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1.) In a large on-the-job training program, half of the participants are female and half are male. In a random sample of six participants, what is the probability that an investigator will draw at least two males?† (Round your answer to four decimal places.)
P(X ≥ 2)
2.) The probability that a randomly selected teenager watched a rented video at least once during a week was 0.72. What is the probability that at least 8 teenagers in a group of 10 watched a rented movie at least once last week? (Round your answer to four decimal places.)
P(X ≥ 8) =
3.) Assume that on a standardized test of 100 questions, a person has a probability of 80% of answering any particular question correctly. Find the probability of answering between 78 and 88questions, inclusive. (Assume independence, and round your answer to four decimal places.)
P(78 ≤ X ≤ 88) =
A bill has just been introduced in the Legislature, with wide bi-partisan support, that would create a database for creating a "network" of information by which to track non-documented workers and potential terrorists. The information that would b..
what area can it cover?
With a yearly inflation rate of 7%, prices are given by P=p(1.05)^t, where p is the price in dollars when t=0 and t is the time in years. Suppose p=1. How fast (in cents/ year) are prices rising when t=12?
Describe two main differences between classical and empirical probabilities. Gather coins you find around your home or in your pocket or purse. You will need an even number of coins (any denomination) between 16 and 30. You do not need more than t..
The probability density function for the lifetime of a bulb is f(t) =(1/6) e^{-t/6}, t is less than 0. What is the probability that both of the bulbs will fail within 4 hours?
Describe the graph of the function in terms of a basic trigonometricfunction. Locate the verticle asymptotes and graph two periods
Simplify the integration problem
Evaluate the integral: Where E is the tetrahedron enclosed by the coordinate planes x=0, y=0, z=0 and the plane 2x + y + z = 4.
Explain in your own words what the author of your textbook means by the statement, “If you add percents, you often obtain incorrect results.” Determine other kinds of errors that can contribute to inaccurate percent results.
Park rangers catch, tag, and then release 140 elk back into a national park. One month later, they select a sample of 130 elk, 91 of which are tagged. Assuming the ratio of tagged elk in the sample holds for all elk in the park, approximately how ..
A boat travels 3 km upstream and 3 km back. The time for the round trip is 8 hours. The speed of the stream is 2 km per hour. What is the speed of the boat in still water?
One of the central problems we face in using probability models is obtaining the actual distributions. The true distributions are invariably not known, and we must estimate them for our purposes. How do you go about estimating probabilities when u..
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