1. One hundred persons were asked, "Do you favour regional integration?". Of the 35 thatanswered "no" to the question, 14 were female. Of the 65 that answered "yes" to thequestion, 30 were female.a) Draw a completed contingency table, showing totals, to illustrate the informationabove.b) If one person was randomly selected, what is the probability that the person is:(i) female?(ii) female or responded "no"?(iii) female given that they responded "no"?2. Sixty percent (60%) of Students of the Reginal College were took French. Fifteen (15)were randomly and independently sampled.a) Calculate the probability that at most 2 out of the 15 randomly selected students tookFrench.b) of the 15 students, how many do you expect to take French.3. Table 1 below shows the probability distribution of hurricanes that have made landfall inthe Caribbean. The random variable, X, is the category of the hurricane. Category 1 is theweakest hurricane level while category 5 is the strongest.Table 130.131P(X=x) 0.41X20.3440.075*a) Find the value of '*'.b) Find the expected category of hurricane to make landfall, E(X).c) What is the probd) Calculate the variance.that a Catego 4 or stronger hurricane will make landfall?

It seems you have submitted 3 different questions, as per the guidelines I can solve the first one.…

Answered: 1. One hundred persons were asked, "Do…

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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You are planning a sample survey of small businesses in your area. You will choose an SRS of 150 businesses listed in the Yellow Pages. Experience shows that only half of the businesses you contact will respond. We consider each response as a success. a) What is the mean number who respond to this survey? b) What is the probability that 70 or fewer will respond? c) How large a sample must you take to increase the mean number of respondents to 100?
I would need help with this question:Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 50% Hispanic.a). How many jurors would you expect to be Hispanic?b). The select process produces a jury with 1 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal placesc). Use the binomial distribution and find the probability that 1 or fewer jurors would be Hispanic.d). Create a graph of the distribution with the area corresponding to the previous answer shaded in. Choices for creating a graph include: Excel, Binomial Distribution Calculator (in resources menu), TI-84 (take a pic), hand drawn, other software, websites. Upload your finished graph below.
5. The probability that Stu doesn't do his homework is 3/4. The probability that his teacher collects the assignment is 4/5. a. Draw a tree diagram or chart illustrating all possible outcomes. (Stu either does, or doesn't do his homework. The teacher either collects, or doesn't collect the assignment.) b. What is the probability that Stu doesn't do his homework and gets away with it? (Assume he doesn't look guilty when he doesn't do his homework.) c. Given that the teacher collected the homework, what was the probability that Stu did not do his homework?
13. Find the probability of rolling a number less than 6 on a six-sided dice. Answer the following questions. a. What are the number of events for rolling a number less than 6? b. What isſthe number of outcomes in the sample space? c. Calculate P (less than 6) using the formula P(E) = e Show your work in the n(S) space provided below. Show your work here:
There are four colors in a bag containing 500 plastic chips. It is known that 28% of the chips are green. On average, how many chips from a random sample of 50 (with replacement) would be expected to be green? Group of answer choices a) 18 b) Not enough information to determine expected value. c) 14 d) 28
b) A certain pay television company wishes to estimate the proportion of its customers who would purchase a pay television program guide. To do this, the company manager decides to select a random sample of customers and note the number who would purchase a program guide. Suppose that experience in other areas suggests that about 13% of customers will purchase a program guide. How many customers should the company manager include in his sample if he wishes to estimate the true proportion who will purchase the program guide correct to within 5% (0.05) with a confidence level of 95%?
Suppose on a sample of Montanans it is found the mean salary is equal to 30,000. When we use a statistic like this to simply describe a sample, this is an example of: a) an inferential statistic b) a descriptive statistic c) a sample median d) random sampling e) b and c

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