2379.1011121314From the probability distribution, find the mean and standard deviation for the random variable x, which represents the number of cars per household in a townaloof 1000 households.x P(x)0 0.14510.4082 0.2643 0.1004 0.083Ou=1.568; o= 1.111OH=1.568; o=1.893Ομ= 1.866; σ-1.111O None of theseContinueSubmit Assignment© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use|Privacy Center| AccessibilityMacBook Air80000DIIDDF1F2F3F4F5F6F7F8F9F10F11F12@$&*1234689

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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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4. Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3.9 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is ? The standard deviation is ? The probability that fawn will weigh exactly 3.1 kg is P(x = 3.1) = ? The probability that a newborn fawn will be weigh between 2.8 and 3.8 is P(2.8 < x < 3.8) = ? The probability that a newborn fawn will be weigh more than 3.02 is P(x > 3.02) = ? P(x > 2.5 | x < 3.4) = ? Find the 79th percentile?
5.1.7 Five males with an X-linked genetio disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. PO O 0.033 0.157 2 0310 3. 0.310 4. 0.157 0.033 Does the table show a probabilty distribution? Select all that apply A. Yes, the table shows a probability distribution. B. No, not every probab tyis between 0 and 1.inclusive. No, the random variable Xs numbervalues are not 355ociated with probablities No. the random varable xis categorcalinstead of numerical. No the sum of all the probablities is not equaltto 1. Cick to select your answerS) and tren cexCheckAnSwer
Suppose that random variable X follows a normal distribution with mean 20 and standard deviation 10. Let Y=10-2X. The probability P(5sY<15) is closest to O 0.2417 0.4995 0.4332 O 0.0279 O 0.1915
3.4.1 1. Suppose Z represents the standard normal random variable. If a value is selected at random from the standard normal distribution, find the probability that Z is: a. Less than 0 b. Between -2.35 and 1.65 c. Greater than 1.86 d. Greater than -2.15 and less than 1.67 e. Less than -1.92 or greater than 2.41
The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 9. Find the standard deviation for the binomial random variable X, the number of seeds germinating in each batch Round to three decimals A. 1.375. OB. 1.296 O C. 1.281 OD. 1.358
15
Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with ? = 2.5%. 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 = 5.38%. Suppose that for the entire stock market, the mean dividend yield is ? = 4.9%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.9%? Use ? = 0.01. (c) Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.) ?Sketch the sampling distribution and show the area corresponding to the P-value. (Select the correct graph.)
7.34 Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table: 1 2 3 4 5 6 7 .05 .10 .12 .30 .30 .11 .01 .01 8 p(x) a. Find the mean value of x (the mean number of systems sold). b. Find the variance and standard deviation of x. How would you interpret these values? c. What is the probability that the number of systems sold is within 1 standard deviation of its mean value? d. What is the probability that the number of systems sold is more than 2 standard deviations from the mean? (Hint: See Example 7.13.)
The weights of a certain population of young adult females are approximately normally distributed with a mean of 132 pounds and a standard deviation of 15. Find the probability that a subject selected at random from this population will weigh less than 122 pounds O a. 0.7486 O b. 0.2514 Oc. 0.2486 O d. 0.2570
Suppose the random variable X follows a normal distribution with mean 8 and variance 25. Thus the value of X so that only 20% of all values are above this X is O A. 3.8 O B. None O C. 12.2 O D. 8.3
Suppose a sample of O-nings waS obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have a a come from a population that is normally distnbuted. 0.190 0.194 0.199 0.205 E 0. 0.214 0.213 0.233 0.249 0.264 0.276 0.288 0.292 306 0.308 0.311 0.317 Click here to vew the table of cntical values for normal probability_plots] to Click here to view page 1 of the standard normal distribution table Click here to vew page 2 of the standard normal distribution table 2 b ◦ Using the correlation coeficient of the normal probability plot, is it reasonable to conclude that the population is normally distnibuted? Select the correct choice below and fll in the answer boxes within your choice. (Round to three decimal places as needed.) ○ A. Yes. The correlation between the expected z-scores and the observed data, Therefore, it is not reasonable to conclude that the data come from a noral population. exceeds the critical…

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