document.write( "Question 478052: An agency monitors the speed with which it repairs badly damaged communities. Suppose past data indicates the likelihood is 0.75 that repairs in a similar community can be resolved in the same day . For the first five reports given on a day , what is the probability that (1)Exactly three report will be resolved on the same day. (2)No report will be resolved on the same day (3)all reports will be reolved on the same day (4)what is the expected amount of repairs to be resolved. \n" ); document.write( "
Algebra.Com's Answer #327570 by stanbon(75887)\"\" \"About 
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An agency monitors the speed with which it repairs badly damaged communities. Suppose past data indicates the likelihood is 0.75 that repairs in a similar community can be resolved in the same day . For the first five reports given on a day , what is the probability that
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\n" ); document.write( "Binomial Problem with n = 5 and p = 0.75
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\n" ); document.write( "(1)Exactly three report will be resolved on the same day.
\n" ); document.write( "Ans: 5C3*0.75^3*0.25^2 = 0.2637
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\n" ); document.write( "\n" ); document.write( "(2)No report will be resolved on the same day
\n" ); document.write( "Ans: 0.25^5
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\n" ); document.write( "\n" ); document.write( "(3)all reports will be resolved on the same day
\n" ); document.write( "Ans: 0.75 ^5 = 0.2373
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\n" ); document.write( "\n" ); document.write( "(4)what is the expected amount of repairs to be resolved.
\n" ); document.write( "E(x) = np = 5*0.75 = 15/4 = 3.75
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\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
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