Everyone loves this new app TikTok! Everyone from parents to kids are using it. What's even better about this app, is that we can use it for a probability question in our class!

Let's say that each TikTok video has an entertain level aspect to it. The level of entertainment of any given TikTok has a mean of 0 () 0.639 and a population variance of 0.025 (^2).

It is important to note that these values are normally distributed. So X N(, 2 ).

Answer the following questions:

(a) If a user watches 25 TikToks a night (n=25), the probability that he is happy is p=0.9. If X represents the number of videos the user is happy with a night, state the ditstrubution of X and calculate P(X

(b) Y represents the average entertainment level of the n=25 videos (mean). Find P(0.6 Y