Write the m.g.f. of a r.v. X taking on values -4, 0 and 4 with respective probabilities 0.3, 0.4, and 0.3. 0.3 e4 +0.4. e² + 0.3. e4 0.3 e 4 +0.4+ 0.3. e4% 1+0.3 ez + 0.3 · e-4z O 0.3 e4z +0.4 e² + 0.3 e -4% .

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.EA: Extended Application Medical Diagnosis
Problem 2EA
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Write the m.g.f. of a r.v. X taking on values -4, 0 and 4 with respective probabilities 0.3, 0.4, and
0.3.
0.3 e4 +0.4 • e² + 0.3
-4z
0.3 e +0.4+ 0.3. e4z
1+0.3. e4z
+0.3 · e-4z
e4
0.3 ez +0.4 e² + 0.3. e4z
Transcribed Image Text:Write the m.g.f. of a r.v. X taking on values -4, 0 and 4 with respective probabilities 0.3, 0.4, and 0.3. 0.3 e4 +0.4 • e² + 0.3 -4z 0.3 e +0.4+ 0.3. e4z 1+0.3. e4z +0.3 · e-4z e4 0.3 ez +0.4 e² + 0.3. e4z
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