[填空题]
The table below shows the distribution xq8a./dwtx y7+it)y,qnagqe , * i.ntn 69nnz of the number oo)fv8n3voan( w met*(f fish caught during a fishing contest by 100 contestanowft8anonm *ve(() v3ts.
1. Calculate
(1) the mean number of fish caught by a contestant;≈
(2) the standard deviation. ≈
2. Find the median number of fish caught in the contest.
3. Find the interquartile range.
4. Determine if a contestant who caught 10 fish would be considered an outlier.
One of the contestants is chosen at random.(a,b) a= b=
5. Find the probability that this chosen contestant caught 6 fish or more.
A second contestant is randomly chosen.
6. Given that the first contestant caught 6 fish or more, find the probability that each of these two contestants caught exactly 7 fish.
The cost of the fishing equipment used by the 100 contestants is normally distributed with a mean of 1200 US Dollars (USD) and a standard deviation of 300 USD. ≈
7. (1) Calculate the probability that a contestant chosen at random spent at least 1000 USD for fishing equipment. ≈
(2) Calculate the expected number of contestants that spent at least 1000 USD on fishing equipment.
