Respuesta :
Answer:
The probability that a product is defective is 0.2733.
Step-by-step explanation:
A product consists of 3 parts. If any one of the part is defective the whole product is considered as defective.
The probability of the 3 parts being defective are:
P (Part 1 is defective) = 0.05
P (part 2 is defective) = 0.10 P (part 3 is defective) = 0.15
Compute the probability that a product is defective as follows:
P (Defective product) = 1 - P (non-defective product)
= 1 - P (None of the 3 parts are defective)
= 1 - P (Part 1 not defective) × P (Part 2 not defective) × P (Part 1 not defective)
[tex]=1-[(1-0.05)\times(1-0.10)\times (1-0.15)]\\=1-[0.95\times0.90\times0.85]\\=1-0.72675\\=0.27325\\\approx0.2733[/tex]
Thus, the probability that a product is defective is 0.2733.
Answer: Probability of defective product is 0.00075.
Step-by-step explanation:
Since we have given that
Probability of getting defective in part one = 5%
Probability of getting defective in part two = 10%
Probability of getting defective in part three = 15%
Since they are independent of each other.
So, Probability of a defective product is given by
[tex]P(One)\times P(Two)\times P(Three)\\\\=0.05\times 0.10\times 0.15\\\\=0.00075[/tex]
Hence, Probability of defective product is 0.00075.
