3. Suppose thewithexpectedlifeofcapacitor is S2 morthsupenstanderd deviatian of I8 manths. New. capacitors areina crate containing 36 capacitorsShippeda) Statedistributon of the life span for tte Crpaieitors inthe name of the theorem which sayi that theaveragea crateapproximately normal. We Gonside a sample sizeor more to be Taege.isof30b) what is thelifeハo 4 roytspcnpobabillyCS ScapmetrLiten Coa Beanoar be greate then so manths?aver ageof the

3. a) Central limit theorem: If the population is normally distributed then the sampling…

of the theorem which distributon of the average Ilife span for ile Copaititors in approximately normal. We Conside a sample size : a) State the name that the acrate is of 30 of more to beTage b) what is the pobabiity that the average life span of the S SCapmetorait Coa BradeantoAir be greate than so manths?

of the theorem which distributon of the average Ilife span for ile Copaititors in approximately normal. We Conside a sample size : a) State the name that the acrate is of 30 of more to beTage b) what is the pobabiity that the average life span of the S SCapmetorait Coa BradeantoAir be greate than so manths?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d below
At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B Consider a random sample of n=9 people who donated blood over the past three months. a) The expected number of people with blood type O+ is _____and the expected number of people with blood type A- is ______Round your answers to 2 decimal places. b) Calculate the following probabilities: P(X=5)=_________ Round your answer to 4 decimal places. P(X>2)=_________ Round your answer to 4 decimal places.
A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 28% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.
At the Blood Bank, they know that O+ blood is the most common blood type and that 40% of the people are known to have O+ blood. Blood type A- is a very scarce blood type and only 6% of the people have A- blood. Half of the people have blood type A or B. Let: X= number of people who have blood type O+ Y= number of people who have blood type A- Z= number of people who have blood type A or B a) Consider a random sample of n=9 people who donated blood over the past three months. The expected number of people with blood type O+ is and the expected number of people with blood type A- is Calculate the following probabilities: P(X=5)= __________ Round your answer to 4 decimal places. P(X>2)= __________ Round your answer to 4 decimal places. b) Consider a random sample of n=40 people who donated blood over the past three months. Use the relevant probability function of Y to calculate the probability that 2 people in the random sample will have type A- blood. ________…
If We can assert with 95% that the maximum error is 0.05 and p= 0.2 ,find the sample size...
2b. It is thought that 20% of Annual Tax returns to the Australian Tax Office (ATO) contain errors of one kind or another. An auditor in the ATO investigating the number of returns with errors in a particular industry takes a sample of 25 returns and classifies each return as being “in error” or “not in error”. i. If the variable X is used to represent the number of returns in the sample that are in error, and assuming this industry is no different to other industries in terms of the error rate, then state:• the values that X may take;• the distribution of this variable; and • the parameter/s of this distribution. ii. Determine the probability that 6 or less returns in this sample are in error. The auditor found that there were 13 tax returns with errors in this sample. iii. Determine the probability of finding 13 or more returns with errors if indeed the error rate was 20%. iv. Based upon your answer for part iii., what conclusion might the auditor make about this particular industry…