1. Figure below gives the boxplots 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.
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?
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
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 |
5. Determine whether the distribution given below are valid probability distributions or not.
| x |
P(x) |
| 0 |
0.30 |
| 1 |
0.25 |
| 2 |
0.25 |
| 3 |
0.15 |
| 4 |
0.05 |
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
b. Let x represent the weight of a truck at a weigh station
Attachment:- Math questions.rar