An internet service provider uses 50 modems to serve the needs of 1000 customers. it is estimated that at a given time. each customer will need a connection with probability 0.010.01 , independent of the other customers. what is the pmf of the number of modems in use at the given time? repeat part (1) by approximating the pmf of the number of customers that need a connection with a poisson pmf. what is the probability that there are more customers needing a connection than there are modems? provide an exact, as well as an approximate formula based on the poisson approximation of part (2).

Ataxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile, or f = $2.25 + $0.20(m - 1) where f is the fare and m is the number of miles. if juan's taxi fare was $6.05, how many miles did he travel in the taxi? if juan's taxi fare was 7.65, how many miles did he travel in taxi

Find the value of x for which the lines are parallel.

Lems1. the following data set represents the scores on intelligence quotient(iq) examinations of 40 sixth-grade students at a particular school: 114, 122, 103, 118, 99, 105, 134, 125, 117, 106, 109, 104, 111, 127,133, 111, 117, 103, 120, 98, 100, 130, 141, 119, 128, 106, 109, 115,113, 121, 100, 130, 125, 117, 119, 113, 104, 108, 110, 102(a) present this data set in a frequency histogram.(b) which class interval contains the greatest number of data values? (c) is there a roughly equal number of data in each class interval? (d) does the histogram appear to be approximately symmetric? if so,about which interval is it approximately symmetric?