GabrienD272327 GabrienD272327
  • 26-10-2022
  • Mathematics
contestada

Suppose that a random variable Z has a standard normal distribution. Find a such that P(Z > a) = 0.204. Give your answer totwo decimal places. ?

Respuesta :

NakylahK564964 NakylahK564964
  • 26-10-2022

Answer:

0.83

Explanation:

Since the probability P(Z > a) = 0.204< 0.5, 'a' must be lying on the right of zero. Draw the graph.

Find P(0 < Z < a).

[tex]\begin{gathered} P(0a) \\ =0.5-0.204 \\ =0.296 \end{gathered}[/tex]

Find 'a' from the standard normal table.

From the table, P(0 < Z < 0.83) = 0.2967. Thus, 'a' approximately equals 0.83.

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