a. Create a binomial probability distribution (table) for this experiment.P(z)O12345b. Calculate the mean of the binomial distribution.c. Calculate the standard deviation of the binomial distribution.σ=слww Indian River State Collge has stated in the 2019-2020 academic year 17% of its students were firstgeneration college students.Suppose you take a random sample of 5 IRSC students and ask if they are first generation college studentsor not, counting the number of first generation students. Use this experiment to answer the followingquestions. Round solutions to four decimal places, if necessary.a. Create a binomial probability distribution (table) for this experiment.TP(x)5b. Calculate the mean of the binomial distribution.fl=wwwO1234LO

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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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Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
The annual premium for a $15,000 insurance policy against the theft of a painting is $200. If the (empirical) probability that the painting will be stolen during the year is 0.01, what is your expected return from the insurance company if you take out this insurance? ..... Let X be the random variable for the amount of money received from the insurance company in the given year. E(X) = dollars %3D
Suppose that 20.56% of all vehicles on the road get a fuel economy of at least 35 miles per gallon (MPG). You conduct an observational study on a stretch of road outside of campus and record the make and model of 727 vehicles over a month long period. What is the probability that greater than 21.1% of the cars you observed get at least 35 MPG? (please show how to plug this into a scientific calculator) Question 4 options: 1) 0.3593 2) 0.5000 3) <0.0001 4) -23.9437 5) 0.6407
Question 6 Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: 0. 1 2 3 6. 7 8. P(X = x) 0.269 0.241 0.149 0.195 0.094 0.031 0.016 0.003 0.002 a. What is the probability that a randomly selected student changed his or her major at least once? b. What is the probability that a randomly selected student changed his or her major at most twice? c. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times? > Next Question W ere to search 80
You have decided that you should become more familiar with random variables and probability. You first roll a 20-sided die. What is the probability of observing a 10 on any given roll of the die? Respond with an answer to the second decimal point, that is, 0.09 instead of 0.10.
In an election, suppose that 55% of voters support a new tax on fast food. If we poll 123 of these voters at random, the probability distribution for the proportion of the polled voters that support a new tax on fast food can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places.
3. For each experiment, fill in the blank with the letter for the probability histogram that corresponds to the quantity indicated. Experiment 1: A gambling game has a 30% chance of winning $2 and a 70% chance of losing $1. We play the game 100 times and keep track of the net amount won or lost. Experiment 2: We flip a coin 40 times and keep track of the number of heads. 0.08 90'0 0.12 0.08 0.04 000 0 0 20 10 40 20 60 8 80 30 (a) 100 (c) (e) 40 0.00 0.012 0.008 1000 0000 -100 -50 -100 -50 0 0 50 T 50 (b) 100 150 200 30 (d) (f) 100 150 200
In an election, suppose that 35% of voters support a school levy increase. If we poll 220 of these voters at random, the probability distribution for the proportion of the polled voters that support a school levy increase can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places .
A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05
A genetics experiment involves offspring peas in groups of four. A researcher reports that for one group, the number of peas with white flowers has a probability distribution as given in the accompanying table. P(x) 0.04 1 0.18 0.58 3 0.16 4 0.04 What is the standard deviation? O a. 1.368 O b. 0.8122 O c. 1.615 O d. 2.018
Question 13 Use the following probabilities to answer the question. Round to 4 decimal places. P(A) = 0.4, P(B) = 0.55, P(A and B) = 0.05. %3D P(B| A) = Submit Question
The helght of all the people in your neighborhood. QUESTION 6 The Sarasota Police department collected data on the number of car accidents ( X ) that occur each day on a certain stretch of route 41. From this data, they derived the probability distribution shown in the table below. P(X) 0.80 1 0.15 0.05 What is the expected mean (average) number of accidents that occur each day? 0.50 0.25 0.33 1.00 Hal Saveand Submit to saue and submit Click Save All Ansm e Type here to search

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