The distribution of weight of a small watermelon is known to have a mean of 5 pounds and a standard deviation of 1.2 pounds. Six small watermelons fit in a crate, and the crate weighs exactly 1 pound. Assuming the weights of small watermelons are independent, what is the standard deviation of the total weight of a random sample of 6 small watermelons and the crate? (A) √62(1.2)² (B) 1+ √√62(1.2)² (C) 1+62(1.2)2 (D) 6(1.2)² (E) 1+ √6(1.2)²

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The distribution of weight of a small watermelon is known to have a mean of 5 pounds and a standard deviation
of 1.2 pounds. Six small watermelons fit in a crate, and the crate weighs exactly 1 pound.
Assuming the weights of small watermelons are independent, what is the standard deviation of the total weight of a
random sample of 6 small watermelons and the crate?
(A) √62(1.2)²
(B) 1+ √√62(1.2)²
(C) 1+62(1.2)2
(D)
6(1.2)²
(E) 1+ √6(1.2)²
Transcribed Image Text:The distribution of weight of a small watermelon is known to have a mean of 5 pounds and a standard deviation of 1.2 pounds. Six small watermelons fit in a crate, and the crate weighs exactly 1 pound. Assuming the weights of small watermelons are independent, what is the standard deviation of the total weight of a random sample of 6 small watermelons and the crate? (A) √62(1.2)² (B) 1+ √√62(1.2)² (C) 1+62(1.2)2 (D) 6(1.2)² (E) 1+ √6(1.2)²
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