Marketing estimates that a new instrument for the analysis of soilsamples will be very successful, moderately successful, or unsuccessful,with probabilities 0.35,0.50, and 0.15, respectively. The yearly revenueassociated with a very successful, moderately successful, or unsuccessfulproduct is $6 mnillion dollars, $3 million dollars, and $1 million dollars,respectively. Let the random variableX denote the yearly revenue of theproduct in millions of dollars. Evaluate the cumulative distributionfunction of X at specified values.Round your answers to two decimal places (e.g. 98.76).F(1)=%3DF(3) =F(6) =%3D

Given that Let X denotes the random variable the yearly revenue of the product in millions of…

Answered: Marketing estimates that a new…

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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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. Complete parts (a) through (e) below. Mouse Weight (before) Weight (after) 1 2 3 4 6 22.9 23.1 21.1 20.1 10.1 20.1 21.5 22.3 20.3 10.6 18.1 10.0 (a) Identify the claim and state H, and H.- What is the claim? OA. Weight gain causes pneumonia in mice. OB. Weight loss causes pneumonia in mice. OC. Pneumonia causes weight gain in mice. D. Pneumonia causes weight loss in mice. Let μ be the hypothesized mean of the difference in the weights (before-after). What are Ho and H₂? On ₂120 H₂: 0 OE H₂ =0 H₁₂ 14, 20 H₁₂14-0 OF. 16:1 sd >
An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 Sample from these distributions to compute the total number of complaints (store A+B) per week for 52 weeks.
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Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard H1 H2 23 23 deviations are equal. Complete parts (a) and (b) below. 0.57 0.39 0.62 1.29 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? O A. Ho: H1 =H2 O B. Ho: H1 H2 H1: H1
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=0.10, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse Weight (before) Welght (after) 1 2 3 4 5 22.7 21.6 20.6 20.6 21.7 22.9 21.3 20.9 19.9 20.2 20.6 21.7 H: >0 O D. Ho: H20 OE Ho: H0 OF. Ha: H zd 0> PH :"H (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) OA. te B. t> 1476 OC. t (c) Calculate d and s d= 0.917 (Round to three decimal places as needed.) Calculate sg S= 0.376 (Round to three decimal places as needed.) (d) Find the standardized test statistic t. t= (Round to three decimal places as needed.)
A B B A B 35 42 45 39 41 Given the following data from a randomized experiment, construct the randomized reference distribution and use it to estimate the significance of the difference between methods A and B
Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance. At the 0.025 significance level, test the claim that the four brands have the same mean if the following sample results have been obtained. Brand A Brand B Brand C Brand D 21 24 22 17 20 21 18 25 27 29 35 18 23 25 22 25 26 29 29 21 26 36 37
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The demand for Carolina Industries’ product varies greatly from month to month. Based on the past two years of data, the following probability distribution shows the company’s monthly demand: Unit demand Probability 300 0.20 400 0.30 500 0.35 600 0.15 What are the variance and standard deviation for the number of units demanded
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
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