Question

need answer, please and thank you!

Suppose that we want to find the probability that at least 30 people in a class have done their homework. a) Describe the event, E, as a set: E = {x | x 6 30} b) Find the complement of this event: Eº = {x | x ? 29} c) Select an equivalent form of Eº: O{x | x > 30} O{x | x > 30} O{x | x < 30} O{x | X < 30}

Answer 1

a) For at least we use $\small \geq$ inequality.

So, E = {x | x $\small \mathbf{\geq }$ 30}

So, $\small \mathbf{\geq }$ is the answer for part a).

b) Complement of that will be opposite this is at least so opposite is less than.

So, E^c = {x | x $\small \mathbf{\leq }$ 29}

Hence $\small \mathbf{\leq }$ is answer of part b)

c) Option C) {x | x < 30}

Is the answer for part c.

Please comment if any doubt. Thank you.