Question 1094175
<br>Since the distribution is continuous and symmetric about 0, P(x<=-3) = 0.2 means P(x>=3) = 0.2 also.  That makes answer (d) false.  It also means P(-3<=x<=3) = (1-0.2-0.2) = 0.6.  So answer (b) is a true statement.<br>
Answer (a) says P(x<=-4) is less than 0.2.  If P(x<=-3) is equal to 0.2 and the distribution is continuous, the P(x<=-4) must be less than 0.2.  So (a) is a true statement.<br>
By similar reasoning, statement (c) is not true; if P(x<=-3) = 0.2 and the distribution is continuous, then p(x<=-2) must be greater than 0.2.