In conditional probability, the notation P (A l B) is read:

"The probability of event A occurring given that event B has occurred."

For example: In the following two-way table P (Walk to school | Sophomore) = 3 /(2+25+3) = 0.1

 

Grade	Drive to School	Take the Bus	Walk
Sophomore	2	25	3
Junior	13	20	2
Senior	25	5	5

 

P (Take the bus | Sophomore) = [?]

Round to the nearest hundredth.

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The area of a triangle with sides of length a and b and contained angle is

1. If a =2cm , b = 3 cm , increase at a rate of 0.2 rad/min .How fast is the area increasing when ?

2. If a = 2cm , b increases at a rate of 1.5 cm/min and increases at a rate of 0.2rad/min, how fast is the area increasing when b = 3 cm , and ?

3. If a increases at a rate of 2.5 cm/min, b increases at a rate of 1.5 cm/min and increases at a rate of 0.2 rad/min, How fast is the area increasing when a =2cm ,b=3 cm, ?

The radius of a sphere is increasing at a rate of . How fast is the volume increasing when the diameter is ?

c) Suppose the price increases at a rate $7/month. How fast does the demand decrease when the demand is q = 3?