Typically, they can. Muting a person is about controlling the noise they make in your feed, like not getting their post notifications. But it doesn't restrict their access to your stories. Instagram, for example, keeps the two features - muting and story viewing - separate. So if you mute someone on Instagram, they can still view your stories just like any other follower who hasn't been muted or blocked.
Yes, muting someone usually only affects whether you receive notifications from them or see their posts in your feed. It doesn't prevent them from seeing your story.
Yes, they can. Muting someone usually just stops you from seeing their notifications or interacting with them directly, but it doesn't prevent them from viewing your story.
It depends on the platform or app you're using. Some might have notifications or indicators for when someone's stories are muted by you, but others might not.
No, they can't. When you mute someone's story on most social media platforms, it's a private action on your end. The person whose story you muted won't receive any notification or indication that you've muted their story. It's just a way for you to control what content you see without the other person being aware of it.