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var AWS = require("aws-sdk");
 
exports.handler = function(event, context) {
    var cloudwatchevents = new AWS.CloudWatchEvents();
    var intervals = Array(3, 5, 7);
    var nextInterval = intervals[Math.floor(Math.random()*intervals.length)];
    var currentTime = new Date().getTime(); // UTC Time
    var nextTime = dateAdd(currentTime, "minute", nextInterval);
    var nextMinutes = nextTime.getMinutes();
    var nextHours = nextTime.getHours();
     
    //  =================================
    //  DO YOUR WORK HERE
    //  =================================
     
    var scheduleExpression = "cron(" + nextMinutes + " " + nextHours + " * * ? *)";
    var params = {
        Name: "Your CloudWatch Rule Name",
        ScheduleExpression: scheduleExpression
    };
    cloudwatchevents.putRule(params, function(err, data) {
        if (err) {
            console.log(err, err.stack);  
        }
        else {
            console.log(data);
        }
    })
};
 
var dateAdd = function(date, interval, units) {
    var ret = new Date(date); // don't change original date
    switch(interval.toLowerCase()) {
        case 'year'   :  ret.setFullYear(ret.getFullYear() + units);  break;
        case 'quarter':  ret.setMonth(ret.getMonth() + 3*units);  break;
        case 'month'  :  ret.setMonth(ret.getMonth() + units);  break;
        case 'week'   :  ret.setDate(ret.getDate() + 7*units);  break;
        case 'day'    :  ret.setDate(ret.getDate() + units);  break;
        case 'hour'   :  ret.setTime(ret.getTime() + units*3600000);  break;
        case 'minute' :  ret.setTime(ret.getTime() + units*60000);  break;
        case 'second' :  ret.setTime(ret.getTime() + units*1000);  break;
        default       :  ret = undefined;  break;
    }
    return ret;
}

{
    "Version": "2012-10-17",
    "Statement": [
        {
            "Effect": "Allow",
            "Action": [
                "events:PutRule"
            ],
            "Resource": [
                "*"
            ]
        }
    ]
}