Homework 5: Consider the problem of missile firing. Enumerate the possible outcomes of trailfiring of missiles. Lets S denote the success of each trail with probability p and F denote the failurewith probability q=1-p, then there are, 2 possible outcomes s listed below as set U, the completesample space.

Given: Two possible outcomes S: Success = p F: Failure = q There are 24 = 16 possible cases…

Answered: Homework 5: Consider the problem of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1. Of all freshman at a Snow college, 16% made the dean's list in the current year. As part of a class project, students randomly sample 40 freshman and check if those students made the list. Calculate the probability your sample has more than 8 students from the dean's list. Check conditions (if one doesn't check out, note your concern and continue anyway), describe sampling distribution, state probability.
A container contains 15 diesel engines. The company chooses 8 engines at random, and will not ship the container if any of the engines chosen are defective. Find the probability that a container will be shipped even though it contains 2 defectives if the sample size is 8. The probability the container will be shipped is (Round to the nearest thousandth as needed.)
students were assigned a quiz that contains 7 independent multiple-choice problems. Each problem was worth 1 point and has 4 choices, where only one of them is correct. A pirate, who does not understand probability and statistics, disguises himself as a clever student and tried to pass one of the quizzes. Unlike our students, he is not able to solve the problems and, thus, decides to randomly choose an answer for each problem. Let X be a random variable representing the score of the pirate on the FIRST problem of the quiz. What distribution does X follow?
A couple has 3 children. Write out the sample space of genders for their children in order of birth, and find the probability that they have exactly 2 boys. (Assume that boys and girls are equallylikely.)
There are 5 white mice and 3 gray mice in a cage. Three mice are selected at random and their colors are noted. Find the expected number of white mice. Round your answer to 2 decimal places
A multiple-choice test consists of 6 questions. Each question has answer choices of a, b, c, d, and e, and only one of the choices is correct. If a student randomly guesses on each question, what is the probability that he gets fewer than 2 of them correct? Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places.
Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes. A man is shopping for a new patio umbrella. There is a 7-foot and a 12-foot model, and each is available in black, forest green, and rust. (a) He buys a 12-foot forest green umbrella. (b) He buys a 7-foot umbrella. (c) He buys a black-colored umbrella. (a) He buys a 12-foot forest green umbrella. The probability is. (Type a simplified fraction.)
Information is provided for 3 different ways of getting from home to work in the morning. From A way: μA =34 minutes, 4-5.4 minutes; From B way: μ=31 minutes, 4-2 minutes; From C way: μ =32 minutes, 4-4 minutes. Which route should someone with 29 minutes of time take? Hint1. Define the commute time as a random variable X. Hint2. Use normal probability table. O a. B O b. A O c. Bor C O d. C O e. A or B
When each member of the population has an equal probability of being chosen, the sampling method is called
4- In a hospital unit there are 12 nurses and 7 physicians. 6 nurses and 4 physicians are female. If a staff person is selected, find the probability that subject is a nurses or male. Do the sample space.

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