1. According to recent report on the CBC 40% of people over the age of 60 have likely had COVID. That puts me in the minority. If you randomly selected 600 people over the age of 60, what is the probability that fewer than 250 have had COVID?

2. According to the results of a survey done on all students at Brock 78% of students were in favour of a fall reading week. If you randomly select 9 of those people, what is the probability that exactly 6 were in favour of a fall reading week?

3. It has been estimated that 65% of students are now attending all of their classes in person. If you randomly select 6 students, what is the probability that at least one is attending all of their classes in person?

4. A deck of cards has 52 cards. These are split evenly into 4 suits (spades and clubs that are black, and hearts and diamonds that are red) and there are 13 cards in each suit. You select one card, record what suit it is and then replace it back in deck and shuffle the deck before selecting the next card. If you select 7 cards in this manner what is the probability that more than 5 will be Spades?

please solve by using binomial distribution in a clear format. I would prefer if you were able to write it out to help me understand better.