## Related questions with answers

Question

The County Clerk in Essex, New Jersey, was accused of cheating by not using randomness in assign ing line positions on voting ballots. Among 4 l different ballots, Democrats were assigned the top line 40 times. Assume that Democrats and Republicans are assigned the top line using a method of random selection so that they are equally likely to get that top line. Find the probability of 40 or more top lines for Democrats.

Solution

VerifiedAnswered 4 months ago

Answered 4 months ago

Step 1

1 of 3Given:

$p=50\%=0.50 (\text{Democrats and Republicans are equally likely})$

$n=41$

DEFINITIONS

Definition binomial probability:

$P(X=x)=\dfrac{n!}{x!(n-x)!}\cdot p^x\cdot (1-p)^{n-x}$

Complement rule:

$P(\text{ not A})=1-P(A)$

Addition rule for disjoint or mutually exclusive events:

$P(A\text{ or }B)=P(A)+P(B)$

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