Can somebody do the rest of the letters of this for me the first ones i got are AEIF

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Ответ:

rafigm8780

08.11.2021

Mathematics

The value is P(A) = 0.133617

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

P(7.2 < X < 7.8 ) = P(-1.5 < Z

=> P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

P(Z < 1.5) = 0.93319

and

P(Z < -1.5) = 0.066807

P(7.2 < X < 7.8 ) =0.93319 - 0.066807

P(7.2 < X < 7.8 ) =0.0866383

P(A) = 1 - 0.0866383

=> P(A) = 0.133617

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