If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of
1 answer:
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Answer:
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner
Step-by-step explanation:
Given data:
51% of male voters preferred a Republican candidate
sample size = 5490
To win the vote one needs ≈ 2746 votes
In order to advice Gallup appropriately lets consider this as a binomial distribution
n = 5490
p = 0.51
q = 1 - 0.51 = 0.49
Hence > 5 while
< 5
we will consider it as a normal distribution
From the question :
number of male voters who prefer republican candidate ( mean ) ( u )
= 0.51 * 5490 = 2799.9
std = =
= 37.0399 ---- ( 1 )
determine the Z-score = (x - u ) / std ---- ( 2 )
x = 2746 , u = 2799.9 , std = 37.0399
hence Z - score = - 1.4552
hence
p ( x > 2746 ) = p ( z > - 1.4552 )
= 1 - 0.072806
= 0.9272
This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner
Answer:
Step-by-step explanation:
<em>Step 1: Consider the assumption:</em>
Generally, ) is supposed to be the pair of 2 components, in which, the first component is x-component (domain), the second component is y-component (range).
Hence,
<em>Step 2: Substitute </em><em> and </em>
<em> into the inequality</em>
<=>
<em>Step 3: Simplify</em>
<=>
<=>
<em>Step 4: Evaluate</em>
Invalid
Reason:
<em>Step 5: Conclude</em>
is not a solution to the inequality
Hope this helps!
:)