Answer:
0.0006087 (4 sf)
Step-by-step explanation:
Binomial distribution: X ~ B(n, p)
where n is the number of trials and p is the probability of success
Let the random variable X be the number of people with brown eyes
n = 14
p = 40% = 0.4
Therefore, X ~ B(14, 0.4)
P(X ≥ 12) = 1 - P(X ≤ 11)
= 1 - 0.9993913226...
= 0.000608677...
X and y intercepts. So x intercept is where y=0 and y intercept is where x=0. Also positive or negative meaning where y>0 (positive) and where y<0 (negative). Use these hints to do it. If you can’t then just let me know...
Answer:
she has a 4/10 chance she will pick purple bow
Answer:
2x+4y,9
Step-by-step explanation:
Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
