X Frequency
0 110 What is the probability that a random variable X selected at random is more than 2? Is it unusual?
1 36
2 30
3 10
4 8
5 6
X Frequency 0 110 What is the probability that a random variable X selected at random...
In the probability distribution to the? right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. x P(x) 0 0.1665 1 0.3356 2 0.2873 3 0.1481 4 0.0366 5 0.0259 (1) Compute and interpret the mean of the random variable X. (2) Which of the following interpretations of the mean is? correct? A. In any number of? games, one would expect the mean number of hits per...
5. Use the frequency distribution to the right, which shows the number of voters (in millions) according to age, to find the probability that a voter chosen at random is in the given age range. not between 18 to 20 years old. The probability is __. (Round to three decimal places as needed.) Ages of voters FrequencyFrequency 18 to 20 5.9 21 to 24 11.9 25 to 34 21.7 35 to 44 24.9 45 to 64 51.8 65 and over...
or a large population of people, the probability distribution for the random variable X = the number of meals a person ate yesterday and the assigned probabilities is given below: Meals, X 1 2 3 4 5 Probability 0.19 0.35 0.26 0.15 ? a) Find P(X = 5), the probability that a randomly selected person ate 5 meals yesterday. P(X = 5) = (b) Find P(X 2), the probability that a randomly selected person ate 2 or fewer meals yesterday. P(X 2)...
please help with all. In the following probability distribution, the random variable x represents the number of activities a parent of a 6th-to 8th grade student is involved in. Complete parts (a) through (1) below. * 1 0 1 2 3 4 5 P(x) 0.269 0 206 0.224 0.239 0.062 (a) Verify that this is a discrete probability distribution This is a discrete probability distribution because the sum of the probabilities is and each probability is (6) Graph the discrete...
3. Let X be a continuous random variable defined on the interval 0, 4] with probability density function p(r) e(1 +4) (a) Find the value of c such that p(x) is a valid probability density function b) Find the probability that X is greater than 3 (c) If X is greater than 1, find the probability X is greater than 2 d) What is the probability that X is less than some number a, assuing 0<a<4?
. Assignment of probability p, to each value of the Continuous Random Variable x. B. Assignment of frequency f, to each value of the Discrete Random Variable x. C. Assignment of probability p, to each value of the Discrete Random Variable x. D. Assignment of frequency f, to each value of the Continuous Random Variable x. Given the discrete probability distribution in the table below, answer questions 12-15 23 4 Po)10.12a a-0.11 0.28 12. Calculate a A. 0.46 B. 0.33...
2ND TEST IN PROBABILITY THEORY AND STATISTICS Variant 8 1. X is a continuous random variable with the cumulative distribution function if x<0 F(x)ax2 0.1x if osxs 20 if x> 20 0 Find 1) the coefficient a; 2) P 10); 3) P(X<30). 2. The result of some measurement X is normally distributed with parameters 184 and 8. Compute the probability that variable X takes value from interval (170;180) at least once in 5 experiments 3. Two independent random variables X...
Consider the random variable X with probability density f(x)={(x^3)/2 for 0<x<8^(1/4), 0 elsewhere} Find the probability density of Y=(1/5)ln(X+4)using transformation techniques.
4. Let X be a continuous random variable defined on the interval [1, 10 with probability density function r2 (a) Find the value of c such that p(x) is a valid probability density function. (b) Find the probability that X is larger than 8 or less than 2 (this should be one number! (c) Find the probability that X is larger than some value a, assuming 1 < a< 10 d) Find the probability that X is more than 3
(Use computer) Let X represent a binomial random variable with n = 110 and p = 0.19. Find the following probabilities. (Round your final answers to 4 decimal places.) a. P(X ≤ 20) b. P(X = 10) c. P(X > 30) d. P(X ≥ 25) (Use Computer) Let X represent a binomial random variable with n = 190 and p = 0.78. Find the following probabilities. (Round your final answers to 4 decimal places.) Probability a....