Question

Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round your answers to two decimal places.) (a) 61st (b) 39th (c) 75th (d) 25th

Answer 1

Solution :

Using standard normal table ,

(a)

P(Z < 0.28) = 0.61

61st percentile = 0.28

(b)

P(Z < -0.28) = 0.39

39th percentile = -0.28

(c)

P(Z < 0.67) = 0.75

75th percentile = 0.67

(d)

P(Z < -0.67) = 0.25

25th percentile = -0.67

(e)

P(Z < -1.41) = 0.08

8th percentile = -1.41