The probability distribution of a random variable X is given below.Given the meanFind the variance (Var(X)) and the standard deviation, respectively.O [955.00, 30.90]O [104.75, 10.23]O [50.13, 7.08]O [2330.85, 48.28]O [12.57, 3.55]X1 2 34 10P(X = x) 5/16 3/16 1/32/321/4H=4.16

The random variable is x.We have to find the variance and standard deviation.This is probability…

Answered: The probability distribution of a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 88 and 112. The probability that a randomly selected adult has an IQ between 88 and 112 is ________.
A random variable X has the following probability distribution. Values of X -1 1 Probability 0.28 0.44 0.28 (a) Calculate the mean of X. (b) Calculate the variance of X. (c) Calculate the standard deviation of X. (Round the answer to the nearest thousandth.)
In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Find the mean and standard deviation. x P(x) 0 0.30 10.40 2 0.20 30.06 4 0.04 O mean: 1.30; standard deviation: 1.54 O mean: 1.14; standard deviation: 1.04 O mean: 1.54; standard deviation: 1.30 O mean: 1.30; standard deviation: 2.38
Iowa Rain The Annual precipitation amounts for Iowa appear to be normally distributed with a mean of 32.473 in. and a standard deviation of 5.601 in. (based on data from the US Department of Agriculture) a. If I year is randomly selected, find the probability that the annual precipitation is less than 29.000 in. b. If a decade of 10 years is randomly selected, find the probability that the annual precipitation amouants have a mean less than 29.000 in. c. Given that part (b) involves a sample size that is not larger than 30, why can the central limit theorem be used?
Assume that adults have IQ scores that are normally distributed with a mean of m = 105 and a standard deviation s =15. Find the probability that a randomly selected adult has an IQ between 91 and 119. The probability that a randomly selected adult has an IQ between 91 and 119 is ____.
K2
The probability distribution of a random variable X is given in the table below: -4 -2 2 4 .1 .2 .3 .1 .3 P(X Compute the : Мean: (round to 1 place if necessary) Variance: (round to 2 places if necessary) Standard Deviation : |(round to 2 places if necessary)
x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with σ = 2.7%. A random sample of 10 bank stocks gave the following yields (in percents). 5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 The sample mean is x = 5.38%. Suppose that for the entire stock market, the mean dividend yield is μ = 4.8%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.8%? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 4.8%; H1: μ < 4.8%; left-tailedH0: μ > 4.8%; H1: μ = 4.8%; right-tailed H0: μ = 4.8%; H1: μ > 4.8%; right-tailedH0: μ = 4.8%; H1: μ ≠ 4.8%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume that x has a normal distribution with unknown σ.The Student's t, since we…
The random variable xx represents the number of emails received at a help desk in one hour, and it has a Poisson distribution with a mean of 7.9. (Round to two decimal places.)What is the variance?σ2 = What is the standard deviation?σ =
Mean and Standard Deviation. Assume that the random variable X is normally distributed, with mean =70 and standard deviation =16. Which of the following is the probability that X is less than 90?
K Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=122, p=0.81 (Round to the nearest tenth as needed.) The mean, μ, is The variance, o², is (Round to the nearest tenth as needed.) The standard deviation, o, is. (Round to the nearest tenth as needed.)
Find the F-test statistic to test the claim that the population variances are equal. Both distributions are normal. The standard deviation of the first sample is 3.96014.5373 is the standard deviation of the second sample.

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

The probability distribution of a random variable X is given below. Given the mean Find the variance (Var(X)) and the standard deviation, respectively. O [955.00, 30.90] O [104.75, 10.23] O [50.13, 7.08] O [2330.85, 48.28] O [12.57, 3.55] X 1 2 3 4 10 P(X=x) 5/16 3/16 32 32 1/4 H=4.16