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True or False: The probability a continuous random variable is near some value is defined by its probability density function.  True  False

Size of sample space A six-sided dice is rolled, a five-sided dice is rolled and a three-sided dice is rolled. Considering this as a probability experiment, what is the size of the sample space? An Event In the context of the probability experiment just described (a 6-sided, a 5-sided, and a 3-sided dice thrown): Consider the event in which two face- up numbers on the three dice add to 10. What is the size of this set? Save Reset

X is a discrete random variable with the following PMF: P(X = 1.4) = 0.25 P(X = -9.7) = 0.25 P(X = 10) = 0.5 Find the standard deviation of X.

Write a function my_random that samples a random number from the following discrete probability distribution on the set {8, 9, 13, 15, 17, 18}: P({8}) = ²/ 9 P({9}) = ²/ 18 P({13}) = 1/ P({15}) = P({17}) = ²/ 16 NO P({18})= =

Hypergeometric distribution   Given user defined numbers k and n, if n cards are drawn from a deck, find the probability that k cards are black. Find the probability that at least k cards are black. INPUT 11 7 OUTPUT 0.1628063397551007 0.24927823677714275

5. The probability distribution of discrete random variable X is given by k for x = 1, 2, 3 x +1 P(X = x) %3D

A histogram is plotted to get an idea of the probability distribution for a feature in a dataset. Given the histogram, what would you estimate for the probability that, for a random sample, the feature lies between 2 and 4? 0.175 0.150 0.125 0.100 0.075 0.050 0.025 0.000 0.5 0.125 0.05 0 0.25 -2 -6 8 10

A group of 15 students made up of 9 females and 6 males form a committee of 5 What is the probability the committee is made up of 3 females and 2 males?

TI0713120_AAUP - JENIN) courses / PROBABILITY AND RANDOM VARIABLES Section1 Lecture (20202 n(30%) A discrete random variable U can take the values (-4, 1, 2, 3, 4) with the same probability of 1/5. the variance of V- 3U° is: Select one: O a. 20.4 125.5 Oc 16.7 O d. None of these ఎలిలl DKN• 10%) ihop to REDMI NOTE 9S AI QUAD CAMERA

In a joint probability distribution table for 4 variables (A, B, C, D), how many entries will there be? 4 8 16 32

Suppose the following is a valid probability distribution. Find the value of m. 3 4 6. P(x) 0.05 0.12 0.35 0.32 Select one: a. 0.16 b. cannot be determined C. 0.08 d. 0.84 pe here to search 近

9. Prove the formula: e* ≥ 1 + x, Vx € R. 10. What is the probability that in a random group of 10 people at least two have the same birthday? Consider the experiment: Two fair die are cast and the sum of the spots shown on the uppermost

If the probability of an event is 62%, what is the probability of its complement?

The sample space of a random experiment is (a, b, c, d, e, f, and each outcome is equally likely. A random variable is defined as follows: outcome X с d TEISEER 1.5 1.5 a b 0 2 Determine the probability mass function of X. Use the proba- bility mass function to determine the following probabilities: (a) P(X= 1.5) (b) P(0.5 3) (d) P(0 ≤X<2) (e) P(X=0 or X = 2)

webwork/mcb1007_int_prob stat / mcb1007-hmwrk3 / 4 MCB1007-Hmwrk3: Problem 4 Previous Problem Problem List Next Problem (2 points) The joint probability mass function of X and Y is given by p(1,1)= 0.4 Note: You can earn partial credit on this problem. p(2, 1) = 0.1 p(3, 1) = 0.1 (a) Compute the conditional mass function of Y given X = 3: P(Y = 1|X = 3) = P(Y=2|X = 3) = P(Y = 3|X = 3) = (b) Are X and Y independent? (enter YES or NO) Preview My Answers Submit Answers You have attempted this problem 0 times. You have 10 attempts remaining. p(1, 2) = 0.1 p(2, 2) = 0.05 p(3, 2) = 0.1 Email WeBWork TA p(1,3)= 0.05 p(2,3) = 0.05 p(3,3) = 0.05

You have a sample of data but are unsure what distribution it comes from. You plot it on 5 different types of probability paper to determine which has the best fit. Comparing the 5 different plots, how do you decide which distribution is the best fit? The plot with the straightest line is the best fit The plot with a cluster of values in the middle is the best fit The plot with the most curved line is the best fit The plot which has the values spread out the most is the best fit (response not displayed)

QUESTION 8 The graph shown below exhibits which of the following probability distributions: 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 Uniform Benoulli Binomial Poisson ill. 2 3 1

The probability of event A is 55%. The probability of event B is 40%. The probability that A happens given that B has happened is 25%. What is the probability that both A and B happen? 95% 70% 65% 10% 15%

most computer languages include a function that can be used to generate random numbers. in excel, the rand function can be used to generate random numbers between and . if we let denote a random number generated using rand, then is a continuous random variable with the following probability density function. a. select the probability density function. 1. 2. 3. 4. choose the correct graph from above: - select your answer - b. what is the probability of generating a random number between and (to 1 decimal place)? c. what is the probability of generating a random number with a value less than or equal to (to 1 decimal place)? d. what is the probability of generating a random number with a value greater than (to 1 decimal place)? e. using random numbers given below, compute the mean and standard deviation. 0.931806 0.398110 0.216843 0.826248 0.323101 0.235342 0.105300 0.203744 0.973537 0.181343 0.848380 0.602418 0.013789 0.495464 0.365786 0.027959 0.782500 0.232680 0.913043 0.689042…

The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50. What is the probability that a student uses fewer than 400 minutes?  0 0.023 0.159 0.977

ll Verizon 2:09 PM © 31% Chapter 9 and 10... Chapters 9 & 10 Assignment 1. A coffee machine dispenses coffee into paper cups. On average, 10 ounces of coffee should be dispensed into each cup. However, in a random sample of 20 cups, the mean amount of coffee dispensed was 9.8, with a sample standard deviation of 0.25. Assuming the distribution of ounces of coffee dispensed is Normal, is there evidence that this coffee machine is under-filling cups? Use a 10% level of significance. a. State the null and alternative hypotheses Ho: H1: b. What calculator test will you use? List the requirements that must be met to use this test, and indicate whether the conditions are met in this problem. c. Run the calculator test and obtain the P-value. d. Based on your P-value, will you reject or fail to reject the null hypothesis? e. Interpret your conclusion from part d in the context of this problem. f. If there were a Type I or Type Il error given this sample, what would it be, and what would the…

Let X be a random variable with density function 1) ={0. k(1 -x), if 0<*<1; otherwise. f(x) Find k, together with the expectation and the variance of the random variable Y defined as Y = 3X - 1.

Bowling Stat's D.B W R В — 1 В - 2 В — 3 X%3D В —4 В — 5 4 10 2 27 1 14 13 40 3 5 7 12 2 3 22 37, As you can see, a particular row corresponds to a bowler, while the columns represent the information of overs bowled (O), dot-balls (D.B), wickets taken (W) and runs conceded (R). For example, Bowler (B-2) bowled 3 overs, 5 dot-balls, 3 wickets taken, and 14 runs conceded. Stats for other bowlers are represented by the other rows in a similar fashion. Write a MATLAB® script to compute a) The economy rate for each bowler. (hint: In cricket, a bowler's economy rate is total number of runs they have conceded per over bowled.) b) Which bowler has the lowest bowling average. (a player's bowling average is the number of runs they have conceded per wicket taken. hint: min command with index value will be helpful here). c) The total number of dot balls bowled by all five bowlers. (the sum command with appropriate dimension argument will be helpful here; see sum documentation for further help). d)…