In a batch of 40 shafts, there are 4 shafts that do not meet the length specific
ID: 3306667 • Letter: I
Question
In a batch of 40 shafts, there are 4 shafts that do not meet the length specifications. A sample of 4 shafts are selected at random (without replacement) and inspected.
What is the probability that there are at least two shafts in the sample that do not meet the length specifications?
QUESTION 19 In a batch of 40 shafts, there are 4 shafts that do not meet the length specifications. A sample of 4 shafts are selected at random (without replacement) and inspected What is the probability that there are at least two shafts in the sample that do not meet the length specifications?( Report answer to three decimal places. Answer must be within +- 0.001 of correct value.)Explanation / Answer
Probability that shaft does not meet as length specifications = 4/40 = 0.10
Use Excel function
1-BINOM.DIST(1,4,0.10,TRUE)
= 0.0523
So, the probability that there are at least two shafts in the sample that do not meet the length specifications = 0.0523