Respuesta :
The probabilities greatest for a standard normal distribution is
P(-0.5 SZ30.5) i.e. 38.2%
What is a standard normal Distribution ?
A special normal distribution where the mean is 0 and the standard deviation is 1. It is also called the z-distribution .
For the data given in the question
P(-1.5 575-0.5)
P(-0.5 SZ30.5)
P(0.5 5731.5)
P(1.5 523 2.5)
[tex]P_{r} (-1.5 \leq z \leq 0.5) = 0.092 +0.15=0.242\\\\P_{r} (-0.5 \leq z \leq 0.5)= 0.191+0.191= 0.382\\\\P_{r} (0.5 \leq z \leq 1.5)= 0.15+0.092=0.242\\P_{r} (1.5 \leq z \leq 2.5)= 0.044+0.017=0.061[/tex]
From the given data the second data is the highest 0.382 , so the correct answer is P(-0.5 SZ30.5).
To know more about standard normal Distribution
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