Example: Northwestern University posts the grade distribution for its courses online. Students in Statistics 101in a recent semester received 26% A’s, 42% B's, 20% C’s, 10% D’s, and 2% F's. Choose a Statistics 101student at random. The student’s grade on a four point scale (with A = 4) is a discrete random variable X withthis probability distribution:1. Say in words what the meaning of P(X23) is. What is this probability?2. Write the event "the student got a grade worse than C" in terms of values of the random variable X. What isthe probability of this event?3. Compute the mean of the random variable X. Interpret this value in context.Discrete Random Variable: Variance/Standard DeviationThe standard deviation of a random variable X is a measure of how much the values of the variable typicallyvary from the expected value.XP(X)

Given that : Let X denotes the discrete random variable having 0, 1, 2, 3, 4 Then For x=0.…

Answered: Example: Northwestern University posts…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Similar questions

In a certain country, 47 percent of the population are on a strict diet. In a sample of 20 individuals, what is the probability that exactly 5 individuals are on a strict diet? Select one: O a. 0.1474 O b. 0.0260 O c. 0.1023 O d. 0.0577
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 75 99 79 Male 92 46 67 Distribution of Super Power by Gender What is the empirical probability that a randomly selected superhero will have super strength?
At a certain university, 5% of men are over 6 feet tall and 2% of women are over 6 feet tall. The total population is divided in the men and women ratio of 2:3. If a student is selected at random from among all those over 6 feet tall, what is the probability that the student is a women? a. 0.735 b. 0.573 c. 0.375 d. 0.735
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.
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.
In a survey of 2500 adults 18 year old and older conducted in 2019 adults 18 years old and older, the following question was asked : Is your family income keeping pace with the cost of living ? The results of the survey follow : Falling Staying Don't Answer Increasing behind even know faster Respondents 900 1020 460 120 Determine the probability distribution associated with these data.
3. Construct a probability distribution for the data and draw a histogram for the following: a. A die is loaded in such a way that the probabilities of getting 1, 2, 3, 4, 5, and 6 are 1/2, 1/6, 1/12, 1/12, 1/12, and 1/12 respectively. P(X) b. A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill. P(X)
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
Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. (X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)
Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 73 71 38 Male 61 90 76 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will be able to fly?

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