Exam2SampleProblems SP17 .pdf - Exam 2 Sample Problems 1 In...

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Exam 2 Sample Problems 1. In a 1 pound bag of skittles the possible colors were red, green, yellow, orange, and purple. The probability of drawing a particular color from that bag is given below. Color Probability Red 0.1764 Green 0.2109 Orange ? Yellow .1045 Purple .3055 a. What is the probability of selecting an Orange skittle? b. What is the probability of selecting a Red or Green skittle? c. What is the probability of not selecting a Yellow skittle? d. What is the probability of selecting a Blue skittle? e. What skittle color is the most likely? 2. You have 27 songs on your MP3 player and randomly select one to play. One song is your favorite. a. What is the chance that your favorite song will be the one to play? b. When it finishes, you again randomly select a so ng to play, and it’s the same one! What is the chance of this happening? c. After you select a song at random 3 times, what is the chance that your favorite song will not play any of those times? 3. The median annual household income for U.S. households is about $56,516. [Source: U.S. Census Bureau, .] (Note: for these problems, think about the meaning of the word “median”) a. Among five randomly selected U.S. households, find the probability that four or more have incomes exceeding $56,516 per year. b. Create a probability distribution (table) for the situation in (a) c. Consider a random sample of 16 U.S. households. i. What is the expected number (mean) of households with annual incomes under $56.516? ii. What is the standard deviation of the number of households with annual incomes under $56,516? iii. What is the probability of getting at least 10 out of the 16 households with annual incomes under $56,516?
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4. According to government data, the probability than an adult never had the flu is 11%. You randomly select 53 adults and ask if he or she ever had the flu. Using the binomial functions, a. Find the probability that 3 people never had the flu.
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