99735 00026469 b is less than 9 p x 9 binomdis

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Unformatted text preview: Z = (20.5 ­11)/3.13 = 3.03 p(Z<3.03) = 0.9987 used normsdist p(Z>3.03) = 1 ­0.9987 = 0.0012 b) Z = (8.5 ­11)/3.13 =  ­0.799 p(Z< ­0.799) = 0.212 used normsdist Alternative solution Each selection of item is a Bernoulli trial with the probability of success (selecting a defective item) of 0.11 100 ȹ n ȹ P( x > 20) = ∑ ȹ ȹ ⋅ P x ⋅ (1 − P) n− x ȹ ȹ n =21 ȹ x Ⱥ Conducting this long calculation is tedious. However, we can use programs such as excel as discussed in class as follows P (x≤20)=BINOM.DIST(20,100,0.11,TRUE)= 0.99735 P( x > 20) = 1 − 0.99735 =0.0026469 b) is less than 9? P( x < 9) = BINOM.DIS (8,100,0.11, TRUE ) =0.21651 3) 28 points A manufacturer of camping gear wishes to buy rivets whose breaking strength must exceed 5000psi. Manufacturer Rosie Riveter (RR) produces rivets with a mean breaking strength of...
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