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Mathematics

1 answer:

Cloud [144]3 years ago

4 0

Answer:

Part A:

3: 5

4: 9

5: 13

6: 17

7: 21

8: 25

9: 29

Part B:

The age, in months is your x and weight is your y. Just graph it normally how you would. First coordinate being (3,5) then (4,9).

Part C:

Cant insert a graph to this. Try looking up a linear graph to reference.

Part D:

10: 33

11: 37

12 (one year): 41

Step-by-step explanation:

For part A and D, just keep adding 4 to the pounds.

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Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are

Sergeu [11.5K]

Answer:

D. 0.9938.

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.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .