question archive 4

4

Subject:MathPrice:2.86 Bought3

4.2.23  

Seventy dash five percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is? (a) exactly? five, (b) more than? five, and? (c) at most five.

?(a) Find the probability that the number that prefer to purchase electronics online is exactly five.

?P(5)equals

nothing

?(Round to three decimal places as? needed.)

 

 

4.2.26  

21?% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is? (a) exactly? two, (b) more than? two, and? (c) between two and? five, inclusive. 

?(a) Upper P left parenthesis 2 right parenthesis equals

nothing ?(Round to the nearest thousandth as? needed.) 

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The answers are:

 

23)

a) 0.2076

b)0.6785

c)0.3215

 

26)

 

a)0.3011

b)0.3526

c)0.6455

Step-by-step explanation

We know that:

 

P(X=a) = nCa pa(1-p)n-a

 

 

23) a)P(X=5)= 8C5 0.755(1-0.75)8-5= 0.2076

 

b)P(X>5) = P(X=6) + P(X=7) + ... + P(X=8) = 8C6 0.756(1-0.75)8-6?+.... + 8C8 0.758(1-0.75)8-8?=0.6785

 

c) P(X <=5) = 1 - P(X>5) = 0.3215

 

26)

 

a) P(X=2)= 10C2 0.212(1-0.21)10-2?= 0.3011

 

b)P(X>2)= P(X=3) + ... + P(X=10) = 10C3 0.213(1-0.21)10-3?+.... = 0.3526

 

c) P( 2 <= X <=5) = P(X=2) + ... + P(X=5) = 0.6455

 

 

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