Question

Find the probability that at least
5 defective bolts will be found
in a box of 200 bolts. If it
i known 2%. of such bolts are
defective given e^-4=0.0183)​

Answer 1

probability that at least 5 defective bolts will be  found = 0.291  in a box of 200 bolts. If it is known 2%. of such bolts are  defective

Step-by-step explanation:

2%. of such bolts are defective

p = 0.02

1-p =  1- 0.02 = 0.98

Total Bolts = 200

Mean = np = 200*0.2  = 4

Standard  deviation = √np(1-p)

= √4 *0.98

= 1.98

Z =  (value - Mean)/SD

Z = ( 5 - 4)/1.98

Z = 0.505

70.88 %

probability that at least

5 defective bolts will be found = 100 - 70.88 %    = 29.12 %

probability that at least 5 defective bolts will be found = 0.291

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