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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Answered: Indian River State Collge has stated in…

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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ll 36 l 12% 7 15:04 4G .. Question One: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute the entire probability distribution and plot it. (b) Compute and plot the probability distribution for a sample of 5 items taken at random from a production process known to produce 30% defective items.
Suppose we are interested in the relationship between an individual's brown hair and skin color. Based on a random sample of LIU students, we have the following joint probability distribution given by: X-degree of brown hair color 2 3 4 0.12 0.01 0.05 0.07 0.07 0.12 0.09 0.16 Y- degree of skin color 2 0.12 3 0.16 | 0.03 The probability that an individual with degree of brown hair 2 has a degree of skin color 1 is: None of these 0.263 0.167 0.3
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.
Consider the experiment of tossing a balanced coin until the first head is observed. 1. What is the most appropriate probability distribution to use?A. BernoulliB. binomialC. geometricD. negative binomial2. How many times would you expect to toss the coin in order to obtain the first head? A. 0.5B. 1.0C. 2.0D. 6.63. Suppose you want to observe three heads. What is the probability that three heads will be observed within five tosses?A. 0.0313B. 0.1563C. 0.1875D. 0.31254. How many times would you expect to toss the coin in order to obtain three heads?A. 3B. 6C. 7D. 10
Two six-sided dice are rolled and the random variable x is the sum of the values produced by each die. a. List the possible outcomes for the variable x, determine the probability for each outcome, and calculate the expected value of x. b. Calculate the variance of x. c. Calculate the standard deviation of x. a. List the possible outcomes for the variable x. Choose the correct answer below. O A. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 О В. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ОС. 1,2, 3, 4, 5, 6 O D. 3, 4, 5, 6, 7, 8, 9, 10, 11 Determine the probability for each outcome. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or fractions.) O A. P(1) =. P(2) = P(3) = P(4) = P(5) = P(6) = О В. Р/2)- P(3) = , P(4) = , P(5) = P(6) = P(7) = P(8) = P(9) = , P(10)= P(11) = P(12) = %3D O C. P(3) = P(4) = , P(5) = , P(6) = ,P(7) = P(8) = P(9) = P(10) = P(11) = O D. P(1)= , P(2) = , P(3) = P(4) = , P(5) = P(6) = P(7) = P(8) = P(9) = P(10) = P(11) = P(12)…
Find the mean and variance of the following discrete random variable distribution.? ?(?)0 0.35 1 0.45 2 0.16 3 0.04
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
Susan collects data on three random variables, X, Y, and Z. She plots histograms of her data to help her decide which probability distribution is likely to be most suitable for each of these three random variables. (a) Based on the histogram below, which of the following distributions; Bernoulli; discrete uniform; continuous uniform; normal or exponential distribution is the most likely distribution for the random variable X? Abuanbaug 250 Frequency 200 150 100 (b) Based on the histogram below, which of the following distributions; Bernoulli; discrete uniform; continuous uniform or exponential distribution is the most likely distribution for the random variable Y? 120- 100 Histogram of X 20 Histogram of Y
both questions please. thank you!

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