Answer:
P(X ≥ 1) = 0.50
Step-by-step explanation:
Given that:
The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.
Then; the probability of success = 7/34 = 0.20588
Using Binomial distribution to determine the probability; we have:
where;
x = 0,1,2,...n and 0 < β < 1
and x represents the number of successes.
However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:
P(X ≥ 1) = 1 - P(X< 1)
P(X ≥ 1) = 1 - P(X =0)
![P(X \ge 1) = 1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg]](https://tex.z-dn.net/?f=P%28X%20%5Cge%201%29%20%3D%20%201%20-%20%5Cbigg%20%5B%20%7B%5E3C__0%7D%20%280.21%29%5E0%20%281-0.21%29%5E%7B3-0%7D%20%5Cbigg%5D)
![P(X \ge 1) = 1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg]](https://tex.z-dn.net/?f=P%28X%20%5Cge%201%29%20%3D%20%201%20-%20%5Cbigg%20%5B%201%20%5Ctimes%201%20%280.79%29%5E%7B3%7D%20%5Cbigg%5D)
P(X ≥ 1) = 1 - 0.50
P(X ≥ 1) = 0.50
0.329 is rational because it has a definitive stop. It doesn't continue forever without any order.
Answer:
The answer is zero. Any number times zero will always be zero.
Step-by-step explanation:
Before we start answering the question, let's define the compound interest formula:
Where:
<span>'A'</span> is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years
<span>
(A) Find Principal Amount</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:
∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.
(B) Find Principal AmountSame given values as above, with the exception of 't' which is now 10 instead of 5.
∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.
Hope this helps!
Maine : 1.10 x 10^6 = 1,100,000
New Hampshire : 3.14 x 10^5 = 314,000
New York : 9.65 x 10^5 = 965,000
Vermont : 1.89 x 10^6 = 1,890,000
least to greatest : New Hampshire, New York, Maine, Vermont
