Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
Answer:
3/2x-2>5 1/2
Step-by-step explanation:
Two less than a number means we are subtracting 2, so we can write it into the equation as -2.
Since we dont know the value of x, we can just write 3/2 of x by multiplying 3/2 by x. So 3/2x. Also, since we are subtracting two from 3/2x, -2 comes after 3/2x.
Now, since it says that it is more than 5 1/2, we could use the greater than sign (>), to express that. So >5 1/2
Our final expression is 3/2x-2>5 1/2.
Hope this helps!
René Descartes was the person who created analytic geometry and the Cartesian coordinate system
Answer:
11
Step-by-step explanation:
You would start by subtracting $30 from $151 which is $121.
Then you would divide this by 11 which 121÷11=11
So 11 test were bought.
