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Home Question Bank Math Probability Archive 2024 December 18

Probability Questions from Dec 18,2024

Browse the Probability Q&A Archive for Dec 18,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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You flip a coin twice. What is the probability of getting heads and then getting heads? Write your answer as a percentage rounded to the nearest tenth. 4.2 La distribución de probabilidad de la variable aleatoria discreta \( X \) es \[ f(x)=\binom{3}{x}\left(\frac{1}{4}\right)^{x}\left(\frac{3}{4}\right)^{3-x}, \quad x=0,1,2,3 \] Encuentre la media de \( X \). 22. Of the last 230 new hires at a company, 220 had college degrees and 140 had prior experience. Only 10 new hires had prior experience without a college degree. What is the approximate probability that a new hire has a college degree but no experience? 23. A spinner is divided into 11 equal parts and numbered from 1 through 11 . What is the probability of spinning a number less than 2 or greater than 4 in a single spin? 24. Use inverse operations to write the inverse of \( f(x)=\frac{x}{3}+1 \). What does it mean for two events to be independent in probability? A student entering a doctoral program in educational psychology is required to select two courses from the list of courses provided as part of his or her program. \( \begin{array}{ll}\text { (a) List all possible two-course selections. } \\ \text { (b) Comment on the likelihood that EPR } 698 \text { and EPR } 691 \text { will be selected. } \\ \text { (i) Click the icon to view the course list. } \\ \begin{array}{ll}\text { (a) Select all the possible two-course selections below. } & \square \text { B. } 649,691 \\ \square \text { A. } 683,683,644 & \square \text { D. } 691,691 \\ \square \text { C. } 644,698 & \square \text { F. } 683,649 \\ \square \text { E. } 698,681 & \square \text { H. } 698,691 \\ \square \text { G. } 683,644 & \square \text { J. } 644,691 \\ \square \text { I. } 683,698 & \square \text { L. } 644,649 \\ \square \text { K. } 683,683 & \square \text { N. } 683,691 \\ \square \text { M. } 698,649 & \end{array}\end{array} \). A bag contains eight red marbles and three blue marbles. Another bag contains five green marbles and four yellow marbles. You randomly pick one marble from each bag. One marble is blue and one marble is yellow. \( \begin{array}{c}\text { A cooler contains fourteen bottles of } \\ \text { sports drink: seven lemon-lime flavored } \\ \text { and seven orange flavored. You randomly } \\ \text { grab a bottle and give it to your friend. } \\ \text { Then, you randomly grab a bottle for } \\ \text { yourself. Your friend gets a lemon-lime } \\ \text { and you get an orange. }\end{array} \) Independent چگونه می‌توانیم بررسی کنیم که آیا دو رویداد مستقل هستند؟ 4. Suponga que la probabiridad de que un reportero de espectácuros crea un rumor negativo de cierta actiriz es de 0.8 ¿Cuea es la probabilidad de aur: a) ia sexta persona en escuchar este rumor sea la warta en creerio? b) de que a 10 más cuatio personas que escuchen este rumor lo crean? Suponga ger la probabiridad de gre un reportero de espectácuros crea un rumar negativo de corite actriz es de 0.8 ¿lueri es la probabilidad de que: a) ia sexta persona en escuchar este rumor sea la warta en creerio? b) de que a io más watio personas que escuchen este rumor 10 crean?
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