Probability Questions from Nov 12,2024

Browse the Probability Q&A Archive for Nov 12,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A survey of 800 randomly selected high school students determined that 324 play organized sports. (a) What is the probability that a randomly selected high school student plays organized sports? (b) Interpret this probability. (a) The probability that a randomly selected high school student plays organized sports is (Round to the nearest thousandth as needed.) A survey of 600 randomly selected high school students determined that 336 play organized sports. (a) What is the probability that a randomly selected high school student plays organized sports? (b) Interpret this probability. (a) The probability that a randomly selected high school student plays organized sports is (Round to the nearest thousandth as needed.) \( \mathrm{P}(\mathrm{E})=\square \) (Type an integer or a decimal. Do not round.) Let the sample space be \( \mathrm{S}=\{1,2,3,4,5,6,7,8,9,10\} \). Suppose the outcomes are equally likely. Compute the probability of the event \( \mathrm{E}= \) "an even number." If a person draws a playing card and checks its suit and then spins a three-space spinner, describe the sample space of possible outcomes using \( \mathrm{C}, \mathrm{D}, \mathrm{H}, \mathrm{S} \) for the card outcomes and \( 1,2,3 \) for the spinner outcomes. Type the outcome form Cl or 1 C , which would be the outcome of drawing a club and spinning a 1 . The sample space is \( \mathrm{S}=\{\square \). (Use a comma to separate answers as needed.) 16 Let the sample space be \( \mathrm{S}=\{1,2,3,4,5,6,7,8,9,10\} \). Suppose the outcomes are equally likely. Compute the probability of the event \( E= \) "an even number less than \( 100^{\circ} \). \( P(E)=\square \) (Type an integer or a decimal. Do not round.) Let the sample space be \( \mathrm{S}=\{1,2,3,4,5,6,7,8,9,10\} \). Suppose the outcomes are equally likely. Compute the probability of the event \( E=\{3,5,7,8\} \). \( P(E)=\square \) (Type an integer or a decimal. Do not round.) \( \mathrm{P}(\mathrm{E})=0.2 \) (Type an integer or a decimal. Do not round.) Let the sample space be \( S=\{1,2,3,4,5,6,7,8,9,10\} \). Suppose the outcomes are equally likely. Compute the probability of the event \( E=\{5,8\} \). 1 Homework According to a certain country's department of education, \( 41.9 \% \) of 3 -year-olds are enrolled in day care. What is the probability that a randomly selected 3 -year-old is enrolled in day cares? The probability that a randomly selected 3-year-old is enrolled in day care is (Type an integer or a decimal.) Complete the sentence below. In a probability model, the sum of the probabilities of all outcomes must equal (Type an integer or a decimal. Do not round.)
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