Question

*6.2.54 Question Help According to a standard normal table, the area under the standard normal curve to the left of 0.39 is 0.6517. Without consulting a standard normal table or using technology, determine the area under the standard normal curve to the left of -0.39. The area to the left of z= -0.39 is (Type an integer or a decimal.)

Answer 1

According to a standard normal table, the area under the standard normal curve to the left of 0.39 is 0.6517.

$\therefore$ Given, P(Z < 0.39) = 0.6517

To determine the area under the standard normal curve to the left of -0.39 i.e to find P(Z < -0.39)

P(Z < -0.39) = 1 - P(Z > -0.39)

                     = 1 - P(Z < 0.39) .............($\because$ P(Z < a) = P(Z > -a) )

                     = 1 - 0.6517

                     = 0.3483

$\therefore$ The area to the left of z = -0.39 is 0.3483