Final answer:
To find the probability P(z≤ 1.93), look it up in a z-table or use a statistical calculator to determine the area to the left of z=1.93, and then round the result to the nearest ten-thousandth.
Step-by-step explanation:
To determine the probability indicated for the standard normal variable P(z≤ 1.93), you would look up the corresponding value in a standard normal distribution table or use a statistical calculator. In most z-tables, the area to the left of the z-value is given, which represents the probability that the standard normal variable is less than or equal to that z-value. In this case, if you look up 1.93 in a standard normal distribution table, it should give you the area to the left of z. If you're using a calculator, the command invNorm(0.975,0,1) helps find a z-score where the area to the left is 0.975; you would adapt this to find the score for 0.975 corresponding to z=1.93. It's also possible to use technology such as the TI-83, 83+, or 84+ calculators. In any case, after finding the area, if the table or calculator doesn't provide the exact value, you could round it off to the nearest ten-thousandth, which in your answer would be four decimal places.