elaine's mother is now 38 years old. seven years from now she will be five times as old as elaine will be then. write and solve
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Answer:
A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.
a. Compute the probability that 2 or fewer will withdraw (to 4 decimals).
= 0.0355
b. Compute the probability that exactly 4 will withdraw (to 4 decimals).
= 0.1304
c. Compute the probability that more than 3 will withdraw (to 4 decimals).
= 0.8929
d. Compute the expected number of withdrawals.
= 6
Step-by-step explanation:
This is a binomial problem and the formula for binomial is:
a) Compute the probability that 2 or fewer will withdraw
First we need to determine, given 2 students from the 20. Which is the probability of those 2 to withdraw and all others to complete the course. This is given by:
Finally, the probability that 2 or fewer students will withdraw is
b) Compute the probability that exactly 4 will withdraw.
c) Compute the probability that more than 3 will withdraw
First we will compute the probability that exactly 3 students withdraw, which is given by
Then, using a) we have that the probability that 3 or fewer students withdraw is 0.0355+0.0716=0.1071. Therefore the probability that more than 3 will withdraw is 1 - 0.1071=0.8929
d) Compute the expected number of withdrawals.
E(X) = 3/10 * 20 = 6
Expected number of withdrawals is the 30% of 20 which is 6.
The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 /2!+...........
Given a function f(x)=9/x,a=-4.
We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.
The taylor series of a function f(x)=
Where the terms in f prime (a) represent the derivatives of x valued at a.
For the given function.f(x)=8/x and a=-4.
So,f(a)=f(-4)=8/(-4)=-2.
(a)=
(-4)=-8/(
=-8/16
=-1/2
The series of f(x) is as under:
f(x)=f(-4)+
=-2+2(x+4)/1!-24/16 /2!+...........
Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 /2!+...........
Learn more about taylor series at brainly.com/question/23334489
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