Let X = Hourly Median Power (In Decibels) of Received $\mu = 3.5 \text { and } \sigma = 1.2 \text {, }$

question 12

Essay

Let X = hourly median power (in decibels) of received radio signals transmitted between two cities. It is believed that the lognormal distribution provides a reasonable probability model for X. If the parameter values are $\mu = 3.5 \text { and } \sigma = 1.2 \text {, }$ calculate the following:
a. The mean value and standard deviation of received power
b. The probability that received power is between 50 and 250 dB
c. The probability that X is less than its mean value. Why is this probability not .5?

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Definitions:

Lex Mercatoria

A body of commercial law and customs used by merchants throughout Europe during the medieval period, which still influences international trade law today.

Law of Merchants

Historical body of law originating from the practices of merchants and traders dealing with questions of commerce and trade.

Trade Agreements

Contracts between states or countries governing the terms of trade between them, which may include tariffs, trade quotas, and other trade-related provisions.

U.S. and Mexico

Refers to the geopolitical, economic, and cultural relationship between the United States of America and Mexico.