Questions from Calculus

Q: During a certain part of the day, an average of five

During a certain part of the day, an average of five automobiles arrives every minute at the tollgate on a turnpike. Let X be the number of automobiles that arrive in any 1-minute interval selected at...

Q: A bakery makes gourmet cookies. For a batch of 4800 oatmeal

A bakery makes gourmet cookies. For a batch of 4800 oatmeal and raisin cookies, how many raisins should be used so that the probability of a cookie having no raisins is .01? [Note: A reasonable assump...

Q: If X is a geometric random variable with parameter p = .

If X is a geometric random variable with parameter p = .9, compute the probabilities p0, … , p5 and make a histogram.

Q: Repeat Exercise 10 with p = .6. Exercise

Repeat Exercise 10 with p = .6. Exercise 10: If X is a geometric random variable with parameter p = .9, compute the probabilities p0, … , p5 and make a histogram.

Q: The quality-control department at a sewing machine factory has determined

The quality-control department at a sewing machine factory has determined that 1 out of 40 machines does not pass inspection. Let X be the number of machines on an assembly line that pass inspection b...

Q: In a certain town, there are two competing taxicab companies,

In a certain town, there are two competing taxicab companies, Red Cab and Blue Cab. The taxis mix with downtown traffic in a random manner. There are three times as many Red taxis as there are Blue ta...

Q: At a certain junior high school, two-thirds of the

At a certain junior high school, two-thirds of the students have at least one tooth cavity. A dental survey is made of the students. What is the probability that the first student to have a cavity is...

Q: Let X be a geometric random variable with parameter p < 1

Let X be a geometric random variable with parameter p < 1. Find a formula for Pr (X < n), for n > 0. [Note: The partial sum of a geometric series with ratio r is given by 1 + r + … + rn-1 = (1 - rn)/(...

Q: Extensive records are kept of the life spans (in months)

Extensive records are kept of the life spans (in months) of a certain product, and a relative frequency histogram is constructed from the data, using areas to represent relative frequencies (as in Fig...

Q: Whenever a document is fed into a high-speed copy machine

Whenever a document is fed into a high-speed copy machine, there is a .5% chance that a paper jam will stop the machine. (a) What is the expected number of documents that can be copied before a paper...