The probability that a person with certain symptoms has hepatitis is 0.75. the blood test used to confirm this diagnosis gives positive results for 86? % of people with the disease and 5? % of those without the disease. what is the probability that an individual who has the symptoms and who reacts positively to the test actually has? hepatitis?

0.981

Step-by-step explanation:

We have to find the probability that an individual who has the symptoms and who reacts positively to the test has hepatitis

Let be the event that denotes the symptoms has hepatitis and denotes the symptoms have not hepatitis

Let A be the event the denotes the blood test result positive  

We have to find the value of

We have

Using formula

Substitute the values in the given formula

Then,we get

Hence, the probability that an individual who has the symptoms and who reacts positively to the test actually has hepatitis =0.981

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm