Answer:
- As explained below, with the individual’s score in the 0.03125 fraction of top candidates, they can anticipate securing a position.
Explanation:
Utilizing Chebyshev’s Theorem is key.
This theorem is valid for any dataset, irrespective of its shape.
Chebyshev's Theorem states that at least 1−1/k² of the data falls within k standard deviations from the mean.
For this data set, the specifics are:
- mean: 60
- standard deviation: 6
- score: 84
The number of standard deviations that 84 is from the mean can be calculated as:
- k = (score - mean) / standard deviation
- k = (84 - 60) / 6 = 24 / 6 = 4
Hence, the individual’s score is 4 standard deviations above the mean.
How significant is this?
According to Chebyshev’s Theorem, at least 1−1/k² of the data is within k standard deviations from the mean. Setting k = 4 gives us:
- 1 - 1/4² = 1 - 1/16 = 0.9375
- This implies that half of 1 - 0.9375 exceed k = 4: 0.03125
- Consequently, 1 - 0.03125 is below k = 4: 0.96875
With 70 job openings and 1,000 applicants, the ratio is 70/1,000 = 0.07, indicating the company seeks the top 0.07 of applicants.
Given the individual scores in the top 0.03125 of applicants, they can expect to obtain a job.
Answer:
2 Days
Explanation:
To clarify, we need to restate the utility function for clarity
U=V^{1/2}
1. Probability of an illness occurring in the family is 20%
2. If an illness occurs, the total number of days impacted is calculated as:
Total vacation days = 10 days x Probability of illness = 20%
= 10 x 0.2 = 2 days
This indicates that should an illness occur based on this probability, 2 out of the 10 vacation days will be affected
3. The number of remaining vacation days to enjoy would thus be 10-2 = 8 days
This indicates that even after accounting for 2 days of potential illness, the family can still enjoy their vacation period.
V= 2 days
The value proposition does not define the leadership of the partnership. The proper answer is A. This proposition signifies a commitment to generate value. Achieving this involves the collaboration of multiple individuals and strategies to fulfill that promise. Shared objectives, changes, and the involvement of partners are critical components of the value proposition.
