Fast Food and Gas Stations Forty percent of all Americans who travel by car look for gas stations and food outlets that are close to or visible from the highway. Suppose a random sample of n = 25 Americans who travel by car are asked how they determine where to stop for food and gas. Let x be the number in the sample who respond that they look for gas stations and food outlets that are close to or visible from the highway. a. What are the mean and variance of x?
b. Calculate the interval p-±2a. What values of the binomial random variable x fall into this interval?
c. Find P(6 ≤ x ≤ 14). How does this compare with the fraction in the interval WO for any distribution? For mound-shaped distributions?

a

mean variance

b

The binomial random variable x fall into this interval ranges from

     - 5  to  5

c

Step-by-step explanation:

From the question we are told that

  The sample size is  

   The  percentage that look for gas stations and food outlets that are close to or visible from the highway is  

Generally the mean is mathematically represented as

=>    

=>    

The variance is mathematically represented as

=>  

=>    

The  standard deviation is mathematically evaluated as

The  interval is evaluated as

=>  

=>  

=>  

The binomial random variable x fall into this interval ranges from

     - 5  to  5

Generally

From the z-table  

And

=>              

=>          

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

it is definatly the 3rd one. very much looks like it, for a good chance, the third one would be best for you.

8(4)^8=72^feet to say that the total can conclude to 8(4) which as you know would mean 8 x 4. that equals 32w. 32^ could make a 72 answer as well. but your coefficent will remain w so your answer is 72w.

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