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: $0.65
Step-by-step explanation:
Amount for the magazine in a regular newsstand for one year:
1.95*12=$23.4
Amount saved per issue with subscription:
(23.4-15.60) ÷ 12 = $0.65 per issue is saved with a subscription
Hello! The ratio would be 15 minutes warm ups: 65 minutes total workout.
To simplify this: 3:13 ratio. (Divided 15 by 5 and 65 by 5)
