Men in a certain area have an average weight of 162 pounds with a standard deviation of 34 pounds. (a) Find the probability that 20 randomly selected men will have a sum weight greater than 3400 lbs. (Round your answer to four decimal places.) 0.1087 X (b) If 20 men have a sum weight greater than 3300 lbs, then their total weight exceeds the safety limits for water tax Based on (a), is this a safety concern? Explain. O Because the probability in part (a) is so large as to be almost certain, it would be wise to be cautious. O Because the probability in part (a) is so low as to be almost impossible, there is no need to be cautious. O Because the probability in part (a) is large, there is no need to be cautious. While the probability in part (a) is not exceptionally large, because there is greater than a 1 in 10 chance of the weight exceeding safety limits, it would be wise to be cautious.

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Men in a certain area have an average weight of 162 pounds with a standard deviation of 34 pounds.
(a) Find the probability that 20 randomly selected men will have a sum weight greater than 3400 lbs. (Round your
answer to four decimal places.)
0.1087
X
(b) If 20 men have a sum weight greater than 3300 lbs, then their total weight exceeds the safety limits for water taxis.
Based on (a), is this a safety concern? Explain.
O Because the probability in part (a) is so large as to be almost certain, it would be wise to be cautious.
O Because the probability in part (a) is so low as to be almost impossible, there is no need to be cautious.
O Because the probability in part (a) is large, there is no need to be cautious.
While the probability in part (a) is not exceptionally large, because there is greater than a 1 in 10 chance of the
weight exceeding safety limits, it would be wise to be cautious.
Transcribed Image Text:Men in a certain area have an average weight of 162 pounds with a standard deviation of 34 pounds. (a) Find the probability that 20 randomly selected men will have a sum weight greater than 3400 lbs. (Round your answer to four decimal places.) 0.1087 X (b) If 20 men have a sum weight greater than 3300 lbs, then their total weight exceeds the safety limits for water taxis. Based on (a), is this a safety concern? Explain. O Because the probability in part (a) is so large as to be almost certain, it would be wise to be cautious. O Because the probability in part (a) is so low as to be almost impossible, there is no need to be cautious. O Because the probability in part (a) is large, there is no need to be cautious. While the probability in part (a) is not exceptionally large, because there is greater than a 1 in 10 chance of the weight exceeding safety limits, it would be wise to be cautious.
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