document.write( "Question 847552: Mark Wright can hit the bull's eye with his 22 rifle 30% of the time. He fires 5 shots.\r
\n" ); document.write( "\n" ); document.write( "a. calculate his probabilities of making 0, 1, 2, 3, 4, and 5 bull's-eyes\r
\n" ); document.write( "\n" ); document.write( "b. Plot the graph of this probability distribution\r
\n" ); document.write( "\n" ); document.write( "c. Calculate the probability that he will make at least 2 bull's-eyes.
\n" ); document.write( "

Algebra.Com's Answer #510539 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "Note: The probability of x successes in n trials is:
\n" ); document.write( "P = nCx* \"p%5Ex%2Aq%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively.
\n" ); document.write( "In this case p = .30 and q = .70 and n = 5
\n" ); document.write( "\"+nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29\"
\n" ); document.write( "Using the 'formula' is the 0r
\n" ); document.write( "Using TI Calculator
\n" ); document.write( "a. binompdf(5,.30, 0) = .1681 0r P = (.30)^0(.70)^5
\n" ); document.write( " binompdf(5,.30, 1) = .3602 0r P = 5(.30)^1(.70)^4
\n" ); document.write( "binompdf(5,.30, 2) = .3087 0r P = 10(.30)^2(.70)^3
\n" ); document.write( "binompdf(5,.30,3) = .1323 0r P = 10(.30)^3(.70)^2
\n" ); document.write( "binompdf(5,.30, 4) = .0284 0r P = 5(.30)^4(.70)^1
\n" ); document.write( "binompdf(5,.30, 5) = .0024 0r P = (.30)^5(.70)^0
\n" ); document.write( "c. P(x≥ 2) = 1 - P(x=0)- P(x=1) = 1 - .1681 - .3602
\n" ); document.write( "0r Using TI
\n" ); document.write( "1 – binomcdf(n, p, largest x-value) = 1 - binomcdf(5,.30, 1) \n" ); document.write( "
\n" );