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Reika [66]
4 years ago
11

a) The average height of sunflowers in a field is 64 inches with a standard deviation of 3.5 inches. Describe a normal curve for

the distribution, including the values on the horizontal axis at one, two, and three standard deviations from the mean. b) If there are 3,000 plants in the field, approximately how many will be taller than 71 inches?
Mathematics
1 answer:
tresset_1 [31]4 years ago
8 0
The values on the horizontal axis are:
at 0 = 64
at one standard deviation (lower, upper) = (60.5 , 67.5)
at two standard deviation (lower, upper) = (57 , 71)
at three standard deviation (lower, upper) = (53.5 , 74,5)

B. P(x > 71) = 1 - P(x < 71) = 1 - P[z < (71 - 64)/3.5] = 1 - P(z < 2) = 1 - 0.97725 = 0.02275
Therefore the no of plants taller than 71 inches will be approximately 0.02275 * 3000 = 68

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Answer:

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BabaBlast [244]

Answer:

a) 0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.

b) 0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons

Step-by-step explanation:

We use Venn's Equations for probabilities.

I am going to say that:

P(A) is the probability that a randomly selected person will feel guilty about wasting food.

P(B) is the probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

0.12 probability that a randomly selected person will feel guilty for both of these reasons.

This means that P(A \cap B) = 0.12

0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

This means that P(B) = 0.27

0.39 probability that a randomly selected person will feel guilty about wasting food

This means that P(A) = 0.39

a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.39 + 0.27 - 0.12 = 0.54

0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.

b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

p = 1 - P(A \cup B) = 1 - 0.54 = 0.46

0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons

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Answer:

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-4(y) (-4)(-2) = 12

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It is a negative correlation.

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