The natural remedy echinacea is reputed to boost the immune system, which will reduce flu and colds. A 6-month study was undertaken to determinewhether the remedy works. From this study, the following probability distribution of the number of respiratory infections per year (X) for echinacea userswas produced:34P(X) 0.339 0.327 0.203 0.072 0.059Find the following probabilities:A. An echinacea user has more than one infection per yearB. An echinacea user has no infections per yearC. An echinacea user has between one and three (inclusive) infections per year

The given probability distribution table contains 5 observations and their probabilities. We have to…

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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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A local TV station employs Desmorelda, “Mistress of the Zodiac”, as its weather forecaster. She predicts a rainy day on the basis of Lunar phases. From statistical data (which is available to Desmorelda too) it is known that the probability of a rainy day during the Full Moon is 0,478, during the Third Quarter – 0,513, during the New Moon – 0,499, and during the First Quarter – 0,506. All phases last equally and the whole Lunar cycle takes 28 days. What is the probability that on a certain day Desmorelda will predict rain?
Given the following probabilities, which event is least likely to occur? P(A) = 1/5 P(B) = 0.23 P(C) = 25% P(D) = 1/3
Definition of Complement (in probability) - A number is drawn between 1 and 50, inclusive. What is the probability that a randomly selected number will not be a multiple of 5? Give your answer as a simplified fraction. “At least one is the complement of ______.” A card is drawn from a standard deck of 52 cards, and then replaced in the deck. Find the probability that at least one king is drawn by the fourth draw. Round your answer to two decimal places. Do not round until your final calculation. A person chooses a single number in a set containing the numbers from 1 to 50. Find the set representing the event E of choosing a number that is a multiple of 12. Give your answer as a set, using { }. E = Sarah has 25 pens but only brings three to class. What is the size of the sample space in this experiment? A person rolls two dice. What is the sample space in this experiment? Use { }. Sample Space = Expected Value -
In looking over customer data for your local ice cream shop, you estimate the following probabilities about what customers order: P(vanilla) = 0.4 P(sundae) = 0.4 P(vanilla and sundae) = 0.1 What is the probability that a customer order vanilla ice cream given they ordered a sundae? Estimate your answer to the first decimal place.
A mother and father with normal color vision have six male children, two of whom exhibit red- green colorblindness. Their five female children all exhibit normal color vision. Ignoring the fact that these parents ought to seek some family planning advice, what is the probability that their 12th child will be another colorblind boy? (Hint: colorblindness is an X-linked trait in humans.) Select one: a. 1/6 b. 1/4 c. 1/3 d. 1/8 e. 1/2
The natural remedy echinacea is reputed to boost the immune system, which will reduce flu and colds. A 6-month study was undertaken to determine whether the remedy works. From this study, the following probability distribution of the number of respiratory infections per year (X) for echinacea users was produced: 3 4 1 2 P(X) 0.342 0.323 0.203 0.074 0.058 Find the following probabilities: A. An echinacea user has more than one infection per year B. An echinacea user has no infection per year C. An echinacea user has between one and three (inclusive) infections per year
In an inspection of automobiles in a certain Country, 60% of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: a. All 10 automobiles failed the inspection. b. Exactly 6 of the 10 failed the inspection. c. Six or more failed the inspection. d. All 10 passed the inspection.
A study published in 2012 concluded that 33 percent of the patients on Prednisone, a medication used for the treatment of various allergic disorders, suffered adverse effects. If 90 patients with allergic disorders are selected randomly and administered Prednisone, what is the approximate probability that at most 20 of them will suffer adverse effects? 0.022 0.330 0.670 0.015 0.042
The accidents that occur in a manufacturing company were classified by severity (strong, moderate and mild) and by sex with the following characteristics: 40% of the accidents were strong and 30% were moderate. Women suffered 20% of the accidents. Of the total number of serious accidents, men suffered 85.5% of the accidents. Similarly, of the total moderate accidents, women suffered 45% of the accidents. Calculate the following probabilities:- If a woman suffered an accident, what is the probability that it was minor?- If a man suffered an accident, what is the probability that he is strong?
A survey asking mobile phone users how long they would wait for a page to load found the following results. Find the probabilities that a person would wait the following amounts. Time (Seconds) Percentage 20 20%

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