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Home Question Bank Math Probability Archive 2024 December 09

Probability Questions from Dec 09,2024

Browse the Probability Q&A Archive for Dec 09,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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4. Algunos registros muestran que la probabilidad de que a un automóvil se le desinfle un neumático al atravesar cierto túnel es de 0.00005 . Utilice la aproximación de Poisson a la distribución binomial para determinar la probabilidad de que entre 10000 vehiculos que pasan por este túnel: a) exactamente a dos se les desinfle un neumático. b) cuando menos a dos se les desinfle un neumático. c) a lo mucho menos a dos se les desinfle un neumático Se analiza a los 3 vendedores que tiene a su cargo un supervisor de una: aseguradora: Luis vende \( 41 \% \) de las pólizas, Luisa vende \( 34 \% \) y Carnilo el resta. Luis tiene quejas en \( 8 \% \) de las pólizas que vende, Luisa en \( 6 \% \) y Camilo en \( 8 \% \). Si un cliente presenta una queja, ¿cuál es la probabilidad de que Luis vendiera la póliza? (Comentario: Tenga presente para sus catculos y para su respuesta final 4 cifras decimales, escriba su respuesta en formato decimat) Pregunta 3 Se analiza a los 3 vendedares que tiene a su cargo un supervisor de una aseguradora: Lais vende \( 41 \% \) de las pólizas, Luisa vende \( 34 \% \) y carnilo el resto. Luis tiene quejas en \( 8 \% \) de las pólizas que vende, Luisa en \( 6 \% \) y Carnilo en \( 8 \% \). Si un cliente presenta una queja, ¿cuál es la probabilidad de que Luis vendiera la póliza? (Comentario: Tenga presente para sus calculos y para su respuesta final 4 cifras decimales, escriba su respuesta en fomato decimal) 6. There are four blood types: \( 0, A, A B \), and \( B \). The probability of being 0 is 0.45 , of being type \( A \) is 0.40 , and being of type \( B \) is 0.11 . What is the probability of being type \( A R \) ? In a certain county, \( 30 \% \) of the voters are Republicans. Assume each voters' political affiliation is independent of one another. Part a: If ten voters are selected at random, find the probability that no more than six of them will be Republicans. Part b: If 200 people vote at a specific polling location, what is the standard deviation of the number of voters who are Republican? \( \begin{array}{l}\text { Part c: What is the probability that the first voter to be a Republican at a } \\ \text { given election would occur after the } 15^{h} \text { person to enter the polling } \\ \text { location? } \\ \begin{array}{l}\text { Part d: On average, how many voters would we expect to survey } \\ \text { before finding a Republican voter? }\end{array}\end{array} \). Riley flipped a coin 10 times. The outcomes are shown in the table below. Work out the relative frequency of head: Give your answer as a fraction. \begin{tabular}{ccc}\hline Outcome & Heads & Tails \\ \hline Frequency & 6 & 4\end{tabular} 4. Два станка работают независимо друг от друга. Вероятность бесперебойной работы первого станка в течение некоторого времени t равно 0,2; второго - 0,5 . Вычислить вероятность бесперебойной работы: а) обоих станков в течение указанного промежутка времени; б) хотя бы одного из двух станков в течение времени t . 2. Use the addition principle for counting tq solve the following. If \( n(A)=5, n(B)=11 \), and \( n(A \cap B)=3 \), what is \( n(A \cup B) \) ? 6. Which of the following is a correct statement? The total probabilities of all values in a sample space must add up to 1 Probabilities are numbers whose values can be any number between -1 and 1 The law of averages tells me that if my first 10 flips on a fair coin are all heads, the next flip has a higher probability of being a tail. An event that is certain not to happen has a probability of 1.0 5. There are 5 vowels in the alphabet \( (A, E, I, O, U) \). There are 26 letters in the alphabet. What is the probability of randomly choosing a letter that is not a vowel?
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