## Exam-Style Question on Probability Distribution## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 455. This question is similar to one that appeared on an IB AI Standard paper (specimen) for 2021. The use of a calculator is allowed.

A game is played with a biased five-sided spinner. The possible scores, \(X\) and their probabilities are shown in the following table.

Score \(x\) | -5 | -1 | 0 | 2 | 10 |

\(P(X=x)\) | 0.2 | p | 0.3 | 0.3 | 0.1 |

(a) Find the exact value of p.

Jaedee plays the game once.

(b) Calculate the expected score.

Jaedee plays the game twice and adds the two scores together.

(c) Find the probability Jaedee has a total score of 10.

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