SOLUTION: suppose a mathematician has a 9/10 probability of answering any math questions correctly. What is the probability that he answers exactly 3 out of 5 math questions correctly a.

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Question 596421: suppose a mathematician has a 9/10 probability of answering any math questions correctly. What is the probability that he answers exactly 3 out of 5 math questions correctly
a. 0.0081
b. 0.0729
c. 0.54
d. 0.328
find the geometric means in the following sequence.
48, ?,?,?,?, -25815552
a. -13440,-20160,-26880,-33600
b. -672,9408,-131712,1843968,
c. 672,9408,131712,1843968,
d. 9408,-131712,1843968,-25815567

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
suppose a mathematician has a 9/10 probability of answering any math questions correctly. What is the probability that he answers exactly 3 out of 5 math questions correctly
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Binomial Problem with n = 5 and p(correct) = 0.9
P(x = 3) = 5C3*0.9^3*0.1^2 = binompdf(5,0.9,3) = 0.0729
b. 0.0729
====================================================
find the geometric means in the following sequence.
48, ?,?,?,?, -25815552
----
a = 48
ar^5 = 48r^5 = -25815552
r^5 = -537824
r = -14
----
a = 48
ar = 48*-14 = -672
ar^2 = 9408
ar^3 = -131712
ar^4 = 1843968
ar^5 = -25815552
=========================
Cheers,
Stan H.
=========================
d. 9408,-131712,1843968,-25815567

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