Consider the probability that less than 17 out of 160 people will get the flu this winter. Assume the probability that a given person will get the flu this winter is 14%. Approximate the probability using the normal distribution. Round your answer to four decimal places.

0.1094

Step-by-step explanation:

Given that we are considering less than 17 out of n= 160, so the required probability is:

P(X< 17)

The probability, p, that a person get the flu is 14%

p = 0.14, q =1 - 0.14 = 0.86

We deduce the mean number of people and the standard deviation using

U = np = 160 × 0.14 = 22.4

Sd =√npq =√ 160 × 0.14 × 0.86

= 4.389

Therefore Probability for less than 17 is given by:

P(X< 17) = P(Z< X-U/sd)

P(X< 17) = P(Z<17-22.3/4.389)

= P(Z< -1.23)

= 0.10935

0.1094

Since we are approximating the distribution to normal distribution

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

$452.90 because you needed to round to the nearest cent