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Ответ:

annethelusma25

21.11.2020

Mathematics

The value is $P(X \le 60 ) = 0.00135$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 90 \ minutes$

The standard deviation is $\sigma = 10$

Generally 1 hours = 60 minutes

Generally the probability that the exam will be completed in one hour or less is

$P(X \le 60 ) = 1 - P(X 60 )$

Here

$P(X 60 ) = P( \frac{ X - \mu }{ \sigma } \frac{ 60 - 90 }{ 10 } )$

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

P(X 60 ) = P( Z -3 )

From the z -distribution table the probability of ( Z> -3 )

P( Z -3 ) = 0.99865

P(X 60 ) = 0.99865

=> $P(X \le 60 ) = 1 - 0.99865$

=> $P(X \le 60 ) = 0.00135$

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What is... 1 + 1? this is for easy points Whoever answers first gets brainliest!