Both of these conditions must be true in order for the assumption that the binomial distribution is approximately normal. In other words, if
and
then we can use a normal distribution to get a good estimate of the binomial distribution. If either np or nq is smaller than 5, then a normal distribution wouldn't be a good model to use.
side note: q = 1-p is the complement of probability p
Answer:
137 votes
Step-by-step explanation:
considering an election with 681 votes and 5 candidates up for the election
dividing the votes among'st 5 candidates
= 681 / 5 = 136.2 hence the least number of first-place votes needed by a candidate using the plurality method would be = 137 votes
136.2 + 136.2 + 136.2 + 136.2 + 136.2 = 681 ( dividing the votes equally )
136 + 136 + 136 + 136+136 = 680
hence the remaining vote = 681 - 680 = 1
least first-place vote = 136 + 1 = 137 votes
Answer:
An echo is formed as a result of reflection of the original sound which returns to the listener. You might have experienced Echo in an EMPTY ROOM but no echo is produced after the room is occupied. To avoid echo from being produced the echo has to be absorbed. Echo in a cinema theatre is absorbed by the WALLS of the theatre.
They are not plain. The walls are corrugated or shaped to form tiny holes or empty spaces to ABSORB the ECHO. Modern Theatre's have ABSORBENT materials sticked to the walls of the theatre.
X=7/12
Alright so let's solve this! :)
••• Subtract 3w from both sides.
<span><span><span><span>5w</span>+3</span>−<span>3w</span></span>=<span><span><span>3w</span>+10</span>−<span>3w</span></span></span><span><span><span>2w</span>+3</span>=10
</span>••• Subtract 3 from both sides.
<span><span><span><span>2w</span>+3</span>−3</span>=<span>10−3</span></span><span><span>2w</span>=7
</span>••• Divide both sides by 2.
<span>2w/2</span>=<span>7/<span>2
</span></span>=<span>7/2
and then 7/2=3.5</span>
7/9
Since the probability of getting a 1 or 9 is 2/9
9-2=7
so 7/9
:)