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## On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 483 pounds and a standard deviation of 70 pou

Question

On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 483 pounds and a standard deviation of 70 pounds. The cow transport truck holds 5 cows and can hold a maximum weight of 2840. If 5 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 2840

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Mathematics
3 years
2021-09-04T10:19:11+00:00
2021-09-04T10:19:11+00:00 1 Answers
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## Answers ( )

Answer: 0.0033Step-by-step explanation:Let x be a random variable that denotes the weights of cows.

Given:

maximum weight can be hold= 2840 pounds.

Mean weight = = 568 pounds

The probability their total weight will be over the maximum allowed of 2840

=

Hence, the required probability = 0.0033