Question

For a standard normal distribution, find P(Z < 0.78) and express the probability as a decimal rounded to four decimal places.

Answer 1

Find P(Z < 0.78) by looking it up in the z-table or using a calculator's invNorm function, which will provide the area under the standard normal curve to the left of Z=0.78 as a decimal.

Step-by-step explanation:

To calculate P(Z < 0.78) for a standard normal distribution, we need to find the area under the normal curve to the left of Z=0.78. The z-table or a calculator with statistical functions can be used to find this probability. Using the information provided for a different scenario, where an area of 0.9 to the left of a z-score, the z-table indicates a z-score of approximately 1.28. To find our probability, we would look up 0.78 in the z-table or use a calculator command such as invNorm(0.78,0,1) to obtain the exact area. The result will give us the probability expressed as a decimal.