Solve for n by simplifying both sides of the equation, then isolating the variables.
n=54
Hope I helped
Answer:

And using the probability mass function we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
For this cae that one buggy whip would be defective is 
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:

And using the probability mass function we got:

Simple....
you have:

So...first you know you're trying to find x..
But, you have a square root on one side...to remove this you'd have to square both sides--->>>

Leaving you with....

Move the terms over and set it equal to
zero.
-->>

Factor out a 3...

What multiplies to -12 and adds to 4?
6*-2=-12
6+-2=4
Leaving you with...

Remember you're solving for 0....
3x-2=0
3x-2=0
+2 +2
3x=2

x=
Then-->>
x+2=0
x+2=0
-2 -2
x=-2
Thus, your answer.