The Probabilities Shown in a Table with Two Rows $A _ { 1 } \text { and } A _ { 2 }$

question 24

Multiple Choice

The probabilities shown in a table with two rows, $A _ { 1 } \text { and } A _ { 2 }$
And two columns, $B _ { 1 } \text { and } B _ { 2 }$
,are as follows: $P \left( A _ { 1 } \text { and } B _ { 1 } \right) = .10$
, $P \left( A _ { 1 } \text { and } B _ { 2 } \right) = .30$
, $P \left( A _ { 2 } \text { and } B _ { 1 } \right) = .05$
,and $P \left( A _ { 2 } \text { and } B _ { 2 } \right) = .55$
) Then $P \left( A _ { 1 } \mid B _ { 2 } \right)$
,calculated up to two decimals,is

• A) .33
• B) .35
• C) .65
• D) .67

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Definitions:

PI-type Filters

A form of electronic filter design that combines a parallel capacitor with a series inductor to block unwanted frequencies, characterized by its resemblance to the letter "PI" in schematic diagrams.

Greek Letter

Characters from the Greek alphabet used in mathematics, science, and engineering as symbols for constants, variables, and coefficients.

Band-rejection Filter

A filter designed to block frequencies within a specific range while allowing frequencies outside of that range to pass.

Filter Circuit

An electronic circuit designed to remove unwanted components of a signal, such as noise, or to select desired ranges of frequencies.