Please use the following distribution table to get the answer! 5.In a certain Asian country, the...

5:

Let X shows the man weight and Y shows the woman weight. Here we have

1:

Let T= X+Y

Here T will have normal distribution with mean

and standard deviation

The z-score for T = 100 is

The required probability is

P(T > 100) = P(z > -1.27) = 1 - P(z <= -1.27) = 1- 0.102 = 0.8980

(2)

Let D =X-Y

Here D will have normal distribution with mean

and standard deviation

The z-score for D = 0 is

The required probability is

P(D < 0) = P(z < -0.85) = 0.1977

(3)

Let W =(3X /4)-Y

Here W will have normal distribution with mean

and standard deviation

The z-score for W = 0 is

The required probability is