I need to figure out how or where to find the standard deviation and mean for this problem Given that z is a standard normal random variable, compute the following probabilities. a. P(z≤−1.0) b. P(z≥−1) c. P(z≥−1.5) d. P(−2.5≤z) e. P(−3

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I need to figure out how or where to find the standard deviation and mean for this problem Given that z is a standard normal random variable, compute the following probabilities.  a. P(z≤−1.0)  b. P(z≥−1)  c. P(z≥−1.5)  d. P(−2.5≤z)  e. P(−3

iluvyou23452nwj · Accepted Answer

a. P(z≤−1.0)  Using the z - score table, that gives the probabilities to the left side of the z score:  P ( z ≤−1.0) = 0.1587  b. P(z≥−1)  1 - P ( z ≤−1.0) = 1 - 0.1587 = 0.8413  c. P(z≥−1.5)  1 - P(z≤−1.5) = 1 -0.0668 = 0.9332  d. P(−2.5≤z)  P (z ≥ -2.5)  1 - P (z ≤-2.5) = 1 - 0.0062 = 0.9938  e. P(−3&amp;lt;z≤0)  P ( z≤0 ) = 0.5  P ( z &amp;gt; -3 ) = 1 - P ( z ≤ -3 ) = 1 - 0.0013 = 0.9987  P ( z ≤ 0 ) -P (z &amp;lt; -3) = 0.5 - 0.0013 = 0.4987

I need to figure out how or where to find

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