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Unformatted text preview: In a box of floppy discs, it is known that 80% will work. A sample of 10 of the discs is selected at random. 1. What is (i) sample space and (i) n? (i) X={0,1,2,3,4,5,6,7,8,9,10} (ii) n=10 2. What is and (1 ) ? π π = π 0.8= probability that the disc will work 1 = π 0.2= 3. Can you explain the shape of Histogram on the basis of the given information? It is left skewed as > 0.5 π 4. Give the expected value and standard deviation of the number of discs that work. Expected value= n = π 10(0.8)= 10*0.8= Standard deviation= (n (1 ))^(1/2)= π π (10(0.8)(0.2))^(1/2)= sqrt(10*0.8* 5. What is the difference between BINOMDIST(x, n, , 0) and BINOMDIST(x, n, , 1)? π π Without calculation, what is BINOMDIST(n, n, , 1)? π BINOMDIST(x, n, , 0) = P(X=x); BINOMDIST(x, n, , 1) = P(X<=x) π π BINOMDIST(n, n, , 1)=1 π 6. What is the probability that 3 of the sample will work? P(X=3)= BINOMDIST(3,10,0.8,0)= BINOMDIST(3,10,0.2,0)= 0.2 8. What is the probability that more than 7 of the sample will work? P(X=8)+P(X=9)+P(X=10)= 1P(X<=7)= 1BINOMDIST(7,10,0.8 9. What is the probability that less than 7 of the sample will work?...
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This note was uploaded on 07/01/2011 for the course ECO 370 taught by Professor Camp during the Spring '11 term at Indiana State University .
 Spring '11
 Camp
 Economics

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