You're viewing 1 free preview question for Maths AI SL — subscribe to unlock 78 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade

Probability Distributions · Paper 2 — Free Maths AI SL Practice Questions

1MasterySAQ-SBinomial distribution and its properties6 marksPaper 2~9 min
A factory produces electronic components. The probability that a randomly selected component is defective is 0.040.04. A quality control inspector selects a random sample of 1515 components. Let XX be the number of defective components in the sample.
(a)
State one condition required for XX to be modelled by a binomial distribution, and explain why this condition is reasonable in this context. [2 marks]
(b)
Given that X∼B(15, 0.04)X \sim B(15,\, 0.04), calculate P(X=2)P(X = 2). [2 marks]
(c)
Given that least one component in the sample is defective, find the probability that least three components are defective. [2 marks]
diagram

Solutions

Questions 2-79

Unlock these questions with Premium

Sign Up →

That's every free question here — 1 of 79.

+78 more questions, plus Mock Papers & Worksheets, are waiting in Premium.

Upgrade