function randomERProblem(form) {
 	var theP1 = Math.round(Math.random()*6+2); 
 	var theP2 = Math.round(Math.random()*6+2);
 	var theP3 = Math.round(Math.random()*(17-theP1-theP2)+1); 
 	var theP4 = 20 - theP1 - theP2 - theP3;
 	var theP1 = Math.round(theP1*5);
 	var theP2 = Math.round(theP2*5);
 	var theP3 = Math.round(theP3*5);
 	var theP4 = Math.round(theP4*5);
 	var theR1 = Math.round(Math.random()*80-30);
 	var theR2 = Math.round(Math.random()*80-30);
 	var theR3 = Math.round(Math.random()*80-30);
 	var theR4 = Math.round(Math.random()*80-30);
 	if ((theR1 < 0) && (theR2 < 0) && (theR3 < 0) && (theR4 < 0)) {
 		theR2 = Math.round(theR2*(-1));
 		theR4 = Math.round(theR4*(-1));
 	} 
 	form.p1.value="" + theP1;
 	form.p2.value="" + theP2;
 	form.p3.value="" + theP3;
 	form.p4.value="" + theP4;
 	form.r1.value="" + theR1;
 	form.r2.value="" + theR2;
 	form.r3.value="" + theR3;
 	form.r4.value="" + theR4;
 	form.er.value="";
 	form.va.value="";
 	form.sd.value="";
 }
 
 function findER(form) {
 	var theP1Str = form.p1.value;
 	if (!isPositiveNumber(theP1Str)) {
 		return false;
 	}
 	var theP2Str = form.p2.value;
 	if (!isPositiveNumber(theP2Str)) {
 		return false;
 	}
 	var theP3Str = form.p3.value;
 	if (!isPositiveNumber(theP3Str)) {
 		return false;
 	}
 	var theP4Str = form.p4.value;
 	if (!isPositiveNumber(theP4Str)) {
 		return false;
 	}
 	var theR1Str = form.r1.value;
 	if (!isNumber(theR1Str)) {
 		return false;
 	}
 	var theR2Str = form.r2.value;
 	if (!isNumber(theR2Str)) {
 		return false;
 	}
 	var theR3Str = form.r3.value;
 	if (!isNumber(theR3Str)) {
 		return false;
 	}
 	var theR4Str = form.r4.value;
 	if (!isNumber(theR4Str)) {
 		return false;
 	}
 	var theP1 = parseFloat(theP1Str);
 	var theP2 = parseFloat(theP2Str);
 	var theP3 = parseFloat(theP3Str);
 	var theP4 = parseFloat(theP4Str);
 	var theR1 = parseFloat(theR1Str);
 	var theR2 = parseFloat(theR2Str);
 	var theR3 = parseFloat(theR3Str);
 	var theR4 = parseFloat(theR4Str);
 	if ((theP1 + theP2 + theP3 + theP4) != 100) {
 		alert("The sum of the probabilities must equal 100\%");
 		return true;
 	}
 	var theER = (theP1*theR1 + theP2*theR2 + theP3*theR3 + theP4*theR4)/100;
 	var theVAR = (theP1/100)*((theR1/100)-(theER/100))*((theR1/100)-(theER/100));
 	theVAR += (theP2/100)*((theR2/100)-(theER/100))*((theR2/100)-(theER/100));
 	theVAR += (theP3/100)*((theR3/100)-(theER/100))*((theR3/100)-(theER/100));
 	theVAR += (theP4/100)*((theR4/100)-(theER/100))*((theR4/100)-(theER/100));
 	var theSD = Math.sqrt(theVAR);
 	form.er.value = "" + Math.round(theER*100)/100;
 	form.va.value = "" + Math.round(theVAR*10000)/10000;
 	form.sd.value = "" + Math.round(theSD*10000)/100;
 	return true;
 }
 
