Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
Answer:
There is no difference as per statistical evidence.
Step-by-step explanation:
We calculate t statistic from the formula
t =difference in means/Std error of difference
Here n1 = n2
t = (x bar - y bar)/sq rt of s1^2+s2^2
Let treatment I =X = 34 41 38 29
Treatment II Y = 39 48 35 36
X Y
Mean 35.50 39.50
Variance 81.00 105.00
H0: x bar = y bar
Ha: x bar not equal to y bar
(Two tailed test at 0.05 significant level)
N1 = 4 and N2 = 4
df=N1+N2-2 = 6
s1^2 = 81/3 =27 and s2^2 = 105/3 = 35
Std error for difference =
t = -1.02
p =0.348834
p>0.05
Since p value >alpha we accept null hypothesis.
Hence there is statistical evidence to show that there is no difference in the mean level of scores.
Answer:
False
Step-by-step explanation:
The function you use to find the angle will depend on the other information given. Regardless, finding the angle may involve the inverse sine <em>function</em>, not the inverse sine <em>ratio</em>.
_____
If you know the leg adjacent as well as the leg opposite, the inverse <em>tangent</em> function will be an appropriate choice.
P = 144 p
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3.141632
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