P (Z ¡Ü -.64)
To find the probability that a standard normal random variable Z is less than or equal to -0.64, you can use a normal distribution table or a statistical calculator.
If you have access to a normal distribution table, you need to locate the value -0.64 in the table. The table will give you the cumulative probability associated with that Z-score. The cumulative probability is the probability that the Z-score is less than or equal to a given value.
If you are using a statistical calculator, you can use the cumulative distribution function (CDF) for the standard normal distribution. The CDF will give you the probability that a standard normal random variable is less than or equal to a given value. In this case, you would input -0.64 into the CDF function and it will give you the probability.
The probability P(Z ≤ -0.64) represents the area under the standard normal curve to the left of -0.64. This area represents the probability that a standard normal random variable is less than or equal to -0.64.
Therefore, to find the value of P(Z ≤ -0.64), you need to use a normal distribution table or a statistical calculator.