Answer:
The probability that 13 of them were very confident their major would lead to a good job is 1.08%.
Step-by-step explanation:
Given : A 2017 poll found that 56% of college students were very confident that their major will lead to a good job. If 15 college students are chosen at random.
To find : What's the probability that 13 of them were very confident their major would lead to a good job?
Solution :
Applying Binomial distribution,
![P(x)=^nC_x p^x q^{n-x}](https://tex.z-dn.net/?f=P%28x%29%3D%5EnC_x%20p%5Ex%20q%5E%7Bn-x%7D)
Here, p is the success p=56%=0.56
q is the failure ![q= 1-p=1-0.56=0.44](https://tex.z-dn.net/?f=q%3D%201-p%3D1-0.56%3D0.44)
n is the number of selection n=15
The probability that 13 of them were very confident their major would lead to a good job i.e. x=13
Substitute the values,
![P(13)=^{15}C_{13} (0.56)^{13} (0.44)^{15-13}](https://tex.z-dn.net/?f=P%2813%29%3D%5E%7B15%7DC_%7B13%7D%20%280.56%29%5E%7B13%7D%20%280.44%29%5E%7B15-13%7D)
![P(13)=\frac{15!}{13!2!}\times (0.56)^{13}\times (0.44)^{2}](https://tex.z-dn.net/?f=P%2813%29%3D%5Cfrac%7B15%21%7D%7B13%212%21%7D%5Ctimes%20%280.56%29%5E%7B13%7D%5Ctimes%20%280.44%29%5E%7B2%7D)
![P(13)=\frac{15\times 14}{2\times 1}\times (0.56)^{13}\times (0.44)^{2}](https://tex.z-dn.net/?f=P%2813%29%3D%5Cfrac%7B15%5Ctimes%2014%7D%7B2%5Ctimes%201%7D%5Ctimes%20%280.56%29%5E%7B13%7D%5Ctimes%20%280.44%29%5E%7B2%7D)
![P(13)=105\times (0.56)^{13}\times (0.44)^{2}](https://tex.z-dn.net/?f=P%2813%29%3D105%5Ctimes%20%280.56%29%5E%7B13%7D%5Ctimes%20%280.44%29%5E%7B2%7D)
![P(13)=0.0108](https://tex.z-dn.net/?f=P%2813%29%3D0.0108)
The probability that 13 of them were very confident their major would lead to a good job is 1.08%.
Answer:
yor final answer is going to be 59
Step-by-step explanation:
59
Answer:
12 heads
Step-by-step explanation:
if each monster has 47 legs, then there cant be more then 2 monsters because that would be too many legs...and there cant be just 1 monster....because that would leave (106 - 47) = 59 legs....and human legs wont add up to 59....
2 monsters = (2 * 47) = 94 legs........leaving (106 - 94) = 12 legs
each human has 2 legs.......so that means 12/2 = 6 humans.
so we have 2 monsters (each with 47 legs) + 6 humans (each with 2 legs) = 106 legs
so we have 2 monsters and 6 humans....each monster has 3 heads..and if we have 2 monsters, we have (3 * 2) = 6 heads...and if we have 6 humans, we have 6 heads.....so there is a total of 12 heads <====
Step-by-step explanation:
If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.
Step-by-step explanation: 16
the median is also the number that is halfway into the set so you put the numbers in order of smallest to biggest and find the one in the middle