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A graduate attends a job fair and submits his resume to company A, company B and company C, assuming the probability that the graduate is interviewed by company A.. ...
If X is the number of companies interviewed by the graduate, the possible values of X are 0, 1, 2,3, ∫P(X = 0)= 0.
1 12
,∴
13
( 1? p)2 =
1 12
,∴p=
12
,p(x = 1)= 0
23
×
12
×
12
+
13
×
12
×
12
+
13
×
12
×
12
=
4 12
p(X = 2)= 1
23
×
12
×
12
+
23
×
12
×
12
+
13
×
12
×
12
=
5 12
,p(x=3)= 1-
1 12
4 12
5 12
=
2 12
,∴EX= 1×
4 12
+2×
5 12
+3×
2 12
=
53
So the answer is: 53.
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