Q2(8). Suppose the height of new born girl baby follows a normal distribution with mean height of 50cm, standard deviation of 3cm.

1(4). Find the probability that one randomly selected new born girl baby's height is less than 45cm.

2(4). For two independently selected new born girl babies. Find the probability that both height is less than 45cm.

Q5(9). Calculate the following probabilities.

1(2). (0,1),(>1.54)ZN(0,1),P(Z>1.54).

2(4). (2,42),(0.41.6)XN(2,42),P(0.4X1.6).

3(3). (3,72),(<1.54)XN(3,72),P(X<1.54).