Assignment Submissiorn For thia assignment, you submit answers by questions. You

Question

Assignment Submissiorn For thia assignment, you submit answers by questions. You aro required to use a new randomization afher every 1 quetion submissions Assignment Scoring Your best submission for eawch endire question is used for your soos A company produces shotgun shells in batches places.) of 500. A sample of 10 is tested from each batch, and if more than one defect is found, the entire batch is tested. (Round your answers to five decimal (a) If 1% of the shels are actually defective, what is the probabity of O defect ve shells in the sample? (b) If 1% of the shells are actually defective, what is the probablity of 1 defective shet in th·sample? (c) I, 1% of the shells are actually defective, what is the probability of more than 1 defective shea n the sample? Need Help? Submit Arawer Save Progress MacBook Air 30 888F esc 4

Explanation / Answer

X ~ binomial (n,p)

Where n = 10 , p = 0.01

Binomial probability distribution is

P( X ) = nCx px (1-p)n-x

a)

P( X = 0) = 10C0 0.010 0.9910

= 0.90438

b)

P( X = 1) = 10C1 0.011 0.999

= 0.09135

c)

P( X > 1) = 1 - P( X <= 1)

= 1 - { P( x = 0) + P( X = 1) }

= 1 - ( 0.90438 + 0.09135)

= 0.00427

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