Winston, a dog, loves to play fetch. He catches each ball mid-air independently with probability 0.35. What is the probability that in four tosses, Winston makes exactly two mid-air catches? Round your answer to two decimal places.

Kyd and North are playing a game. Kyd selects one card from a standard 52 -card deck. If Kyd selects a face card Jack, Queen, or King), North pays him \( \$ 6 \). If Kyd selects any other type of card, he pays North \( \$ 3 \). a) What is Kyd's expected value for this game? Round your answer to the nearest cent. \( \$ \) b) What is North's expected value for this game? Round your answer to the nearest cent. \$ c) Who has the advantage in this game? Select an answer -

Une roseraie livre des fleuristes par lots de 100 roses. Afin de fidéliser ses clients, elle rembourse un lot lorsqu'il cor strictement plus de 5 roses fanées, Une étude a montré que \( 4 \% \) des roses livrées sont fanées. On choisit un lot au hasard note \( X \) la variable aléatoire qui compte le nombre de roses fanées de ce lot. 1) Quelle est la loi suivie par la variable aléatoire \( X 7 \) Justifier. 2) A laide du menu a Probabilités o de la calculatrice, déterminer la probabilité, arrondie à \( 10^{-3} \) près, que : a. 8 roses exactement soient fanées. b. 4 roses ou moins soient fanées. c. le lot soit remboursé au fleuriste. 3) Le chef des ventes de la roseraie souhaite que le nombre de lots remboursés n'excède pas \( 1 \% \) des lots livrés. Pot il augmente le nombre minimum \( k \) de roses fanées à partir duquel le lot est remboursé. A laide de la calculatrice, déterminer la valeur de cet entier \( k \).

Ben buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 5 sugar cookies and 4 oatmeal cookies. What is the probability that Ben randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you Inswer as a reduced fraction. Question Help: \( \square \) Video Submit Question

A certain game involves tossing 3 fair coins, and it pays \( 14 \ell \) for 3 heads, \( 5 \& \) for 2 heads, and \( 2 \& \) for 1 head. Is \( 5 \& \) a fair price to pay to play this game? That is, does the \( 5 \notin \) cost to play make the game fair? The \( 5 \& \) cost to play 1 a fair price to pay because the expected winnings are (Type an integer or a fraction. Simplify your answer.)

A box contains 3 red, 11 blue, and 9 green marbles. a) Two marbles are selected at random with replacement. Find the probability they are both red. b. Two marbles are selected at random without replacement. Find the probability that the first is blue and the second is green. c. Two marbles are selected at random without replacement. Find the probability that the first is blue and the second is yellow. Calculator