Answer:
a. 0.689
b. 0.8
c. 0.427
Step-by-step explanation:
The given scenario indicates hyper-geometric experiment because because successive trials are dependent and probability of success changes on each trial.
The probability mass function for hyper-geometric distribution is
P(X=x)=kCx(N-k)C(n-x)/NCn
where N=4+3+3=10
n=2
k=4
a.
P(X>0)=1-P(X=0)
The probability mass function for hyper-geometric distribution is
P(X=x)=kCx(N-k)C(n-x)/NCn
P(X=0)=4C0(6C2)/10C2=15/45=0.311
P(X>0)=1-P(X=0)=1-0.311=0.689
P(X>0)=0.689
b.
The mean of hyper-geometric distribution is
μx=nk/N
μx=2*4/10=8/10=0.8
c.
The variance of hyper-geometric distribution is
σx²=nk(N-k).(N-n)/N²(N-1)
σx²=2*4(10-4).(10-2)/10²*9
σx²=8*6*8/900=384/900=0.427
Answer:
h = (10 ft)(1.428) = 14.28 ft
Step-by-step explanation:
Represent the height of the nest by h. This is the vertical side of a triangle. The horizontal side is 10 ft.
The following relationship is true:
tan 55 degrees = (opposite side) / (adjacent side), and in this case,
tan 55 degrees = h / 10 ft, so that:
h = height of nest = (10 ft)(tan 55 degrees), or
h = (10 ft)(1.428) = 14.28 ft
Step-by-step explanation:
The correct numbers are
4 = 5
8 = 10
12 = 15
16 = 20
20 = 25
Hope it will help :)❤
Answer:
I think it's 39 I'm wrong but that's what I think sorry
Answer: A. Just took my best guess