4. Imagine that 41 randomly selected Miramar students are asked to measure the length of one
of their feet. Suppose that the sample mean foot length (x) turns out to be 23.4 centimeters and
that the sample standard deviation of the foot lengths turns out to be 5.1 centimeters.
a) Find a 95% confidence interval for ul, the mean foot length among all Miramar students.
(4 pts)
(2 pts each)
b) Would you expect about 95% of all Miramar students to have foot lengths within this
interval? Explain.
€

A25- foot ladder leans against a building and reaches a point of 23.5 feet above the ground .find the angle that the ladder makes with the building

3x = 729 solve for x plz . it's urgent. will mark

When booking personal travel by air, one is always interested in actually arriving at one’s final destination even if that arrival is a bit late. the key variables we can typically try to control are the number of flight connections we have to make in route, and the amount of layover time we allow in those airports whenever we must make a connection. the key variables we have less control over are whether any particular flight will arrive at its destination late and, if late, how many minutes late it will be. for this assignment, the following necessarily-simplified assumptions describe our system of interest: the number of connections in route is a random variable with a poisson distribution, with an expected value of 1. the number of minutes of layover time allowed for each connection is based on a random variable with a poisson distribution (expected value 2) such that the allowed layover time is 15*(x+1). the probability that any particular flight segment will arrive late is a binomial distribution, with the probability of being late of 50%. if a flight arrives late, the number of minutes it is late is based on a random variable with an exponential distribution (lamda = .45) such that the minutes late (always rounded up to 10-minute values) is 10*(x+1). what is the probability of arriving at one’s final destination without having missed a connection? use excel.