(CO 3) Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has found that 89.4% of all their rugby balls have the correct shape. If exactly 7 of the 10 have the right shape, should the company stop the production line? No, as the probability of seven having the correct shape is unusual Yes, as the probability of seven having the correct shape is unusual Yes, as the probability of seven having the correct shape is not unusual No, as the probability of seven having the correct shape is not unusual

Question

17-06-2020
Mathematics

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(CO 3) Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has found that 89.4% of all their rugby balls have the correct shape. If exactly 7 of the 10 have the right shape, should the company stop the production line? No, as the probability of seven having the correct shape is unusual Yes, as the probability of seven having the correct shape is unusual Yes, as the probability of seven having the correct shape is not unusual No, as the probability of seven having the correct shape is not unusual

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Favouredlyf Favouredlyf · Answer 1 · 2020-06-18T02:52:11+02:00

Answer:

Step-by-step explanation:

This is a binomial probability distribution and the probability of success and value is the same for each trial.

Over time, the company has found that 89.4% of all their rugby balls have the correct shape. It means that the probability of success is

89.4/100 = 0.894

If exactly 7 of the 10 have the right shape, should the company stop the production line, it means that the probability of getting right shaped tires in this case is 7/10 = 0.7

This is actually below the known probability of success. Therefore, the correct option is

Yes, as the probability of seven having the correct shape is unusual