Answer:
![(D)E[ X ] =np.](https://tex.z-dn.net/?f=%28D%29E%5B%20X%20%5D%20%3Dnp.)
Step-by-step explanation:
Given a binomial experiment with n trials and probability of success p,


Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:

Now,

Substituting,

Factoring out the n and one p from the above expression:

Representing k=x-1 in the above gives us:

This can then be written by the Binomial Formula as:
![E[ X ] = (np) (p +(1 - p))^{n -1 }= np.](https://tex.z-dn.net/?f=E%5B%20X%20%5D%20%3D%20%28np%29%20%28p%20%2B%281%20-%20p%29%29%5E%7Bn%20-1%20%7D%3D%20np.)
The scale factor is 3 as the lengths in the bigger triangle when divided by 3 gives the lengths in the smaller triangle
Meanings of inequalities :
< less than
> more than
= equal
convert both fractions to their common denominators , which is 40.
7/2/5 = 7/16/40
7/3/8 = 7/15/40
as you can see, 7/2/5 is bigger. thus the answer is > .
Answer:
1/8 (Decimal: 0.125)
Step-by-step explanation:
Given:
Speed = 6 miles per second
If the Saturn revolves 6 miles in 1 second then the speed is:

So speed in minutes is 360 miles per min.
In 3 minutes traveling distance is: