Problem 7-32 An engineer has designed a modified welding robot. The robot will be considered good enough to manufacture if it misses only 1% of its assigned welds. And it will be judged a poor performer if it misses 5% of its welds. (In-between possibilities are not considered.) A test is performed involving 100 welds. The new design will be accepted if the number of missed welds R is 2 or fewer and rejected otherwise.(a) What is the probability that a good design will be rejected?
Probability=
(b) What is the probability that a poor design will be accepted?
Probability=

a. p= 0.0794 or 7.94%

b. p= 0.1183 or 11.83%

Step-by-step explanation:

a. This is binomial probability function expressed as:

where:

The probability of good design being rejected is equal to 1 minus a good design being accepted.

#Given p=0.01, n=100  this probability is calculated as:

Hence, the probability that a good structure is 0.0794 or 7.94%

b. The probability that a bad design is accepted is equivalent to the probability that at least two bad designs are accepted.

Given that p=0.05, n=100 and the x=0,1,2... the probability is:

Hence, the probability of a bad design being accepted is 0.1183 or 11.83%

i believe the answer is d.

hope it you! : d

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.