4 Wk - Probability - 2

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Rutgers University *

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930

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Statistics

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Jan 9, 2024

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pdf

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2

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Page 1 Name: ________________________________ Statistics | Rutgers-Newark | Saleh 4 – Probability 1. The table below shows a probability model for a person’s favorite vehicle color. Color Black Blue Brown Gray Red Silver White Probability 0.20 0.10 0.05 0.15 0.10 0.15 0.25 a. P(black or blue) = b. P(not silver) = 2. You flip a fair coin twice and count the number of tails. The sample space of this probability model is S = { 3. Suppose that in Cape May, 60% of the households own mutual funds, 40% own individual stocks, and 20% own both mutual funds and individual stocks. a. Are owning mutual funds and individual stocks disjoint? b. Draw a Venn diagram showing the events. c. The proportion of households that own individual stocks but not mutual funds = ____ %. d. The proportion of households that own neither mutual funds nor individual stocks = ____ %. 4. Suppose you have a list of all registered voters in Hoboken and find that 70% of them are Democrats. a. What is the probability of selecting someone who is not a Democrat? b. If you select two voters, what is the probability that one is a Democrat and the other is not?
Page 2 5. A café wants to estimate their daily demand for their house blend coffee. The owner determined that the daily demand follows the normal probability model with mean 200 cups and standard deviation 30. The probability that the number of cups of house blend coffee sold on a particular day a. Exceeds 250 = b. Is exactly 250 = 6. A particular electronic component is produced at two plants for an electronics manufacturer. Plant A produces 70% of the components used and the remainder are produced by plant B. The proportion of defective components produced at plant A is 1% and the proportion of defective components produced at plant B is 2%. a. Draw a tree diagram and calculate the probabilities. b. The proportion of defective components that the electronics manufacturer receives from these two plants is: /13
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