15. Biologists are analyzing soil to check for the number of worms and grubs in a wildlife preserve. Let the random variable W represent the number of worms found in 1 square foot of soil, and let the random variable G represent the number of grubs found in 1 square foot of soil. The following tables show the probability distributions developed by the biologists for W and G. W Probability G 0 = 5 and a = 1.67 0.05 1 0.06 2 1 0.18 3 2 0.35 4 0.30 5 4 0 3 5 Probability 0.05 0.21 0.27 0.38 0.05 0.03 0.01 Assume that the distributions of worms and grubs are independent. What are the mean, #, and standard deviation, o, for the total number of worms and grubs in 1 square foot of soil? 0.05 6 0.01 6

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15.
Biologists are analyzing soil to check for the number of worms and grubs in a wildlife preserve. Let the random variable W
represent the number of worms found in 1 square foot of soil, and let the random variable G represent the number of grubs
found in 1 square foot of soil. The following tables show the probability distributions developed by the biologists for W and
G.
W
Probability
G
0
0.05
B) = 5 and o= 2.36
0
= 5.28 and = 1.67
(D) μ = 5.28 and a = 2.36
1
E μ = 5.28 and = 2.79
0.06
2
0.18
1
3
2
4
Probability
0.05
0.21
0.27
0.38
0.05
0.03
0.01
Assume that the distributions of worms and grubs are independent. What are the mean, #, and standard deviation, σ, for the
total number of worms and grubs in I square foot of soil?
A = 5 and o=1.67
0.35
4
0.30
3
5
0.05
6
5
0.01
6
Transcribed Image Text:15. Biologists are analyzing soil to check for the number of worms and grubs in a wildlife preserve. Let the random variable W represent the number of worms found in 1 square foot of soil, and let the random variable G represent the number of grubs found in 1 square foot of soil. The following tables show the probability distributions developed by the biologists for W and G. W Probability G 0 0.05 B) = 5 and o= 2.36 0 = 5.28 and = 1.67 (D) μ = 5.28 and a = 2.36 1 E μ = 5.28 and = 2.79 0.06 2 0.18 1 3 2 4 Probability 0.05 0.21 0.27 0.38 0.05 0.03 0.01 Assume that the distributions of worms and grubs are independent. What are the mean, #, and standard deviation, σ, for the total number of worms and grubs in I square foot of soil? A = 5 and o=1.67 0.35 4 0.30 3 5 0.05 6 5 0.01 6
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