Ihave 2 questions.
1)of the 100 students enrolled at the dance studio, 50 take ballet and 24 take
tap dancing. eight of the students who take ballet also take tap dancing. if
a student at the studio is chosen at random, find the probability that they take ballet, if it is known that they do not take tap dancing.

2)a shape is randomly selected from the following quadrilaterals: parallelogram,
rhombus, rectangle, square, and trapezoid. what is the probability that it has four right angles, given that it has four congruent sides? (is this dependent? )

Which best explains why this triangle is or is not a right triangle?

On a piece of paper, graph y< x+1. then determine which answer matches the graph you drew.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?