A certain rare blood type can be found in only 0.05% of people If the population of a Pandomly selected group is 3000, what is the probabilit that at least two persons in the group have this rare blood type?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Did I do this correctly? Also my professor usually wants the exact value instead of decimal points, how can I simplify it with keep the e constant, so it doesn't turn into a long decimal?

A certain rare blood type can be found in only 0.05% of people.
If the population of a randomly selected group is 3000, what is the probabiltig
that at least two persons in the group have this rare blood type?
-2
P(N(E)=i) = C²²₂²
where 2 €3,000) (0.0005) = 1.5
C!
1-(PCX ≤ 2)) P(X<2) = P(X=0) + PCX = 1) + PCX=2)
=
e²1.5 40
O!
-1.5₁
= e
+
€¹.5 1.5¹
-1.5
e
16
+
-1.5
³+ 1.5 €7.5 + e
te
-1.5, 1.125
-1.5 1.52
2!
2
= 2.5€ ¹.5 +0.25102143
e
-0.80884683/
1-0.80884683/
= 0·19/153/69
Transcribed Image Text:A certain rare blood type can be found in only 0.05% of people. If the population of a randomly selected group is 3000, what is the probabiltig that at least two persons in the group have this rare blood type? -2 P(N(E)=i) = C²²₂² where 2 €3,000) (0.0005) = 1.5 C! 1-(PCX ≤ 2)) P(X<2) = P(X=0) + PCX = 1) + PCX=2) = e²1.5 40 O! -1.5₁ = e + €¹.5 1.5¹ -1.5 e 16 + -1.5 ³+ 1.5 €7.5 + e te -1.5, 1.125 -1.5 1.52 2! 2 = 2.5€ ¹.5 +0.25102143 e -0.80884683/ 1-0.80884683/ = 0·19/153/69
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