5.The probability that Prasha will score above a 90 on a mathematics test is4/5. What is the probability that she will score above a 90 on exactly 3 of the 4 tests this quarter?

6.A company manufacturing laptops believes that 5% of their computers are faulty. They take a sample of 30 computers. Showing your calculations, find the probability that;

a.Two of the laptops are faulty.

b.More than two of the laptops are faulty.

7.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?

8.A certain hockey player scores on 18% of his shots.

a. What is the probability he will score for the first time on his fifth shot?

b. What is the probability that it will take him fewer than 3 shots to score?

c.How many shots should he expect to take before scoring?

9.In a multiple choice quiz, there are 6 questions. Each question has 5 possible answers. A student guesses at each question.

a. 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?