Taco bell has decided to keep their doors open all night. there are 25 employees that have volunteered for the night shift. a) if a night crew consists of 8 employees, how many different crews are possible? b) if the employees are ranked 1, in order of competence, how many of these crews would not have the best employee? c) how many of the crews would have at least 1 of the 10 best employees? d) if one of these crews is selected at random to work on a particular night, what is the probability that the best employee will not work that night?

a) 1,081,575

b) 735,471

c) 1,075,140

d) 0.3159

Step-by-step explanation:

a)

This is a combination of 25 elements taken 8 at a time

b)

Supposing number 1 is the best, if we leave him/her out we will now have 24 employees, so now it is a combination of 24 elements taken 8 at a time

c)

Let's compute the complement of this set and then subtract.

That is to say, compute how many crews do not have any of the 10 best.

This would be a combination of 25-10 = 15 taken 8 at a time

If we subtract this figure from the total of possible crews, we get 1,081,575 - 6,435 = 1,075,140 possible crews with at least one of the 10 best.

d)

From the figure obtained in c) we subtract the figure obtained in b) 1,075,140 - 735,471 = 339,669 and this is the number of crews that do not have number 1, so the probability that in a crew with at least one of the 10 best number 1 is not there is

339,669/1,075,140 = 0.3159

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

it is 570

step-by-step explanation: