
| b) exactly 5 |
| c) fewer than 3 |
| d) at most 1 |
Problem 4
| Find the missing probability in the following probability distribution. |
x
|
| P(x) |
0
| 0.07 |
1
| 0.20 |
2
| 0.38 |
3
4
| 0.13 |
Problem 5
| Determine whether the distribution given below are valid probability distributions or not. |
x P(x)
0
| 0.30 |
1
|
| 0.25 |
|
| (Choose one) |
2 0.25
3
| 0.15 |
4
| 0.05 |
Problem 6
| Determine whether the random variable x is discrete or continuous |
| a. Let x represent the number of pumps in use at a gas station |
(Choose one)
| b. Let x represent the weight of a truck at a weigh station |
(Choose one)
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