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I am Lyosha [343]
3 years ago
8

Help me look at photo below

Mathematics
1 answer:
arsen [322]3 years ago
5 0
The photo is above.... lol
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A recent survey by the New Statesman on British social attitudes asked respondents if they believe that inequality is too large.
Reika [66]

Answer:

(a) The probability that in a a sample of six British citizens two believe inequality is too large is 0.0375.

(b) The probability that in a a sample of six British citizens at least two believe inequality is too large is 0.9944.

(c) The probability that in a a sample of four British citizens none believe inequality is too large is 0.0046.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of British citizens who believe that inequality is too large.

The proportion of respondents who believe that inequality is too large is, <em>p</em> = 0.74.

Thus, the random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em> = 0.74.

The probability mass function of <em>X </em>is:

P(X=x)={n\choose x}\ 0.74^{x}(1-0.74)^{n-x};\ x=0,1,2,3...n

(a)

Compute the probability that in a a sample of six British citizens two believe inequality is too large as follows:

 P(X=2)={6\choose 2}\ 0.74^{2}(1-0.74)^{6-2}\\=15\times 0.5476\times 0.00456976\\=0.03753600864\\\approx 0.0375

Thus, the probability that in a a sample of six British citizens two believe inequality is too large is 0.0375.

(b)

Compute the probability that in a a sample of six British citizens at least two believe inequality is too large as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

             =1-[{6\choose 0}\ 0.74^{0}(1-0.74)^{6-0}]-[{6\choose 1}\ 0.74^{1}(1-0.74)^{6-1}]\\\\=1-[1\times 1\times 0.000308915776]-[6\times 0.74\times 0.0011881376]\\\\=1-0.00031-0.0053\\\\=0.99439\\\\\approx 0.9944

Thus, the probability that in a a sample of six British citizens at least two believe inequality is too large is 0.9944.

(c)

Compute the probability that in a a sample of four British citizens none believe inequality is too large as follows:

 P(X=0)={4\choose 0}\ 0.74^{0}(1-0.74)^{4-0}\\=1\times 1\times 0.00456976\\=0.00456976\\\approx 0.0046

Thus, the probability that in a a sample of four British citizens none believe inequality is too large is 0.0046.

8 0
3 years ago
State, with an​ explanation, whether the​ mean, median, or mode gives the best description of the following average.
harina [27]

Answer:

C. Mean

A. The distribution is probably symmetric with a single peak.

Step-by-step explanation:

Mean measurement would give best description of the average number of car accidents people had in their lifetime. There are very less chances of skewed distribution because of the nature of the problem.

The data set in this case is not likely to have extreme variations thats why outliers wont be a problem. Therefore, mean measurement would be a better choice than median.

Example:

The typical data for this problem would look something like this.

2, 4, 4, 3, 5, 2, 1, 3

Mean= Sum of all elements/no. of elements

mean= (2+4+4+3+5+2+1+3)/8=24/8=4

8 0
3 years ago
Finance - Sheryl and Carol work at the same company and make the same salary of $64,000 per year. Carol deposits 8% of their sal
MrMuchimi

Answer:

$1792

Step-by-step explanation:

The problem statement tells you that the 8% of her salary that Carol puts in her 401(k) plan is not subject to income tax. Therefore, she is taxed on .08·64000 = 5120 less income than is Sheryl, so saves

0.35·$5120 = $1792

in income taxes over what Sheryl pays.

7 0
3 years ago
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