Question

Sketch a region corresponding to the statement: P(z < -0.8)

Enter an interval corresponding to the region to be shaded=

Sketch the region to corresponding to the statement: P(z > c) =0.05

Enter an interval corresponding to the region to be shaded

Answer 1

To sketch the region corresponding to a probability statement involving the standard normal distribution, plot the standard normal distribution curve and shade the appropriate area to the left or right of a given value. Use a calculator or z-tables to find the corresponding Z-score for a given probability.

Step-by-step explanation:

To sketch the region corresponding to the statement P(z < -0.8), we need to plot the standard normal distribution curve and shade the area to the left of -0.8. The standard normal distribution has a mean of 0 and a standard deviation of 1. We can use a calculator or z-tables to find the corresponding area. For P(z < -0.8), the shaded region is from negative infinity to -0.8.

To sketch the region corresponding to the statement P(z > c) = 0.05, we need to plot the standard normal distribution curve and shade the area to the right of c. We can use a calculator or z-tables to find the corresponding Z-score for a given probability. For P(z > c) = 0.05, the shaded region is from c to positive infinity.