Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
the test to detect the presence of a liver disorder is 98% accurate for a person who has the disease and 97% accurate for a person who does not have the disease.
if 3.5% of the people in a given population actually have the disorder, the probability that a randomly chosen person gets an incorrect diagnosis is
.

The probability that a randomly chosen person gets an incorrect diagnosis is 2.965% = 0.02965.

Step-by-step explanation:

Given, The test to detect the presence of a liver disorder is 98% accurate for a person who has the disease.

so, probability of incorrect diagnosis = 100-98 = 2% = 0.02.

and 97% accurate for a person who does not have the disease.

so, probability of incorrect diagnosis = 100-97 = 3% = 0.03.

And 3.5% of the people in a given population actually have the disorder.

⇒ the probability that a randomly chosen person gets an incorrect diagnosis is        (3.5% × 0.02) + (96.5% × 0.03) = 2.965% = 0.02965.

0.02965

Step-by-step explanation:

correct on Plato

just get this app called photo math it should be able to do those

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.