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Binomial Theorem · Paper 2 — Free Maths AI SL Practice Questions
1MasterySAQ-SBinomial expansion and coefficients6 marksPaper 2~9 min
A company produces electronic chips. The probability that a randomly selected chip is defective is 0.15. The company packs chips in boxes of 8. Let X be the number of defective chips in a randomly selected box.
(a)
State the probability distribution of X, including the values of all parameters. [1 mark]
(b)
Calculate the probability that a box contains exactly 3 defective chips. [2 marks]
(c)
The company considers a box "acceptable" if it contains at most 2 defective chips. Calculate the probability that a box is acceptable, and determine whether it is more likely than not that two independently selected boxes are both acceptable. [3 marks]