ASP.NET MVC : Make days of the week into checkboxes

I'm new to .Net MVC and I just have a question regarding checkboxes. I want to make a checkbox list for the days of the week (Mon, Tue, etc) but I'm not really sure how to implement it.

Model:

using System;
using System.Collections.Generic;
using System.ComponentModel.DataAnnotations.Schema;
using System.ComponentModel.DataAnnotations;
using System.Linq;
using System.Web;

namespace Features.Models
{
    [Table("Volunteer")]
    public class Volunteer
    {
        [Key]
        public int VolunteerId { get; set; }

        [Display(Name = "Days of Availability")]
        public bool DaysAvailable { get; set; }
    }
}

Controller:

[HttpGet]
    public ActionResult Add()
    {
        try
        {
            ViewBag.Departments = db.Departments.ToList(); 
            return View();
        }
        catch (Exception genericException) 
        {
            ViewBag.ExceptionMessage = genericException.Message;
        }
        return View("~/Views/Errors/Details.cshtml");
    }

    [HttpPost]
    [ValidateAntiForgeryToken]
    public ActionResult Add(Volunteer volunteer)
    {
        try
        {
            if (ModelState.IsValid)
            {
                db.Volunteers.Add(volunteer);
                db.SaveChanges();
                return RedirectToAction("Index");
            }
            ViewBag.Departments = db.Departments.ToList();
            return View(volunteer);
        }
        catch (DbUpdateException DbException)
        {
            ViewBag.DbExceptionMessage = DbException.Message;
        }
        catch (Exception genericException)
        {
            ViewBag.ExceptionMessage = genericException;
        }
        return View("~/Views/Errors/Details.cshtml");
    }

View:

@model Assign1.Models.Volunteer
@{
    ViewBag.Title = "Add";
    Layout = "~/Views/Shared/_Layout.cshtml";
}

<h2>Add a volunteer</h2>

@using (Html.BeginForm("Add", "Volunteer"))
{
    @Html.AntiForgeryToken()

    <div>
    <div>@Html.LabelFor(v => v.DaysAvailable):

        @Html.CheckBoxFor(v => v.DaysAvailable, new { name = "Monday"})
        @Html.CheckBoxFor(v => v.DaysAvailable, new { name = "Tuesday" })
        @Html.CheckBoxFor(v => v.DaysAvailable, new { name = "Wednesday" })
        @Html.CheckBoxFor(v => v.DaysAvailable, new { name = "Thursday" })
        @Html.CheckBoxFor(v => v.DaysAvailable, new { name = "Friday" })
        @Html.CheckBoxFor(v => v.DaysAvailable, new { name = "Saturday" })
        @Html.CheckBoxFor(v => v.DaysAvailable, new { name = "Sunday" })

    </div>
</div>

For the views model, it doesn't show anything but the checkboxes (no words, just plain checkboxes).

Should I make a table from the database that holds the values for the days of the week? I'm not really sure what to do and I'm really lost.