 function helpER(form) {
 	var theP1Str = form.p1.value;
 	if (!isPositiveNumber(theP1Str)) {
 		return false;
 	}
 	var theP2Str = form.p2.value;
 	if (!isPositiveNumber(theP2Str)) {
 		return false;
 	}
 	var theP3Str = form.p3.value;
 	if (!isPositiveNumber(theP3Str)) {
 		return false;
 	}
 	var theP4Str = form.p4.value;
 	if (!isPositiveNumber(theP4Str)) {
 		return false;
 	}
 	var theR1Str = form.r1.value;
 	if (!isNumber(theR1Str)) {
 		return false;
 	}
 	var theR2Str = form.r2.value;
 	if (!isNumber(theR2Str)) {
 		return false;
 	}
 	var theR3Str = form.r3.value;
 	if (!isNumber(theR3Str)) {
 		return false;
 	}
 	var theR4Str = form.r4.value;
 	if (!isNumber(theR4Str)) {
 		return false;
 	}
 	var theP1 = parseFloat(theP1Str);
 	var theP2 = parseFloat(theP2Str);
 	var theP3 = parseFloat(theP3Str);
 	var theP4 = parseFloat(theP4Str);
 	var theR1 = parseFloat(theR1Str);
 	var theR2 = parseFloat(theR2Str);
 	var theR3 = parseFloat(theR3Str);
 	var theR4 = parseFloat(theR4Str);
 	if ((theP1 + theP2 + theP3 + theP4) != 100) {
 		alert("The sum of the probabilities must equal 100\%");
 		return true;
 	}
 	var theER = (theP1*theR1 + theP2*theR2 + theP3*theR3 + theP4*theR4)/100;
 	var theVAR = (theP1/100)*((theR1/100)-(theER/100))*((theR1/100)-(theER/100));
 	theVAR += (theP2/100)*((theR2/100)-(theER/100))*((theR2/100)-(theER/100));
 	theVAR += (theP3/100)*((theR3/100)-(theER/100))*((theR3/100)-(theER/100));
 	theVAR += (theP4/100)*((theR4/100)-(theER/100))*((theR4/100)-(theER/100));
 	var theSD = Math.sqrt(theVAR);
 	theVAR = "" + Math.round(theVAR*10000)/10000;
 	var theSDDec = "" + Math.round(theSD*10000)/10000;
 	theSD = "" + Math.round(theSD*10000)/100;
 	theER = "" + Math.round(theER*100)/100;
 	var theOut = "<html><head><title>Measures of Risk Help</title></head><body bgcolor='white'>";
 	theOut += "<h3>Measures of Risk Help</h3>";
 	theOut += "<p>The Expected Return can be calculated as follows:</p>";
 	theOut += "<p>E[R] = (" +  Math.round(theP1)/100 + ")(" + Math.round(theR1*100)/100 + "\%) + ";
 	theOut += "(" +  Math.round(theP2)/100 + ")(" + Math.round(theR2*100)/100 + "\%) + ";
 	theOut += "(" +  Math.round(theP3)/100 + ")(" + Math.round(theR3*100)/100 + "\%) + ";
 	theOut += "(" +  Math.round(theP4)/100 + ")(" + Math.round(theR4*100)/100 + "\%) = " + theER + "\%</p>";
 	theOut += "<p><b>The Expected Return = " + theER + "\%</b></p>";
 	theOut += "<p>The Variance can be calculated as follows:</p>";
 	theOut += "<p>Variance = (" +  Math.round(theP1)/100 + ")(" + Math.round(theR1)/100 + " - " + Math.round(theER)/100 + ")<sup>2</sup> + ";
 	theOut += "(" +  Math.round(theP2)/100 + ")(" + Math.round(theR2)/100 + " - " + Math.round(theER)/100 + ")<sup>2</sup> + ";
 	theOut += "(" +  Math.round(theP3)/100 + ")(" + Math.round(theR3)/100 + " - " + Math.round(theER)/100 + ")<sup>2</sup> + ";
 	theOut += "(" +  Math.round(theP4)/100 + ")(" + Math.round(theR4)/100 + " - " + Math.round(theER)/100 + ")<sup>2</sup> = " + theVAR;
 	theOut += "<p><b>The Variance = " + theVAR + "</b></p>";
 	theOut += "<p>The Standard Deviation equals the square root of the variance:</p>";
 	theOut += "<p><b>The Standard Deviation = " + theSDDec + " = " + theSD + "\%</b></p>";
 	theOut += "<CENTER>";
	theOut += "<P><FORM NAME=\"Form1\">";
	theOut += "<INPUT TYPE=\"button\" VALUE=\"   OK   \" onClick=\"window.close();\"></FORM></P></CENTER>";
 	theOut += "</body></html>";
 	var newWin = window.open("","","scrollbars,resizable,width=540,height=340");
 	if (newWin != null) {
 		newWin.document.write(theOut);
 		newWin.document.close();
 		newWin.focus();
 	}
 	return true;
 }
 
 function isPositiveNumber(inputStr) {
 	for (var i = 0; i < inputStr.length; i++) {
 		var oneChar = inputStr.substring(i,i+1);
 		if (((oneChar >= "0") && (oneChar <= "9")) || (oneChar == ".")) {
 		
 		} else {
 			alert("Please make sure that only numbers are input.");
 			return false;
 		} 
 	}
	return true;
 }
 
 function isNumber(inputStr) {
 	var oneChar = inputStr.substring(0,1);
 	if (!((oneChar == '-') || ((oneChar >= "0") && (oneChar <= "9")) || (oneChar == "."))) {
 		alert("Please make sure that only numbers are input.");
 		return false;
 	}
 	for (var i = 1; i < inputStr.length; i++) {
 		oneChar = inputStr.substring(i,i+1);
 		if (((oneChar >= "0") && (oneChar <= "9")) || (oneChar == ".")) {
 		
 		} else {
 			alert("Please make sure that only numbers are input.");
 			return false;
 		} 
 	}
	return true;
 }