Answer:
It is Commutative
Step-by-step explanation:
An operation ∆ is said to be Commutative if a∆b=b∆a ∀ a,b ∈ ℝ.
Given the operation ∆ defined by:
a∆b=a X b
a∆b=
=3
Similarly, for the right hand side.
Therefore:
b∆a=
=3
These are the two ways of solving this problem and we have in fact shown that the operation is commutative as:
a∆b=b∆a=3
Answer: a) 683 b) 1067
Step-by-step explanation:
The confidence interval for population proportion is given by :-
a) Given : Significance level :
Critical value :
Margin of error :
Formula to calculate the sample size needed for interval estimate of population proportion :-
Hence, the required sample size would be 683 .
b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-
Hence, the required sample size would be 1067 .