2.A department store receives an average of 5 returned items per day. The probability that a returned itemhas an available replacement is 0.65. [Hint: there are two separate distributions here.]d.e.f.Calculate the probability that there are 4 returned items and none has availablereplacements in a certain day.Calculate the variance and the mean of the returned items.Calculate the variance and the mean of the replaced items.2

Let X be the number of returned items i.e X~Pois(λ=5) Let Y be the number of replace item n=sample…

Answered: 2. A department store receives an…

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...

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76% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. 1.mean of the binomial distribution 2.variance of the binomial distribution 3.standard deviation
← A boat capsized and sank in a lake. Based on an assumption of a mean weight of 146 lb, the boat was rated to carry 70 passengers (so the load limit was 10,220 lb). After the boat sank, the assumed mean weight for similar boats was changed from 146 lb to 174 lb Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 177.5 lb and a standard deviation of 38.1 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 146 lb The probability is (Round to four decimal places as needed)
c and d part only
A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a=0.05, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Mouse 1 4 6. Weight (before) Weight (after) 20.8 22.4 21.7 23.6 19.6 19.9 20.8 22.5 21.5 23.7 19.5 19.8 1) Find the standardized t test 2) Find the P-value 3) Decide whether to reject or fail to reject the null hypothesis. 4) Interpret the decision in the context of the original claim. 19,600
PLS. Solve Quickly Applications Problems According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an average of $3173 debt on their credit cards (USA TODAY, April 13, 2009). Suppose that cur- rent credit card debts for all college students have a normal distribution with a mean of $3173 and a standard deviation of $800. Find the probability that credit card debt for a randomly se- lected college student is between $2109 and $3605.
Construct all random samples consisting two observations from the given data. You are asked to guess the average weight of the six watermelons by taking a random sample without replacement from the population. Watermelon A, B, C, D, E, and F has a weight (in pounds) 19,14,15,9,10 and 17 respectively.k. What is the variance of the sampling distribution of the sample means?l. What is the probability of getting 18.00 as a mean?m. What is the probability of getting 15 as a mean?n. What is the standard deviation of the sampling distribution of the sample means?o. What is the probability of getting 14.50 as a mean?p. What is the probability of getting 16.50 as a mean?
Q3.a. Find out the variance of first n natural numbers. b. The arithmetic mean of two non-negative numbers is 5. Find out its standard deviation?
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