The sample size \( n \), probability of success \( p \), and probability of failure \( q \) are given for a binomial experiment. Decide whether you can use a normal distribution to approximate the distribution of \( x \). \( n=20, p=0.89, q=0.11 \) Can a normal distribution be used to approximate the distribution of \( x \) ? A. No, because \( n q<5 \). B. No, because \( n p<5 \) and \( n q<5 \). C. No, because \( n p<5 \). D. Yes, because \( n p \geq 5 \) and \( n q \geq 5 \).

EJERCICIO 7 -1 Se muestran las tallas de calzado de los últimos 20 clientes que han entrado a una zapatería \[ \begin{array}{l}25,22.5,26,26.5,27,25,23,24,24,23,24,24.5,24.5,24,23.5,24.5 \\ 23.5,24.5,25,23.5\end{array} \] Ordena las tallas y elabora una gráfica de columnas para representar los datos

Which of the followring statements are TRUE about the Hormal Distribution? Check all that apply. \( \square \) The distribution is symmetric with a single peak. \( \square \) about \( 95 \% \) of all data values lie within 1 standard deviation of the mean. \( \square \) The graph of the Hormal Distribution is bell-shaped, with tapering tails that never actually touch the horizontal axis. \( \square \) Data values farther from the mean are less common than data values closer to the mean. \( \square 50 \% \) of the data values lie at or above the mean. Data values are spread evenly around the mean. The mean, median and mode are all equal and occur at the center of the distribution.

a class of 40 learners, 32 take Mathematics, 23 Hist ot take Mathematics or History. Draw a Venn diagram to illustrate the given information How many learners take Mathematics and History Determine the Following: the probability that a learner takes History and Mathen the probability that a learner does not take Mathematic How many learners take History but not Mathematics?

Consider the Standard Normal distribution. The mean is always \( \square \) and the standard deviation is always

PENSAMIENTO MATEMÁTICO 1 3. Homero acaba de abrir una bolsa de chocolates confitados y los clasifica por color encontrando 5 naranjas, 7 verdes, 6 azules, 8 amarillos, 5 rojos, y 6 cafés. Realiza una gráfica de columnas para representar lo que encontró en la bolsa -