Answer:
The ratio of callers on hold for more than 2.8 minutes is 0.3679
Explanation:
μ = 2.8, λ = 1/2.8,
Using the exponential distribution:
P(x>k) = exp(-λk)
= exp(-2.8/2.8)
= 0.3679
Thus, the fraction of callers who are placed on hold for over 2.8 minutes is 0.3679
Answer:
The estimated 90% confidence interval for the average depth of all frames in the consignment ranges from a lower boundary of 105.419 mm to an upper boundary of 106.581 mm.
Explanation:
The confidence interval for the mean is calculated as mean +/- margin of error (E)
mean = 106 mm
sample sd = 3.5mm
n is the sample size = 100
degree of freedom = n-1 = 100-1 = 99
confidence level (C) = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
the critical value (t) for 99 degrees of freedom at a 10% significance level is 1.6602
E = t × sample sd/√n = 1.6602×3.5/√100 = 0.581 mm
Lower limit of mean = mean - E = 106 - 0.581 = 105.419 mm
Upper limit of mean = mean + E = 106 + 0.581 = 106.581 mm
The 90% confidence interval is (105.419 mm, 106.581 mm)
Answer:
Theory X management style
Explanation:
Theory X management revolves around the assumptions about the typical laborer. This management theory posits that the average employee is unmotivated, irresponsible, and driven solely for specific rewards. Overall, managers adopting the Theory X approach believe their employees are less intelligent, inferior, and work primarily for secure paychecks.
In this management approach, supervisors maintain tight control over their workers; therefore, this style is appropriate when a company is experiencing significant challenges, where additional issues may result in catastrophic failure.
