Q1. (a) What is the probability of exactly no heads in tossing a coin two times.(b) Consider the following two-way classification table of employee responses on smokingstatus in a company.Smoking statusGenderYesNoTotalMale156075Female20252080100TotalCompute the following probabilities:(i)P(Female |Yes)(ii)P(Yes and No)

Answered: Image /qna-images/answer/53b0deab-54de-4a12-ad46-550669903b9b.jpg

Answered: Q1. (a) What is the probability 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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The following probability model shows the number of cars owned by American households, along with the probabilities associated with owning each number of cars. If we select a household at random, what is the probability this household will own at most two cars? Number of cars owned 0 1 2 3 4 5 6 or more Probability 0.13 0.31 0.26 0.19 0.07 0.03 0.01 Group of answer choices 0.26 0.70 0.44 0.33 0.56
In a certain school, the probabilities of the number of students who are reported tardy are shown in the following table: Number tardy: 2 3 4 Probability: 0.17 0.25 0.31 0.21 0.06 What is the expected number of tardies (rounded to two decimal places)?
6. Historically, a given day at the beginning of March in upstate New York has a 18% chance of snow and a 12% chance of rain. If there is a 4% chance it will rain and snow on a day, then which of the following represents the probability that a day in early March would have either rain or snow? (1) 0.30 (3) 0.02 (2) 0.34 (4) 0.26
All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in a country. Blood type A National probability 0.43 0.12 AB ? (a) What is the national probability of type AB blood? O 0.41 (b) Maria has type B blood. She can safely receive blood transfusions from people with blood types O and B. What is the probability that a randomly chosen person from this country can donate blood to Maria?
A survey was being conducted to learn about attitude of a certain population towards the medical and housingplans. The survey asked the male and female respondents that how important the level of risk they had felt inchoosing a housing or a medical plan. The following table was constructed from the data provided. “High”means the respondent said level of risk was either important or very important. Male FemaleHigh 22 27Low 28 23 3 (b) List some possible events from the above random experiment. 3 (c) What is the probability of a survey respondent had said that the level of risk isHigh? Write the sample space of this random experiment. Suppose if a female respondent is selected randomly, what is the probability thisfemale respondent had said level of risk is High?
(a) 13% of customers at the snack counter of a movie theater buy soft drinks. 42% also purchase popcorn. Among those who buy soft drinks, (i) What is the probability that a customer at the counter buys a drink and popcorn? Theaters use this type of calculation to decide which products should be bundled to appeal to Based on the probability so calculated, what is your recommendation customers. Whether to bundle the products or not? (ii) If the proportion of customer who buys popcorn is 57% . Then find the probability that a customer will buy a popcorn or a soft drink?
3. Some parts of California are particularly earthquake prone. Suppose that in one metropolitan area, 25% of homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let Y be the number among the four that have earthquake insurance. (a) Find the probability distribution of Y. (b) Draw the corresponding probability histogram. (c) What is the most likely value for Y? (d) What is the probability that at least two of the four selected have earthquake insurance?
Canada has two official languages, English and French. Choose a Canadian at random and ask, "What is your mother tongue?" Here is the distribution of responses, combining many separate languages from the broad Asian/Pacific region. Language English French Asian/Pacific Other Probability 0.58 0.23 0.05 ? (a) What probability should replace "?" in the distribution? (b) What is the probability that a Canadian's mother tongue is not English?
Tanisha made the following two-way table about the color and pattern of the socks she owns. White Yellow Red Total Patterned 4 10 20 Solid 16 2 24 Total 20 12 12 44 What is the probability that one of Tanisha's socks is patterned given that it is red? 0.833 0.500 0.200 0.727
A sample of 200 new cars were checked for defects. The following table shows the results of the study. Fewer than Six Defects Six or More Defects Total American Built 57 65 122 Foreign Built 36 42 78 Total 93 107 200 One car is selected at random. Round your answers to two decimals. (a) What is the probability a randomly selected car was American built? (b) What is the probability that a randomly selected car had fewer than six defects, given that it is foreign built? (c) What is the probability that a randomly selected car was American AND had six or more defects? (d) What is the probability that a randomly selected car was American OR had six or more defects?

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