Suppose that it costs $3 to make one dose of the small pox vaccine. Once adose is made, its shelf life is 90 days, after which it can no longer be used.It is desired to have, on average, 300 million doses available at any giventime.(a) What is the yearly cost to implement this plan?(b) Suppose now that the shelf life of a vaccine is randomly distributedaccording to an Erlang distribution with a mean of 90 days and astandard deviation of 30 days. What is the yearly cost to implementthis plan?(c) Suppose that a vaccine with a longer shelf life can be made, but at agreater cost. It is found that the cost to produce a vaccine with a shelflife of x days is equal to a + bx², where a = $2.50 and b = $0.00005.What is the shelf life that minimizes the yearly cost?

Answered: Suppose that it costs $3 to make one…

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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1. Studies of a specific enzyme activity showed that the time the enzyme activity before complete inactivity is exponentially distributed with a mean of 10 hours. Determine the failure rate.
A survey was conducted to evaluate the effectiveness of a new flu vaccine that had been administered in a small community. The vaccine was provided free of charge in a two-shot sequence over a period of 2 weeks. Some people received the two-shot sequence, some appeared for only the first shot, and others received neither. A survey of 1000 local residents the following spring provided the information shown in Table 14.6. Do the data present sufficient evidence to indicate that the vaccine was successful in reducing the number of flu cases in the community? 2 x 3 Contingency Table Flu No Flu Total No Vaccine One Shot Two Shots 24 289 313 9 100 109 13 565 578 Total 46 954 1000
2. Two systems have a continuous load of 105 MW. Find the expected load loss (ELL) of each system if the generation is composed of : a. Six 20 MW hydro generating units each with an availability of 0.9. b. Five 25 MW thermal units each with an unavailability of 0.2.
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A research study comparing three treatment conditions produces T=20 with n=4 for the first treatment, T=10 with n=5 for the second treatment, and T=30 with n=5 for the third treatment. Calculate SSbetween treatments for this data.
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question 3 and 4
6.
A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 123 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. a. At the 0.05 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost? Determine the null hypothesis, Ho, and the alternative hypothesis, H₁ . ▶
Overhead Door (OD) Corporation’s founder, C. G. Johnson, invented the upward-lifting garage door in 1921 and the electric garage door opener in 1926. Since then OD has been a leading supplier of commercial, industrial, and residential garage doors sold through a nationwide network of more than 450 authorized distributors. They have built a solid reputation as a premier door supplier, commanding 15 % share of the market. Suppose that customers assess door quality first in terms of the ease of operation, followed by its durability. The quality improvement team (QIT) might then assign an engineering team to determine the factors that contribute to these two main problems. Smooth operation of a garage door is a critical quality characteristic that affects both problems: If a door is too heavy, it’s difficult and unsafe to balance and operate; if it’s too light, it tends to buckle and break down frequently or may not close properly. Suppose the design engineers determine that a standard…
A gerontologist investigating various aspects of aging process wanted to see whether staying “ lean and mean, “ that is, being under normal body inbred line to one of three diets: (1) unlimited access to food, (2) 90% of the amount of food that a rat of size would normally eat, or (3) 80% of amount of food that a rat of the size would normally eat. She maintained the rats on three diets throughout their lives and recorded their lifespans (in years). Five rates in each group. Is there evidence that diet affected life span in this study? Let α= 0.01 Complete the ANOVA table . Source of variation df SS MS Fc Treatment 2 1.575 Error 12 Total 14 5.60 A) Hypothesis Test H0: H1: B) Test Statistic C) Decision Rule d) Conclusion *(please with equations and explanation) and thamnk you

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