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borishaifa [10]
3 years ago
5

(B^2)(B^4) Answer choices B^8 B^6 B^2 2b^6

Mathematics
1 answer:
ruslelena [56]3 years ago
6 0

Answer:

Step-by-step explanation:

(B^2)(B^4) = B^(2+4)= B^6

answer is B

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a) P(X < 99) = 0.2033.

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Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

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This is the pvalue of Z when X = 99. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{99 - 100}{1.2}

Z = -0.83

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P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

Z = \frac{X - \mu}{s}

Z = \frac{100 - 100}{1.2}

Z = 0

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X = 98

Z = \frac{X - \mu}{s}

Z = \frac{98 - 100}{1.2}

Z = -1.67

Z = -1.67 has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

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