How many independent network servers would be needed if each has 97 percent reliability?

DAT/565 – DATA ANALYSIS AND BUSINESS ANALYTICS- Week 2 Practice Exercise (GRADED 100%)

Given P(A) = 0.35, P(B) = 0.41.

If A and B are independent, find P(A ∩ B).

P(A ∩ B)

Explanation $ Answer
P(A ∩ B) = P(A) × P(B) = 0.35 × 0.41 = 0.1435.

High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. Cockpit noise in a jet aircraft is mostly due to airflow at hundreds of miles per hour. This 3 × 3 contingency table shows 61 observations of data collected by an airline pilot using a handheld sound meter in a certain aircraft cockpit. Noise level is defined as “low”, “medium” , or “high” (92 decibels or more). There are three flight phases .
(a) Calculate the following probabilities:

A web server hosting company advertises 99.999 percent guaranteed network uptime.

(a) How many independent network servers would be needed if each has 97 percent reliability?

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