28. A continuous probability distribution where all outcomes are equally likely is called: O A. Exponential Distribution O B. Normal Distribution OC. Uniform Distribution O D. Gaussian Distribution
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- Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected 3 Defects 1 4. Probability 0.262 0.299 0.233 0.153 0.037 0.016 ... (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is (Round to one decimal place as needed.)The probabilities that discipline officers will discover violations of the student handbook in a certain school in a quarter are given in the following table. type your answer... Number of Violations (v) 3 0.3100 4 0.1200 5 0.1700 6 0.1200 7 0.1300 8 0.1000 9 0.0500 What is the mean of the probability distribution? (Input answer in 4 decimal places) Previous Probability P(v) NextThe probabilities that discipline officers will discover violations of the student handbook in a certain school in a quarter are given in the following table. Number of Violations (v) Probability P(v) 3 0.3200 4 0.1200 5 0.1700 6 0.1200 7 0.1300 8 0.1000 9 0.0400 What is the mean of the probability distribution? (Input answer in 4 decimal places)
- 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.Suppose that births in a hospital occur randomly at an average rate of 1.9 births per hour. Assume that the probability of a birth is the same for any two time intervals of equal length. a. Which distribution can we use in this case? b. What is the probability that we observe at least 3 births in a 2-hour interval?c. Suppose that births occur randomly in hospital A and hospital B at an average rate of 2.1 births and 3 births per hour, respectively. What is the probability that we observe 7 births in total from the two hospitals in a 1-hour period?Show that the Geometric probability distribution, with parameter p, is a valid discrete probability distribution.
- 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 Y1. Differentiate and explain in detail each of the following continuous probability distributions: a. Continuous Uniform Distribution b. Normal Distribution c. Gamma and Exponential Distributions d. Chi-Squared Distribution e. Lognormal Distribution f. Extreme Value Distributions