1. A random variable, X, follows a hypergeometric distribution with N=50, a=10 and n=6.Which of the following is NOT a possible value for X?A. 0A. 25%2. A random variable, X, has a mean of 100 and variance of 64. Which of the following isnot a possible value for P(84 < X<116)?A. 0.004B. 4B. 75%A. P(X> 8)C. 6A. binomial3. It is known that the number of misprints on a textbook page follows a Poissondistribution with a mean of 0.004. Which of the following is the standard deviation of thenumber of misprints on a textbook of 475 pages?B. 0.063C. 85%D. 10C. 1.9D. 95%4. X is a discrete random variable, which of the following quantities is the same as P(X28)?B. 1-P(X<8) C. 1-P(X> 8)5. Which of the following random variables could have a variance greater than its mean?C. geometricB. hyper-geometricD. 1.378D. 1- P(X≤8)D. Poisson

Given are some facts about distributions.Want to check if they are correct or not and want to verify…

Answered: 1. A random variable, X, follows a…

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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6.36. Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 week is given by the following table: 1 2 3 4 7 8 p(z) 0.05 0.10 0.12 0.30 0.30 0.11 0.01 0.01 a. Find the mean value of æ (the mean number of systems sold). b. Find the variance and standard deviation of æ. 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?
4. Let Z be the standardized normal variable, i.e. Z follows normal distribution with the meanμ = 0, and variance σ 2 = 1. Find the value of the following probabilities. In each case, sketch a curve and shade the area representing the probability.a. P(Z < −0.6) b. P(Z > −1.28) c. P(0.81 < Z < 1.94)
Let X be a normal random variable with mean 48 and standard deviation 3.8. Suppose that x = a has a z-score of z = 2.5. How do we interpret this z-score? Group of answer choices: x = a has a difference of 2.5 with x = 48 x=a is 2.5 standard units away from x = 48. x = a is 3.8 standard units away from x = 48 x = a is has a difference of 3.8 from x = 48.
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At a= 0.10, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Burger Stop X, = $9.13 Fry World X2 = $8.50 5, = $0.78 52= $0.68 n= 17 n2 =8 (a) Identify the claim and state Ho and H. Which is the correct claim below? O A. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop." B. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." Oc. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World." O D. "The…
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
Let x be a random variable that represents the commute time of teachers in a large urban area. If x is normally distributed with a mean of 49 minutes and a standard deviation of 5.2 minutes, find the commute time which is at the top of the bottom 10%. A. 55.66 minutes B. 42.34 minutes C. 42.63 minutes D. 41.38 minutes
Q1. Which of these is not a parameter of the population distribution of X? A. Sample Mean of X. B. Variance of X. C. Std. deviation of X. D. The Expected value of X, E(X). O A. A В. Ь О С. с O D. d
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 13 students from college B yielded the following GPAs. College A 3.7 3.2 3.0 2.5 2.7 3.6 2.8 3.4 College B 3.8 3.2 3.0 3.9 3.8 2.5 3.9 2.8 4.0 3.6 2.6 4.0 3.6 Construct a 95% confidence interval for μ1−μ2, the difference between the mean GPA of college A students and the mean GPA of college B students. Round to two decimal places. (Note: x1=3.1125, x2=3.4385, s1=0.4357 s2=0.5485
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.)
Q4. Identify the incorrect statement below: The estimator, X from a random sample of X A. Is the mean of the population of X. B. Is an unbiased estimator of the population mean. C. Has an expected value equal to the mean of X. D. Is a random variable with a variance smaller than the variance of X. O A. A ОВ. В С. С O D. D
1. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 10.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 41, customers in the first line and m₂ = 51 customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer X₂ one ¹2 is more than 0.4 minutes. Assume that the service times for each customer can be regarded as independent random variables.
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At x = 0.01, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Burger Stop Fry World X₁ = $11.22 X₂ = $10.59 $₁ = $0.79 $2 = $0.64 n₂ = 10 n₁ = 12 (a) Identify the claim and state Ho and H₂. Which is the correct claim below? O A. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World." OB. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World." O c. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World." O D.…

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