Question

2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re-worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the (approximate) probability that X is a) At most 30? [2] b) Between 15 and 25 (both inclusive)? [2] c) Assume that the probability of at most x shafts being nonconforming is 0.9906. Find x. [3]

          2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re-worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the (approximate) probability that X is
a) At most 30? [2]
b) Between 15 and 25 (both inclusive)? [2]
c) Assume that the probability of at most x shafts being nonconforming is 0.9906. Find x. [3]

2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re-worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the (approximate) probability that X is
a) At most 30? [2]
b) Between 15 and 25 (both inclusive)? [2]
c) Assume that the probability of at most x shafts being nonconforming is 0.9906. Find x. [3]

Added by Matthew R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

03/09/2023

Step 1

We are given that 10% of all steel shafts produced are nonconforming but can be reworked. So, the probability of a single shaft being nonconforming is p = 0.10. Show more…

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Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re-worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the (approximate) probability that X is a) At most 30? [2] b) Between 15 and 25 (both inclusive)? [2] c) Assume that the probability of at most x shafts being nonconforming is 0.9906. Find x. [3]