Which is equivalent to P(z ≥ 1.4)?

Mathematics

2 answers:

ohaa [14]3 years ago

4 0

Answer:

1st: B

2nd: 8%

3rd: 26%

Step-by-step explanation:

doing the assignment ;)

Bad White [126]3 years ago

3 0

Answer:

1-P(z less than or equal to 1.4)

Step-by-step explanation:

To know what sentence is equivalent to the expression P(z ≥ 1.4), we just need to know the translation of the symbol '≥'

This symbol means that the expression in the left side is greater than or equal to the expression in the right side, so we can translate this symbol as 'greater than or equal to'.

As P means a probability, we can also shift the symbol from 'greater than or equal to' to 'less than or equal to' if we make 1 minus the probability, so the expression P(z ≥ 1.4) is equivalent to 1 - P(z ≤ 1.4), and this second expression can be translated as 1-P(z less than or equal to 1.4)

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Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house

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Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

Normal Probability Distribution

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

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

It 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, which is the percentile of X.
By the Central Limit Theorem, for n instances of a normal variable, the mean is $n\mu$ while the standard deviation is $s = \sigma\sqrt{n}$ .

In this problem:

Mean of 4 candies, hence $\mu = 4$ .
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