Suppose that 60% of the voters in a state intend to vote for a certain candidate. what is the probability that a survey polling 5 people reveals that at most 2 voters support the candidate.

0.31744

Step-by-step explanation:

Binomial probability distribution formula :-

, where P(x) is the probability of getting success in x trials, n is total number of trials and p is the probability of getting succes in each trial.

Given : The probability that the voters in a state intend to vote for a certain candidate:  

Now, the probability that a survey polling 5 people reveals that at most 2 voters support the candidate will be :-

Hence, the probability that a survey polling 5 people reveals that at most 2 voters support the candidate = 0.31744

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x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)