In a survey of 400 Latin music downloads in a certain year, 200 were regional (Mexican/Tejano), 120 were pop-rock, 75 were tropical (salsa/merengue/cumbia/bachata), and 5 were urban (reggaeton). Calculate the following relative frequency that a music download was neither tropical nor regional.
2)Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled.
The red one is 3, given that the sum is 9.
3)You are given a transition matrix P. Find the steady-state distribution vector.
P =
2/9,7/9,5/7,2/7
Answers
Given : In a survey of 400 Latin music downloads in a certain year, 200 were regional (Mexican/Tejano), 120 were pop-rock, 75 were tropical (salsa/merengue/cumbia/bachata), and 5 were urban (reggaeton).
To Find : Calculate the following relative frequency that a music download was neither tropical nor regional.
Solution:
Total outcomes = 400
regional =200
pop-rock = 120
tropical = 75
urban = 5
neither tropical nor regional. = 400 - (75 + 200)
= 125
relative frequency that a music download was neither tropical nor regional.
= 125/400
= 5/16
= 0.3125
Red = 3 Green = 6 , Red = 4 Green = 5 , Red = 5 Green = 4 , Red = 6 Green = 3
conditional probability of the indicated event when two fair dice (one red and one green) are rolled The red one is 3, given that the sum is 9.
= 1/4
=0.25
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