In: Statistics and Probability
Find the value of z so that the area under the standard normal curve from 0 to z is 0.4904 and z is negative.
solution:
the given area from 0 to z = 0.4904
it is also given that the value of z is negative so, the value of z falls to the left side of the distribution
we know that the area to the left of 0 = 0.5 in the normal distribution.
so area to the left of z = 0.5 - 0.4904 = 0.0096
so, value of z with 0.0096 area to the left from the z table = -2.34
the table from which we have find the z score is below: