a total of 40 percent of the voters in a city classify themselves as independents, whereas 35 percent classify themselves as liberals, and 25 percent as conservatives. in a recent election, 40 percent of the independents, 75 percent of the liberals, and 65 percent of the conservatives voted. given that a person voted in the election, what is the probability that the person is an independent

Probability = 0.088 ie 8.8%

Step-by-step explanation:

P (I) = 40% = 0.4

P (L) = 35% = 0.35

P (C) = 25% = 0.25

P (EV / I) = 40% = 0.4

P (EV / L) = 75% = 0.75

P (EV / C) = 65% = 0.65

P (I / EV) = [ P (EV / I) . P (I) ] / [ P ( EV) ]

[ P (EV / I) . P (I) ] / [ P (EV / I) + P (EV / L) + P (C / L)

[(0.4) (0.4)]  / [ 0.4 + 0.75 + 0.65 ]

0.16 / 1.8

= 0.088 ie 8.8%

answer is 144

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for