The answer is the first question: What was the best-selling single in 2018?
The probability of 3 successes is 0.0384
<h3>How to determine the probability?</h3>
The given parameters are:
- Trials, n = 4
- Probability of success, p = 0.4
The binomial probability is represented as:
So, the probability of three successes is:
Evaluate the factors in the expression
Evaluate the combination expression
P(3) = 1 * 0.0384
Evaluate the product
P(3) = 0.0384
Hence, the probability of 3 successes is 0.0384
Read more about probability at:
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The horizontal line has equation 
. The line is solid, and everything below it is shaded, which translates to the inequality 
. (so not B nor D)
The dashed line must have equation 
. Because it's dashed, the inequality is strict. Pick any point in the shaded region, (0, 0) for instance, and compare both sides of this equation. (0, 0) means both 
and 
, so on the left side we have 0, and on the right we have -1. 0 > -1, so the inequality must be 
.
This means the answer is A.
Answer:
The formula to calculate the account value in future (compounded monthly):
A = Principal x (1 + rate/12)^(month)
=> 2500 = 1300 x (1 + (3.5/100)/12)^(month)
=> (1 + 0.00291)^(month) = 2500/1300
=> 1.00291^(month) = 1.923
=> month = log(1.923)/log(1.00291) = 225
=> It will take 225 months to have 2500 dollar in account.
Hope this helps!
:)
