Question

Below is a graph of a normal distribution with mean -4 and standard deviation o 3. The shaded region represents the probability of obtaining a value from this distribution that is less than 5.5. 0.4 0.3 0.2 0.1- - 5.5 -4 Shade the corresponding region under the standard normal density curve below 0.4 ? 0.3 0.2 0.1

Answer 1

Solution :

P(x < -5.5) = P[(x - $\mu$ ) / $\sigma$ < (-5.5 + 4) / 3]

= P(z < -0.5)

= 0.3085

0.121 0.17 0.08 0.06 0.04 0.02 ot - 1050 Mean: -4 P(x = -5.5 Std. Dev.: 3 ) - 0.30853754