Question

Let X denote the number of times Ron Weasley manages to irritate Professor Snape in one day. Then X has the following probability distribution: x f(x) 0 0.15 1 0.20 2 0.20 3 0.30 4 0.15 (a) () Find the probability that Ron will get in trouble with Professor Snape at least two times in one day. Round your answe

Answer 1

the probability that Ron will get in trouble with Professor Snape at least two times in one day is 0.7

Explanation:

We are given

X 0 1 2 3 4

P(X) 0.15 0.20 0.20 0.30 0.15

we want Ron Weasley to get in trouble at least two time in one day

that mean X
`\geq` 2

P(X
`\geq` 2) = P(X=2) + P(X=3) + P(X=4)

= 0.20+0.30+0.15

= 0.65= 0.7 (rounded to nearest tenth)