The Mayor of Southfield wants to sample adult residents of the city in order to

Question

The Mayor of Southfield wants to sample adult residents of the city in order to estimate the percentage that favor his proposal to build a downtown sports arena. A random sample size 900 is chosen and 40% of them favor the mayor's proposal. Identify the population, parameter, sample and statistic in this example: Population =____Parameter =___Sample =___Statistic =___In a class with 50 students. 18 of them major in Electrical Engineering (EE). 10 of them major in math, including 4 who have double majors in both EE and math. What is the probability that a random selected student Majors in neither EE nor math? Majors in only EE but not math? An unfair coin is weighted so that tails is twice as likely to appear as heads. The unfair coin is tossed 3 times! Determine the following: a) Provide the sample space b) Find the probability that exactly 1 tail occurs in 3 tosses, c) Determine the probability mass function of the number of tails that occur in 3 tosses occurs and the d) F(x) = (cumulative distribution function): Sample Space = { P(1 tail in 3 tosses) = Probability mass function: Cumulative distribution function.

Explanation / Answer

1) Population: the residents of the city

Parameter= proportion of residents in the city who favor his proposal

sample: the sample of residents taken

Statisitc: sample prportion

2) n=50

number of studnets neither majoing in EE or Math=50-18-10-4=18

P(studnets neither majoing in EE or Math)=18/50

b) major only in EE not math=18-4=14

P( major only in EE not math)=14/50

3) a) Sample space={T, T, H}

b) P(1 tail)

n=3

The disitrbution is binomial with p=2/3 q=1/3

P(x=1)=BINOM.DIST(1,3,0.6667,FALSE)=0.2222

c) pmf=nCxp^x(1-p)^n-x

d) Cumulative disitrbuion function I(1-p) (n-x,1+x)

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