xercice 1 es questions sont indépendantes. 1. Soit \( X \) une variable aléatoire qui suit la loi normale \( \mathscr{N}(5 ; 9) \). Calculer une valeur approchée au dix-millième de \( P(X<2) \).

Em uma urna estão 10 bolas azuis e 6 amarelas. Qual a probabilidade de retirar uma bola amarela desta urna?

Tickets for a raffle cost \( \$ 7 \). There were 800 tickets sold. One ticket will be randomly selected as the winner, and that person wins \( \$ 1000 \) and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two décimal places. Expected Value \( =\$ \$ \)

A bag contains 2 gold marbles, 6 silver marbles, and 27 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win \( \$ 4 \). If it is silver, you win \( \$ 2 \). If it is black, you lose \( \$ 1 \). What is your expected value if you play this game?

Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram. \( P(A)=0.45, P(B)=0.45 \) and \( P(A \operatorname{and} B)=0.10 \). \( P(\operatorname{not} B \mid A)=\square \) Question Help: \( \square \) Video

Determine the probability that: 1.1 the team will win both matches? 1.2 the team loses both matches? 1.3 the team wins exactly one match? 1.5 the team wins at least one match? [8]