Q.8 A computer program requires the user to enter a 7-digit registration code made up of the digits 1, 2, 4, 5, 6, 7, and 9. Each number has to be used, and no number can be used more than once. Sample space S = Total number of 7 digits without repetition is 7 × 6 × 5 × 4 x 3 x 2 x 1 = 7! = 5040 {1, 2, 4, 5, 6, 7, 9} %3D (i) What is the probability that the first three digits of the code are even numbers?

Number of ChildrenTable 1 shows the number of women (per 1000) between 15 and 50 years of age who have been married grouped by the number of children they have had. Table 2 gives the same information for women who have never been married.1 Number of Children     Women per 1000 0   162 1   213 2   344 3   182 4   69 5+      32 Table 1 Women who have been married Number of Children     Women per 1000 0   752 1   117 2   72 3   35 4   15 5+      10 Table 2 Women who have never been married 1http://www.census.gov/hhes/fertility/data/cps/2014.html, Table 1, June 2014.   Condition gt requires numbers instead of "null" and "0" (a) Without doing any calculations, which of the two samples appears to have the highest mean number of children?  Women who have been marriedWomen who have never been married Which of the distributions appears to have the mean most different from the median?  Women who have been marriedWomen who have never been married…

License plates: In a certain state, license plates consist of four digits from 0 to 9 followed by four letters. Assume the numbers and letters are chosen at random. Replicates are allowed. How many different license plates can be formed? The number of different license plates is?=

Which of the following formulas is used for calculating the number of ways you can make groups of 4 from 10 total objects? Combinations Permutations Conditional Probability Multiplication Principal