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College probability topic!
1. Solution: If you notice a large number of products in the title, you will take a few products at a time.

The probability of a product can be regarded as a constant, that is, p (defective product) = 10%=0. 1.

The probability of getting qualified products every time is p (qualified) = 1-0. 1=0.9.

The probability of this batch of products passing the first inspection, that is, 10 pieces are all qualified, and the probability is

P 1=(P (qualified)) 10 = 0.9 10 = 0.349.

A: The probability of this batch of products passing the first inspection is 0.349.

2. Solution: The probability of secondary inspection is 1 or 2, and the probability is.

p2 = c( 10 1)0.9^9*0. 1+c( 10 2)*0.9^8*0. 1? =0.58

A: The probability of the second test is 0.58.

3. Solution: The product is accepted according to the probability of the second inspection, that is, all the products are qualified after five times, then

P3=0.9^5=0.59

A: According to the second inspection, the probability of the product being accepted is 0.59.

4. Solution: This batch of products failed to make a decision in the first inspection, and the probability of passing the second inspection is

P4=P2*P3=0.58*0.59=0.34

A: It's 0.34.

5. Solution: The probability of this batch of products being accepted is divided by the probability of being accepted for the first time, that is, P 1 plus the probability of being accepted for the second time.

The probability of being admitted is P4, and the probability of being admitted is

P5=P 1+P4=0.349+0.34=0.69

A: The probability that this batch of products will be accepted is 0.69.

(Note: It refers to motivation.

For example, 2 3 is the cube of 2, and x n is the n power of x)