Probability Questions & Answers

There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.

A bag contains three real diamonds and two fake diamonds. You randomly pick a diamond.

When a button is pressed, a computer program outputs a random odd number greater than 1 and less than 13 . You press the button once.

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 32 liters, and standard deviation of 5.6 liters. a) What is the probability that daily production is less than 48 liters? Answer \( =\square \) (Round your answer to 4 decimal places.) b) What is the probability that daily production is more than 42.8 liters? Warning: Do not use the \( Z \) Normal Tables...they may not be accurate enough since WAMAP may look for 4 decimal places.) more accuracy than comes from the table.

A large fast-food restaurant is having a promotional game where game pieces can be found on various products. Customers can win food or cash prizes. According to the company, the probability of winning a prize (large or small) with any eligible purchase is 0.129 . Consider your next 32 purchases that produce a game piece. Calculate the following: This is a binomial distribution. Round your answers to at least 4 decimal places. a) What is the probability that you win 4 prizes? b) What is the probability that you win more than 5 prizes? c) What is the probability that you win 2 prizes or fewer?

Sebuah kotak mempunyai 17 biji bola merah, \( x \) biji bola biru dan \( y \) biji bola kuning. Kebarangkalian bahawa bola merah dipilih secara rawak ialah \( \frac{1}{5} \). Cari nilai \( x+y \). A box has 17 red balls, \( x \) blue balls and y yellow balls. The probability of a red ball is picked randomly is \( \frac{1}{5} \) Find the value of \( x+y \). Jawapan / Answer:

13. Dalam sebuah kelompok terdapat 16 anak terdiri dari 10 anak gemar musik pop. 8 anak gemar musik dangdut dan beberapa diantaranya suka keduanya. Bila seorang siswa dipanggil, maka peluang yang terpanggil adalah siswa yang gemar musik pop dan dangdut adalah.... \( \begin{array}{ll}\text { A. } 1 / 6 & \text { C. } 1 / 4 \\ \text { B. } 1 / 5 & \text { D. } 1 / 3\end{array} \)

11. Dalam sebuah kotak terdapat 5 bola merah dan 8 bola hijau. Diambil secara acak 1 bola merah dan tidak dikembalikan. Peluang terambilnya 1 bola merah ke-2 adalah..... \( \begin{array}{ll}\text { A. } 1 / 3 & \text { C. } 1 / 2 \\ \text { B. } 5 / 12 & \text { D. } 5 / 8\end{array} \)

1. La vida útil, en días, para frascos de cierta medicina de prescripción es una variable aleatoria continua \( X \) que tiene la siguiente función de densidad de probabilidad \[ f(x)=\left\{\begin{array}{ll}2 e^{-x} \sqrt{e^{-2 x}+1}, & x \geq c \\ 0, & x<c\end{array}\right. \]

Prepara tu prueba Saber Un profesor de matemáticas plantea a sus estudiantes el siguiente juego utilizando una baraja de cartas que consta de 4 colores diferentes: amarillo, verde, azul y rojo, y numeradas del 1 al 10. Gana quien complete 21 con tres cartas. Las dos primeras cartas que le entregó a Bernardo fueron la 10 de color verde y un 2 de color azul. De las siguientes afirmaciones, la correcta es: A. Bernardo no puede ganar, porque no hay cartas con un número 9. B. Bernardo ganará, porque es un experimento determinístico. C. No se puede predecir que Bernardo ganará, porque es un experimento aleatorio. D. Bernardo ganará, porque la carta que sigue es un 9.