Answer:
The table that represents the conditional relative frequency is:
A B Total
C 0.25 0.75 1.0
D 0.35 0.65 1.0
Total 0.30 0.70 1.0
Step-by-step explanation:
We know that a conditional relative frequency table is one:
In which the entries in each row is divided by the row total .
OR
In which the entries in each column is divided by the column total.
i.e. the frequency or quantity of an item is being compared either to row or to the column total.
Hence, from the given options, the table that represent the conditional relative frequency is:
A B Total
C 0.25 0.75 1.0
D 0.35 0.65 1.0
Total 0.30 0.70 1.0
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:
Step-by-step explanation:
If the radius of the circle is equal to
and the area is given as 45, then
which simplifies to
and to the nearest tenth,
r = 3.9
