Recent content by francisg3

The probability density function of the time customers arrive at a terminal (in minutes after 8:00 A.M) is f(x)= (e^(-x/10))/10 for 0 < x c) Determine the probability that: two or more customers arrive before 8:40 A.M among five that arrive at the terminal. Assume arrivals are...

Thanks for the quick reply!

a congested computer network has a 0.002 probability of losing a data packet and packet losses are independent events. a lost packet must be resent. a) what is the probability that an e-mail with 100 packets will need any resent? i know the answer is P= 1-(1-0.002)^100 however i...

Consider the regular gramma G1 (seen below as S1) and the grammar G2 (seen below as S2). Give a left-linear grammar of L(G1) U L(G2) S1->abA A->baB B->aA | bb S2->AS2 | λ A->aaB B->bB | ab I know that S1 is a regular right-linear grammar which can be changed into a left-linear...

L={vwv : v,w elements of {a,b}* and |v| =2} I know that "v" can take either aa, ab, ba or bb as values. I also know that "w" can be any string containing "a" and "b". Overall, I know that the two first and two last characters must be identical. How would I show this in a DFA or even an NFA...

Suppose L\sum* = L for an alphabet \sum . What can we say about the possible strings in L? I know that the \sum* is a collection of all possible words of a language and I know that 'L' is a subset of \sum* . So L concatenated with \sum* needs to be equivalent to L. I am stumped.

The roof of a silo is made by revolving the curve y=10 cos(πx/10) from x=-5m to x=5m about the y-axis. The surface area S, that is obtained by revolving a curve y=f(x) in the domain from 'a' to 'b' around the y-axis can be calculated by (see attached picture for integral) I found y'=-π...

I know I double posted, realized that this was not homework/coursework section but I don't know how to delete a post. Sorry.

so the resulting integration would be: -α ln (μ -α) evaluated at 0 and 't' correct?

so the resulting integration would be: -α ln (μ -α) evaluated at 0 and 't' correct?

so i just differentiate with respect to μ?

I need to solve the following problem for a school assignment. Let λ(t) denote the failuer rate of a system at time 't'. The failure rate is simple the number of failures in unit time. For example, if the unit time is one day, then λ is the average of failures per day. Let μ(t) denote the...

I need to solve the following problem for a school assignment. Let λ(t) denote the failuer rate of a system at time 't'. The failure rate is simple the number of failures in unit time. For example, if the unit time is one day, then λ is the average of failures per day. Let μ(t) denote the...

This is part of a bigger problem, I need to find an expression in terms of θ for the expression below. 1. x=(2r sin⁡θ)/3θ where x=r/2 2. r/2=(2r sin⁡θ)/3θ 3. r=(4r sin⁡θ)/3θ 4. 1=(4 sin⁡θ)/3θ 5. 1/4= sin⁡θ/3θ 6. 3θ/4= sin^-1(θ) I don't know where to go from there. All...

Had a recent homework questions: Find a bound for the error |f(x)-P3(x)| in using P3(x) to approximated f(x) on the interval [-1/2,1/2] where f(x)=ln(1+x) abd P3(x) refers to the third-order Taylor polynomial. I found the Taylor series of f(x) seen below: x- x^2/2!+(2x^3)/3! I know...