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Karen is playing a game of chance with a probability of success of 33%. If she plays the game 43 times, what is the probability that she will win more than 19 times?

Karen is playing a game of chance with a probability of success of 33%. If she plays the game 43 times, what is the probability that she will win more than 19 times?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Practice Karen is playing a game of chance with a probability of success of 33%. If she plays the game 43 times, what is the probability that she will win more than 19 times? 2. When approximating a binomial distribution, how do you calculate the standard deviation? 3. Gregory has created a card game where you either draw a black card or a red card. If you draw a red card, you get a dollar. But if you draw a black card you owe him a dollar. The chance of drawing a red card is 61%. You decide to play against Gregory 26 times. Can you approximate this situation with a normal curve? Why or why not? 4. Sue has organized her closet into summer clothing and winter clothing. She closes her eyes and reaches in her closet to pick an outfit. If she selects summer clothing she will be cold (it is winter). The chance of Sue selecting summer clothing is 41%. She decides to select 27 outfits this way. If you were to approximate this with a normal curve, what would the standard deviation be? 5. Sharon can't decide between two guys that she likes. She picks a daisy from the garden and decides to play "I like Greg more, I like Stan more" with the petals. The chance of the last petal being "I like Greg more" is 67%. She decides to go through this process with 48 daisies. What is the probability that she will select Greg more than 36 times? 6. Vern has to choose between two summer jobs. He painted a wheel red and blue. If the spinner lands in the red area, he works for a landscaping company. If it lands in the blue, he works for a fast food restaurant. The chance of the spinner landing in the red area is 52%. He decides to spin 33 times. What standard deviation would you use to approximate this situation with a normal curve?
Transcribed Image Text:Practice Karen is playing a game of chance with a probability of success of 33%. If she plays the game 43 times, what is the probability that she will win more than 19 times? 2. When approximating a binomial distribution, how do you calculate the standard deviation? 3. Gregory has created a card game where you either draw a black card or a red card. If you draw a red card, you get a dollar. But if you draw a black card you owe him a dollar. The chance of drawing a red card is 61%. You decide to play against Gregory 26 times. Can you approximate this situation with a normal curve? Why or why not? 4. Sue has organized her closet into summer clothing and winter clothing. She closes her eyes and reaches in her closet to pick an outfit. If she selects summer clothing she will be cold (it is winter). The chance of Sue selecting summer clothing is 41%. She decides to select 27 outfits this way. If you were to approximate this with a normal curve, what would the standard deviation be? 5. Sharon can't decide between two guys that she likes. She picks a daisy from the garden and decides to play "I like Greg more, I like Stan more" with the petals. The chance of the last petal being "I like Greg more" is 67%. She decides to go through this process with 48 daisies. What is the probability that she will select Greg more than 36 times? 6. Vern has to choose between two summer jobs. He painted a wheel red and blue. If the spinner lands in the red area, he works for a landscaping company. If it lands in the blue, he works for a fast food restaurant. The chance of the spinner landing in the red area is 52%. He decides to spin 33 times. What standard deviation would you use to approximate this situation with a normal curve?
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