Answer:
Step-by-step explanation:
D
We will use binomial
distribution in this problem.
<span>The solution would be like
this for this specific problem:
</span><span>P(default) = p = 4% = 0.04 </span><span>
<span>q = 1-p = 1-0.04 = 0.96 </span>
n = 5</span>
<span>P(r) = nCr*q^(n-r)*p^r </span>
<span>Required probability =
P(r=2) = 5C2*0.96^3*0.04^2 </span>
= 0.0142 OR 1.42%
<span>The probability that at most
two customers in the sample will default on their payments is 1.42%.</span>
Please check out the attached photo
Answer:
18 L
Step-by-step explanation:
Given : she must mix a solution of 67% herbicide with a solution of 46% herbicide to form 42 liters of a 55% solution.
To Find: How much of the 67% solution must she use?
Let x = amount of 67% solution needed
Then 42-x=amount of 46% solution needed
Now we know that the pure herbicide in the 67% solution
So, pure herbicide = (0.67x)
The amount of pure herbicide in the 46% solution (0.46(42-x))
Now 42 liters of a 55% solution = (0.46(42-x))
So,
Amount of 67% solution + Amount of 46% solution = 42 liters of a 55% solution
⇒0.67x+0.46(42-x)=0.55*42
⇒0.67x+19.32-0.46x=23.1
⇒0.21x=3.78
⇒
⇒x = 18 liters
Hence she use 18 liters of the 67% solution