There are Grade 12 questions, please apply the binomial distribution, geometric distribution or hyper geometric distribution
1. In a multiple choice quiz, there are 6 questions. Each question has 5 possible answers. A student guesses at each question.Find the probability that the student gets 4 answers correct.
b. Find the probability that the student passes(i.e. gets at least 50%)
c. What is the student's expected number of correct answers?
2. There are six cats and seven dogs in the local animal shelter. Four animals are chosen at random to visit a local school to educate the children on the great need for homes for these animals.
a. What is the probability that exactly two of the animals are cats?
b. What is the probability that at least one cat is chosen?