Total fish = 100
Carp = 30
Number of fish caught = 20
The random variable X follows hyper-geometric distribution.
Mean = 30 *20 / 100 = 600/100 = 6
Variance = 30*20/100 * ((20-1)*(30-1)/100-1 + 1-30*20/100)
Variance = 600/100 * 56/99
Variance = 112/33
Assumptions: Is that X follows hyper-geometric distribution with the given information.
Answer:
no. of senior citizens=x
no.of other people=7-x
cost=30=k(7-x)+(k/2)x. k is the cost of a ticket
k(7-x+x/2)
k(7-x/2)-30=0
k=60/(14-x)
now do trial and error substitution for (x<7) until u get a whole number for k also (k<30). if you have the skills you can suggest the number yourself
ie x= 2, k=5$
6x + 3 = 3 + 6x
0 = 0
many solutions
answer
infinitely many
Answer:
How many drinks should be sold to get a maximal profit? 468
Sales of the first one = 345 cups
Sales of the second one = 123 cups
Step-by-step explanation:
maximize 1.2F + 0.7S
where:
F = first type of drink
S = second type of drink
constraints:
sugar ⇒ 3F + 10S ≤ 3000
juice ⇒ 9F + 4S ≤ 3600
coffee ⇒ 4F + 5S ≤ 2000
using solver the maximum profit is $500.10
and the optimal solution is 345F + 123S
5. It is a 5/9 chance he will pick 2 pair of pants. There are 5 pants and 9 in total (clothes and pants)
7. It is a 3/9 chance he will pick 2 items that are black. There are only 3 things that are black and the rest are other colors.
8. It is a 2/9 chance he will pick a pant and a shirt that is white. There is 1 white pants and 1 white shirt.
That is all I know. Number 6 kind of confuses me. Hope I helped!!!