I think the correct answer from the choices listed above is the first option. It is generally agreed that the role of strategy is to <span>make best use of resources. It is very important to use every little thing we have to our advantage. Hope this helps. Have a nice day.</span>
Complete Question:
A supervisor finds the mean number of miles that the employees in a department live from work. He finds x=2.9 and s=3.6. Which statement must be true?
z376 is within 1 standard deviation of the mean.
z37 is between 1 and 2 standard deviations of the mean.
z37 is between 2 and 3 standard deviations of the mean.
z37 is more than 3 standard deviations of the mean.
Answer:
z37 is between 2 and 3 standard deviations of the mean.
Explanation:
Standard deviation is a way of measuring of how much the value sample varies or disperses. A low standard deviation means that the values are near the mean value of the set, whereas a high standard deviation implies that the values are distributed over a wider range.
In reasonably average data sets, the values reflect about 68 per cent of the sample within 1 standard deviation from the mean; about 95 per cent in 2 standard deviations; and about 99.7 per cent within 3 standardized deviations.
Answer:
(a) E(X) = 3
(b) Var(X) = 12.1067
Explanation:
(a) E[X]
E[X]T = E[X]T=A + E[X]T=B + E[X]T=C
= (2.6 + 3 + 3.4)/3
= 2.6 (1/3) + 3(1/3) + 3.4(1/3)
= 2.6/3 + 1 + 3.4/3
= 3
(b) Var (X) = E[X²]−(E[X])²
Recall that if Y ∼ Pois(λ), then E[Y 2] = λ+λ2. This implies that
E[X²] = [(2.6 + 2.6²) + (3 + 3²) + (3.4 + 3.4²)]/3
= (9.36 + 12 + 14.96)/3
= 36.32/3
= 12.1067
Var(X) = E[X²]−(E[X])²
= 12 - 3²
= 12.1067 - 9
= 3.1067
