Answer:
the answer is a where x=8
Explanation:
cross multiplication method
I think 12 might be the second one, I'm not sure though!
Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:


Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:


Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:

More can be learned about the binomial distribution at brainly.com/question/24863377
#SPJ1
X= 1 .........................
You will need to use this formula:
Principal = Total ÷ (1 + Rate) ^ <span>years
</span><span>Principal = 35,000 / [1.08]^4
</span><span><span><span>Principal = 35,000 / 1.36048896
</span>
</span>
</span>
Principal =
<span>
<span>
<span>
25,726.04
</span>
</span>
</span>
So, you would have to deposit $25,762.04 @ 8 per cent to have 35,000 in four years.