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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
The car would be able to travel 544 miles because 32 mpg multiplied by the 17 gallons the car is capable of having is 544 miles
Answer:
Nobelium
Step-by-step explanation:
That looks like a chemistry element unless No is meaning the abbreviation No. - Meaning, number.
Answer:
Root 16=4
Root 9=3
Therefore it becomes 4/3
Now distance between the two= 13/3-4/3 which is equal to 9/3 and 9 divided by 3 is 3.
Therefore the distance between the two on a number line is 3