6.7
Proof
We have:
a.
b.
Check the probability:
So yes at least 90% of surgeons would be able to use it since of all surgeons surveyed have enough grip strength.
You can also say that since then so then 90% of male surgeons have a grip strength greater than .
c. Do a similar process:
d. We want to calculate for the female surgeons and compare to :
Thus this value exceeds the average for the male grip strength.
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6.19
Proof
We have and .
a.
b.
c.
d.
First let's find the probability . Having this, we are asking for the probability:
We also could've used a Binomial Experiment with and as described above, with to get .
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