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Sagot :
89% of pebbles weigh more than 2.1 grams.
What is a percentage?
- Percentage, a relative value indicating hundredth parts of any quantity.
- One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.
Given,
Mean = 2.6
SD = 0.4
As we have to find the percentage of pebbles weighing more than 2.1, we have to find the z-score for 2.1 first.
[tex]z = \frac{x- mean}{SD}[/tex]
[tex]z = \frac{2.1 - 2.6}{0.4}[/tex]
[tex]z = -1.25[/tex]
Now we have to use the z-score table to find the percentage of pebbles weighing less than 2.1
So,
[tex]P ( x < 1.25 ) = 0.10565[/tex]
This gives us the probability of P(z<-1.25) or P(x<2.1)
To find the probability of pebbles weighing more than 2.1
[tex]P ( x > 2.1 ) = 1 - P( x < 2.1 ) = 1 - 0.10565 = 0.89435[/tex]
Converting into percentage
0.89435 × 100 = 89.435 %
Rounding off to nearest percent =89%
Therefore, 89% of pebbles weigh more than 2.1 grams.
Learn more about percent
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