Answer and Step-by-step explanation:
Solution:
Given:
Let A is the event of a person over 50 diagnosed by health service.
B1 is the event that an adult over 50 actually has diabetes.
B2 is the event that an adult over 50 does not have diabetes.
P (B1) = 8% = 0.08
And P (B2) = 1 – P (B1)
= 1 – 0.08
= 0.92
Correctly diagnose of all persons with diabetes= 95%
P (A/B1) = 0.95
Incorrectly diagnose of all persons without diabetes= 2%
P (A/B2) = 0.02
(a) ) the community health service will diagnose an adult over 50 as having diabetes.
P (B1) P (A/B1) = (0.08) (0.95) = 0.076
P (B2) p (A/B2) = (0.92) (0.02) =0.0184
P (B1) P (A/B1) + P (B2) p (A/B2) = 0.076 + 0.0184
= 0.0944
(b) A person over 50 diagnosed by the health service as having diabetes actually has the disease.
By using formula:
P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)
Put all the given values:
= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)
=0.076 / 0.076 + 0.0184
=0.076 / 0.0944
= 0.8050
Answer:
Index fossil, any animal or plant preserved in the rock record of the Earth that is characteristic of a particular span of geologic time or environment. A useful index fossil must be distinctive or easily recognizable, abundant, and have a wide geographic distribution and a short range through time.
Step-by-step explanation:
Answer:
$1654.20
Step-by-step explanation:
There are 12 months in a year. There are 36 months in 3 years. If he gets charged $45.95 each month for 3 years or 36 months, he pays:
$45.95×36=
$1654.20 for three years.
Answer: 21
Step-by-step explanation:
Given : Lindsay and Lorraine are trying to match the jump rope world record.
Number of jumps they need to jump together in a row = 48
Lindsay has gotten 14 jumps in a row, and Lorraine has gotten 13.
Total jumps = 14+13=27
Let 'j' be the number of more jumps they need to match the record.
j= Total jumps needed - Total jumps they already gotten
⇒ j= 48-27
⇒ j= 21
Hence, they need 21 more jumps to match the record.
(4x-5)+(2x-3)
4x+2x= 6x
-5+-3= -8
6x-8
