Solusi - Probabilitas kumulatif dalam distribusi normal standar

Cumulative probability

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1. Find the cumulative probability of the z-scores values up to $- 15$

More than $99, 9 %$ of the time, data with a standard normal distribution lies within plus or minus $3, 9$ standard deviations of the mean.

The cumulative probability of the values up to $- 15$ is $0$ .
$p (a < - 15) = 0$
The cumulative probability that $a < - 15$ is $0 %$

2. Find the cumulative probability of the z-scores values up to $- 15.1$

Más del $99, 9 %$ del tiempo, los datos con una distribución normal estándar se encuentran dentro de más o menos $3, 9$ desviaciones estándar de la media.

La probabilidad acumulativa de los valores hasta $- 15, 1$ es $0$ .
$p (a < - 15, 1) = 0$
La probabilidad acumulativa de que $a < - 15, 1$ sea $0 %$

3. Calculate the cumulative probability between -15 and -15.1

To find the cumulative probability of the area between the two z-scores, subtract the smaller cumulative probability (everything to the left of $- 15, 1$ ) from the larger cumulative probability (everything to the left of $- 15$ ):

$0 - 0 = 0$
$p (- 15, 1 < a < - 15) = 0$
The cumulative probability that $- 15, 1 < a < - 15$ is $0 %$

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Normal and standard normal distributions

Solusi - Probabilitas kumulatif dalam distribusi normal standar

Penjelasan langkah demi langkah

1. Find the cumulative probability of the z-scores values up to −15

2. Find the cumulative probability of the z-scores values up to −15.1

3. Calculate the cumulative probability between -15 and -15.1

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1. Find the cumulative probability of the z-scores values up to $- 15$

2. Find the cumulative probability of the z-scores values up to $- 15.1$