Answer:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:

And we can use the complement rule:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)
Answer:
Female=14 male=6
Step-by-step explanation:
Oof this toke long I understand it now, for yesterday you gotta do 6+6+6+6+6=30 this is the male and so you add 14 to 30=44, now comes the important part of solving this problem. For today you gotta add 4 men and 4 women so you do 6+6+6+6=24 now 14+14+14+14=56 and if you add 56+24=80 .
3:4 = G:B
1:5 = Mr. Smith's class: 7th Grade
2:7= 7th: Middle school
12 girls = 3 units
1 unit = 12/3= 4
Boys = 4x4= 16
<em>Whole class = 28 students</em>
Class : Grade = 1:5 <em> 7 = number of units in Mr. Smith's class</em>
28 = 1 unit
5 units= 28x5= 140 <em>There are 140 kids in the grade</em>
140 = 2 units
1 unit = 140/2= 70
70x7=490
<u><em>There are 490 students in the whole grade</em></u>
The perimeter p of the rectangle with length l and width w is:
p = 2l + 2w
that is, two times its length and two times its width, lets solve for the width w and substitute known data:
<span>p = 2l + 2w
</span>2w = p - 2l
w = (<span>p - 2l</span>)/2
w = (56 - (2*12))/2
w = (56 - 24)/2
w = 32/2
w = 16
therefore the width of the rectangle is 16 in