1. State yes/no in ach part, and explain in a entence or two. a. You have a bowl
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Question
1. State yes/no in ach part, and explain in a entence or two. a. You have a bowl filled with 100 balls, blue balls. You randomly select go to randomly select another ball. Is the probability that the second pick is blue independest of what the first ball color was? which are colored red or blue. You have 50 red and 50 a ball and throw it out (don't put it back in the bowl). Then you no asrna srnce4r eramree giv selechname f.rsr bowl b. You have a bowl filled with 100 balls, which are colored red or blur. You have 50 red and 50 d blue bals. You randomly selecet a ball, record the color, and pat the ball back into the bowl. Them you go to randomly select another ball. Is the probability that the second pick is blae Independent Caler of what the first ball color was? yeo ItS 1r dependent be caure, u-o ace f.sing-re b.u baec C. A soccer player is going to take a penalty kick 50 times at practice. They are interested in the number of shots they make (each kick is either made or missed). If each kick attempt is independent with a 35% dance (0.35 probability) of being made, then is the total number of kicks made in the pts following a binomial distribution? In ach irae, the Frobalo,ty of svccees remain ,t d2 A basketball player is going to take 50 free throws at practice. They are interested in the number of shots they make (each shot is either made or miseed). If shot attempts are independent, but the player begins to shoot better the more they attempt shots (the probability they make a shot increases the more attempts they take, p is increasing), then is the 50 attempts following a binomial distribution? the total number of shots made in e. Your teacher has a stack of 3 x 5 cards, which have the names of each of the students in your class on it (including you). The teacher randomly select a card, auks the student a question, and sets the card aside. The teacher then randomly selects another card. Is the probability that the second pick is you independent of what the first name was? f. Your teacher has a stack of 3 x 5 cards, which have the names of each of the students in your class on it (including you). The teacher randomly select a card, asks the student a question, puts the card back in the stack, and shuffles the cards. The teacher then randomly selects anotber card. Is the probability that the second pick is you independent of what the first name was?
Explanation / Answer
e) The trail is not independent .because it contains the name of all students in the class and selected randomly and keep the card taken aside.So the next trail is conducted by the remaining students randomly ,at this point of view the number of students in the box is decreased by 1(already 1 taken) So the probability varies .
f)The trail is independent .since the takencard is replaced in to that box. so the number of card doesnot varies.so they are independent trails.
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