Probability Questions & Answers

6. Combinaciones Básicas (10 puntos) Calcula el número de formas en que se pueden elegir 4 elementos de un conjunto de 10 elementos. Explica el proceso.

A grocer noticed that customers buy both pet and baby supplies with a probability of ().12. Considered separately, the probability that a customer buys pet supplies is P(A)=0.64 , and the probability that a customer buys baby supplies is P(B)=0.25Move expressions and numbers into the blanks to create an equation that represents the probability that a customer buys either pet supplies or baby supplies._ =_P(A or B)P(A and B)0.160.280.520.77

Find the value of the combination. \( { }_{44} \mathrm{C}_{3} \mathrm{C}_{3}=\square \) (Type a whole number.)

Find the value of the combination. \( { }_{12} \mathrm{C}_{4} \) \( { }_{12} \mathrm{C}_{4}=\square \)

\( \leftarrow \) Find the value of the combination. \( { }_{6} \mathrm{C}_{0} \) \( { }_{6} \mathrm{C}_{0}=\square \)

on 5.5 Homework: Combinations \[ \begin{array}{l}\text { Find the value of the combination. } \\ { }_{11} C_{7}\end{array} \] \( { }_{11} C_{7}=\square \)

The probability that a randomly selected 40 -year-old male will live to be 41 years old is 0.996744 , according to the National Vital Statistics Report, Vol. 71 , No. (a) What is the probability that two randomly selected 40 -year-old males will live to be 41 years old? (b) What is the probability that eight randomly selected 40 -year-old males will live to be 41 years old? (c) What is the probability that at least one of eight randomly selected 40 -year-old males will not live to be 41 years old? Would it be unusual if at least one of e (a) The probability is 0.993499 . (Round to six decimal places as needed.) (b) The probability is 0.978515 . (Round to six decimal places as needed.)

In \( 1970,91.9 \% \) of American 30-year-olds earned more than their parents did at age 30 (adjusted for inflation). In 2014, only \( 50.7 \% \) of Americar (a) What is the probability a randomly selected 30 -year-old in 1970 earned more than their parents at age 30 ? The probability is 0.9190 . (Round to four decimal places as needed.) (b) What is the probability that two randomly selected 30 -year-olds in 1970 earned more than their parents at age 30 ? The probability is 0.8446 . (Round to four decimal places as needed.) (c) What is the probability that out of ten randomly selected 30 -year-olds in 1970, at least one did not earn more than their parents at age 30 ? The probability is 0.573 . (Round to four decimal places as needed.) (d) What is the probability that out of ten randomly selected 30 -year-olds in 2014 , at least one did not earn more than their parents at age 30 ? The probability is \( \square \).

In \( 1970,91.9 \% \) of American 30 -year-olds eamed more than their parents did at age 30 (adjusted for inflation). In 2014, only \( 50.7 \% \) of Ame (a) What is the probability a randomly selected 30 -year-old in 1970 earned more than their parents at age 30? The probability is 0.9190 . (Round to four decimal places as needed.) (b) What is the probability that two randomly selected 30 -year-olds in 1970 earned more than their parents at age 30 ? The probability is 0.8446 . (Round to four decimal places as needed.) (c) What is the probability that out of ten randomly selected 30 -year-olds in 1970, at least one did not earn more than their parents at age : The probability is 0.5810 . (Round to four decimal places as needed.)

In \( 1970,919 \% \) of American 30 -year-olds earned more than their parents did at age 30 (adjusted for inflation) In 2014, only \( 507 \% \) of America (a) What is the probability a randomly selected 30 -year-old in 1970 earned more than their parents at age 30? The probability is 0.9190 (Round to four decimal places as needed) (b) What is the probability that two randomly selected 30 -year-olds in 1970 earned more than their parents at age 30 ? The probability is 0.8446 (Round to four decimal places as needed.) (c) What is the probability that out of ten randomly selected 30 -year-olds in 1970, at least one did not eam more than their parents at age 30 ? The probability is (Round to four decimal places as needed.)