Mounting an NFS share on Red Hat Enterprise Linux 7 results in error "mount(2): No such device"

Issue

• Mounting with mount.nfs results in error 'No such device':

mount -vvv hostname:/share /mnt
mount.nfs: timeout set for Tue Oct 14 11:46:54 2014
mount.nfs: trying text-based options 'vers=4,addr=192.168.122.143,clientaddr=192.168.122.129'
mount.nfs: mount(2): No such device
mount.nfs: No such device

• Loading the nfs module with modprobe produces no output and appears to do nothing:

# modprobe -v nfs
# lsmod | grep nfs
<nothing>