Question

can someone kinda explain the process during part b)

μ NPC-lation mean 7. F ts with a certain disegse of certain with a mean o 199 and a shagdard deviation d4 the amount of certain protein in the blood is normally distributed with a mean oirz0 and a standard deviationFor patients without the disease the amount of that protein is normally deviations a) Where would you want the test positive is.0025 Tested Positive" to start so that the probability of a person with the disease will not M: 170 M: 190 .0)s -9975 5 S1.65 oas b) Determine the probability of a falsg positive. 901.y 26.5%

Answer 1

false positive - a test result which wrongly indicates that a particular condition or attribute is present.

a)
P(X < x) = 0.0025

P(Z < z) = 0.0025
z = -2.807

x = 170 - 2.807 * 5
= 155.965

b)

P(Y > 155.965 | N(190,4^2)
= P(Z >(155.965 - 190)/4)
= P(Z > -8.50875 )
= 1