Medicine. A laboratory technician is to be tested on identifying blood types from 8 standard classifications. (A) If 3 distinct samples are chosen at random from the 8 types and if the technician is not allowed to repeat any answers, what is the probability that all 3 could be correctly identified by just guessing? (B) If repeats are allowed in the 3 blood types chosen at random from the 8 and if the technician is allowed to repeat answers, what is the probability that all 3 are identified correctly by just guessing?
Medicine. A laboratory technician is to be tested on identifying blood types from 8 standard classifications. (A) If 3 distinct samples are chosen at random from the 8 types and if the technician is not allowed to repeat any answers, what is the probability that all 3 could be correctly identified by just guessing? (B) If repeats are allowed in the 3 blood types chosen at random from the 8 and if the technician is allowed to repeat answers, what is the probability that all 3 are identified correctly by just guessing?
Solution Summary: The author calculates the probability that all 3 samples of blood types chosen from 8 could be correctly identified by guessing, if the technician is not allowed to repeat the answers.
Medicine. A laboratory technician is to be tested on identifying blood types from
8
standard classifications.
(A) If
3
distinct samples are chosen at random from the
8
types and if the technician is not allowed to repeat any answers, what is the probability that all
3
could be correctly identified by just guessing?
(B) If repeats are allowed in the
3
blood types chosen at random from the
8
and if the technician is allowed to repeat answers, what is the probability that all
3
are identified correctly by just guessing?
1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
3. Let
f(z) =
sin (22) + cos (T2)
2(22+1)(z+1)
Compute f(z)dz over each of the contours/closed curves C1, C2, C3 and C4 shown
below.
Don't use any Al tool
Don't send the same
previous answer that
was Al generated
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show ur answer
pe
n and paper then take
Send ur answer in pe
n and paper don't rep
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PLEASE SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE OR CHATGPT
SOLVE BY HAND STEP BY STEP
4.- A beer at an unknown temperature is introduced into a refrigerator that has a constant temperature of 1°C. After 20 minutes, the temperature of the beer is 10°C, and after 40 minutes, the temperature of the beer is 6°C.
a) Determine the temperature at which the beer was placed inside the refrigerator.b) How long will it take for the beer to reach 2°C?
Chapter 8 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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