How to bind date parameter

public static void AddNew(string stu_name, string address, string Phone, datetime date)
        {
       String sql = "Select I_Student_ID.NEXTVAL from dual;
       Int newStudent_ID = 0;
  OracleDatabase db = (OracleDatabase)DatabaseFactory.CreateDatabase("PHTS");
    using (System.Data.Common.DbCommand cmd = db.GetSqlStringCommand(sql))
            {
                newStudent_ID = Convert.ToInt32(db.ExecuteScalar(cmd));
            }
     
        OracleDatabase db = (OracleDatabase)DatabaseFactory.CreateDatabase("PHTS");
 
 using (System.Data.Common.DbCommand cmd = db.GetStoredProcCommand("AddNewStudent"))
            {
                db.AddInParameter(cmd, "I_Student_ID",DbType.Int32,newStudent_ID);
                db.AddInParameter(cmd, "I_STU_Name", DbType.String,stu_name);
                db.AddInParameter(cmd, "I_Address", DbType.String,address);
                db.AddInParameter(cmd, "I_Phone", DbType.String,Phone);
                db.AddInParameter(cmd, "I_Date", DbType.date,date);
 
               db.ExecuteNonQuery(cmd);
 
            }
 
        }
    }

Create or replace PRPCEDURE AddNewStudent (
I_STU_ID    Number,    
I_STU_Name  Varchar2,
I_Address  Varchar2,
I_Phone  Varchar2,
I_Date   date,
)
As
Begin
Insert into I_Student
(
Student_ID, STU_Name, Address, Phone, Date
)
Values
(
I_Student_ID, I_STU_Name, I_Address, I_phone, I_Date
);

The stored Procedure is working fine in oracle. I am getting error mismatch datatype for the date. How can I bind the date datatype in my parameter. 

private void savebutton_Click(object sender, EventArgs e)
        {
            string student = this.STU_NameTextBox.Text;
            string address = this.addressTextBox.Text;
            string phone = this.phoneTextBox.Text;
            string date = DateTime.Parse(this.DatetextBox.Text).ToString("MM/dd/yyyy");
         
            AddNew(STU_Name, address, Phone,date);