**Simple Question**. (Spiderman Question lol)

[queen meteor]

Hey guy's I'm not very good at binomial distribution and I was wondering if you could check what I've done here. (I was verifying the statement made in Spiderman: Into the Spider Verse, by Miles' teacher about if a person was blindfolded and they were to choose true or false randomly out of a 100 questions, then they would get 50% answers correct, hence it is mathematically impossible to get 0 unless you know all the answers to the questions. Can someone check my steps?

[prisma solstice]

All your steps are correct, but it would be good to state why you were able to calculate the Z-score (used for normal distributions) even though the random variable is a binomial distribution