jose is going to use a random number generator 500 times. each time he uses it, he will get a 1, 2, 3, or 4…

jose is going to use a random number generator 500 times. each time he uses it, he will get a 1, 2, 3, or 4. complete the following statement with the best prediction. jose will get something other than a 2... choose 1 answer: a exactly 250 times b close to 250 times but probably not exactly 250 times c exactly 375 times d close to 375 times but probably not exactly 375 times

jose is going to use a random number generator 500 times. each time he uses it, he will get a 1, 2, 3, or 4. complete the following statement with the best prediction. jose will get something other than a 2... choose 1 answer: a exactly 250 times b close to 250 times but probably not exactly 250 times c exactly 375 times d close to 375 times but probably not exactly 375 times

Answer

Explanation:

Step1: Calcular la probabilidad de no obtener un 2

La probabilidad de obtener un 2 en un solo intento es $\frac{1}{4}$, entonces la probabilidad de no obtener un 2 es $1 - \frac{1}{4}=\frac{3}{4}$.

Step2: Calcular la cantidad esperada

Si el experimento se realiza 500 veces, la cantidad esperada de veces que no se obtiene un 2 es $500\times\frac{3}{4}= 375$. Pero como se trata de un proceso aleatorio, es probable que no sea exactamente 375 veces.

Answer:

D. Close to 375 times but probably not exactly 375 times