Which of the following statements are true? There may be more than one true statement; check all that are true. Question 4 options: a) The uniform distribution is the most commonly used distribution when modelling real-world variables such as weights of birds, tread wear of tires, heights of students, etc. b) For any continuous random variable X, P(a < X < b) is found by subtracting the height of the curve at a from the height of the curve at b. c) The probability density function for a continuous random variable () can never have a negative value. d) For the normal distribution, the mean and variance are always equal.

Here, we have given four statements which may or may not be true , then we have to identify the…

Answered: Which of the following statements are…

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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State, with reasons, which of the standard distributions might serve as models for: i. The number of particles emitted in 10 second intervals by a sample of radioactive material. ii. The number of times individuals take their driving test before passing. Indicate which conditions supporting the distribution may not be satisfied in each case.
Are phone calls equally likely to occur any day of the week? The day of the week for each of 420 randomly selected phone calls was observed. The results are displayed in the table below. Use an a = 0.05 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Phone Calls for Each Day of the Week Outcome Frequency Expected Frequency Sunday 61 Monday 70 Tuesday 69 Wednesday 50 Thursday 40 Friday 64 Saturday 66 b. What is the correct statistical test to use? Select an answer ✓ c. What are the null and alternative hypotheses? Ho: The distribution of phone calls is not uniform over the days of the week. Phone calls and days of the week are dependent. Phone calls and days of the week are independent. O The distribution of phone calls is uniform over the days of the week.
Which of the following is a true statement? A. The expected value is the most frequently occurring value of the random variable. B. Variance is always >=0 C. Variance can be negative D. F(x)=P(X=x)
ASAP
Question 5 Suppose that the random variables X₁,..., X and Y₁,...,Y, are random sample from independent normal distributions N(3,8) and N(3,15), respectively.
question 8
The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose a = 2.6 and B = 220. (a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round your answers to five decimal places.) at most 250 less than 250 more than 300 0.7520 0.7520 0.1065 x X X (b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.) 0.6312 (c) What value (in hr) is such that exactly 50% of all specimens have lifetimes exceeding that value? (Round your answer to three decimal places.) 191 Xhr
10. STATEMENTS FIRST: THE SYMBOL FOR POPULATION MEAN IS X̄ SECOND: THE SYMBOL USED TO REPRESENT SAMPLE VARIANCE IS S 2 A. IF BOTH STATEMENTS ARE TRUEB. IF BOTH STATEMENTS ARE FALSEC. IF THE FIRST IS TRUE AND THE SECOND IS FALSED. IF THE FIRST IS FALSE AND THE SECOND IS TRUE 11. STATEMENTS FIRST: IF A DISTRIBUTION HAS TWO MODES, IT IS KNOWN AS MULTIMODAL SECOND: IF EACH DATA APPEARED ONCE ONLY, THEN THE MODE IS 0 A. IF BOTH STATEMENTS ARE TRUEB. IF BOTH STATEMENTS ARE FALSEC. IF THE FIRST IS TRUE AND THE SECOND IS FALSED. IF THE FIRST IS FALSE AND THE SECOND IS TRUE12. STATEMENTS FIRST: SPREAD IS ANOTHER TERM FOR THE MEASURE OF DISPERSION SECOND: VARIANCE IS THE MOST RELIABLE MEASURE OF DISPERSION A. IF BOTH STATEMENTS ARE TRUEB. IF BOTH STATEMENTS ARE FALSEC. IF THE FIRST IS TRUE AND THE SECOND IS FALSED. IF THE FIRST IS FALSE AND THE SECOND IS TRUE
Find the m.g.f of uniform distribution and hence find its mean and variance.
A school district has a standardized test that it uses to determine placement into special classes. The superintendent is looking to determine whether male and female students have different scores on the test. The scores for a random sample of 25 male students and 25 female students are recorded. Assume that the scores are normally distributed for both male and female students. Let the male students be the first sample, and let the female students be the second sample. Is there enough evidence, at a = 0.01 to show a difference between male and female scores? Identify the degree of freedom and the critical value(s) to be used for this hypothesis test. Do not round; use the exact value from the t-table. Degree of freedom = Provide your answer below: Critical Value(s) = Males Females x1 = 168x2 = 171 $1 = 14 $2 = 17 n1 = 25 n2 = 25 Probability Degrees of Freedom 23 24 25 26 27 28 29 0.10 0.05 0.025 0.01 0.005 1.319 1.714 2.069 2.500 2.807 1.318 1.711 2.064 2.492 2.797 1.316 1.708 2.060…

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