14. The following table gives the number of heart failures experiences at a local hospital every week.
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14. The following table gives the number of heart failures experiences at a local hospital every week. It further shows the probability of each number of heart monitor failures. Determine the expected value of the number of heart monitor failures in a given week. a. Calculate the expected number of failures per week. b. Find the standard deviation for the distribution. c. If the hospital has one tech on duty at all times and one tech can fix two monitors a week. Does the hospital need to staff more techs?
Please help with step by step excel calculations as well as explaining the answer. THAnk you
| Number of heart monitor failures(x) | Probability (Xi) | Total |
| 1 | 0.15 | 0.15 |
| 2 | 0.1 | 0.2 |
| 3 | 0.25 | 0.75 |
| 4 | 0.3 | 1.2 |
| 5 | 0.2 | 1 |
| Total failures per week | 3.3 |
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