The CDF of Random variable W is below. Find: a) What is P[W≤4] b)What is P[-20] d) What is the value of a such that P[W≤a] = 1/2
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The CDF of Random variable W is below. Find:
a) What is P[W≤4]
b)What is P[-2<W≤2]
c) What is P[W>0]
d) What is the value of a such that P[W≤a] = 1/2
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- Assume that random guesses are made for six multiple choice questions on an SAT test, so that there are n=6 trials, each with probability of success (correct) given by p=0.25. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.A student forgot to prepare for a quiz. There are three True/False questions in that quiz. The student decide to flip a coin and randomly give an answer to each question. Head for True and tail for False. This is a fair coin, so the probability to flip a head is 0.5. Suppose we use X to denote the number of True/False questions this student answered correctly. 1. What type of variable is X? a) A discrete random variable b) A continuous random variable c) A normal random variable 2, . What's the probability that the student got all three questions correct? a) (0.5)(0.5)(0.5) b) 3(0.5)(0.5)(0.5) c) 0.5 3. What's the probability that the student only got one of the three questions correct? a) 3(0.5)(0.5)(0.5) b) (0.5)(0.5)(0.5) c) (0.5)(0.5) d) 0.5 4. What's the expected value of X? a) 3(0.5) b) 2 c) 1 d) 3 5. If the True or False questions worth 2 points each, what's the expected points earned by this student from those three True or False questions? a) 3 b) 6 c) 2 d) 0.5The random variable X takes on the values of 2, 5, n, and 15. The probability distribution of X is shown in the following table. The expected value of X is 9.1. What is the value of n ? A) 8 B) 8.52 C) 10 D) 12 E) 14.4
- Suppose that the response time X of a subject to a stimulus is N(15, 16). If n-16, then the probability of the sample mean greater than 12 is: a. 0.9772 Ob. 0.9987 Oc. 0.0013 Od. 0.7899A probability experiment is conducted in which the sample space of the experiment is S={6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17), event F = {10, 11, 12, 13, 14, 15), and event G = {14, 15, 16, 17). Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. List the outcomes in F or G. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. For G= (Use a comma to separate answers as needed.) OB. For G = {})Consider a multinomial distribution with three possible outcomes. The distribution of X¡ is binomial with parameters K, K-k¡ and k. Give both analytical and probabilistic proofs.
- Suppose T and Z are random variables. a. If P(T> 2.82) = 0.06 and P(T 0.84)=P(Z 0.84). a. P(-2.82 ≤ T ≤ 2.82)= w an example Get more help Question 7, 5.1.22 > Part 1 of 2 27 I PISS tv MAGDetermine the distribution of the random variable X and sketch its graph. for a E (-00, -1) x € [-1, }) for e € [},2) 品 for for a) F(x) = x € [2, ) æ € },+) 17 20 for too) 1Assume that random guesses are made for ninemultiple choice questions on an SAT test, so that there are n=9trials, each with probability of success (correct) given by p=0.4Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.
- A sampling distribution contains four possible values for the sample means. Three of the four probabilites are 0.17, 0.3, and 0.3. The remaining probability a) is 0.17 b) is 0.43 c) is 0.23 d) cant be determined without knowing the sample sizeA probability experiment is conducted in which the sample space of the experiment is S = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16), event F = {9, 10, 11, 12, 13, 14), and event G = (13, 14, 15, 16). Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. List the outcomes in F or G. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. For G={} (Use a comma to separate answers as needed.) B. For G = {}If a number is chosen from a set of three-digit numbers, what is the probability that the number is divisible by 5?
