Problem 6: Use following Mega-Stat Output to solve this problem             Binomial distribution                   6  n       0.3  p                   cumulative     X P(X) probability     0 0.11765 0.11765     1 0.30253 0.42018     2 0.32414 0.74431     3 0.18522 0.92953     4 0.05954 0.98906     5 0.01021 0.99927     6 0.00073 1.00000       1.00000       Thirty percent of all customers who enter a store will make a purchase. Suppose that six customers enter the store and that these customers make independent purchase decisions. Let x be the number out of the 6 customers who will make a purchase. Find: The probability that exactly five customers make a purchase. The probability that at least three customers make a purchase. The probability that two or fewer customers make a purchase. The probability that at least one customer makes a purchase. The mean and the standard deviation of the number of customers who makes a purchase sqs

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Problem 6: Use following Mega-Stat Output to solve this problem

           

Binomial distribution

   
         
   

6

 n

 
   

0.3

 p

 
         
 

 

 

cumulative

 
 

X

P(X)

probability

 
 

0

0.11765

0.11765

 
 

1

0.30253

0.42018

 
 

2

0.32414

0.74431

 
 

3

0.18522

0.92953

 
 

4

0.05954

0.98906

 
 

5

0.01021

0.99927

 
 

6

0.00073

1.00000

 
   

1.00000

   

 

Thirty percent of all customers who enter a store will make a purchase. Suppose that six customers enter the store and that these customers make independent purchase decisions. Let x be the number out of the 6 customers who will make a purchase.

Find:

  1. The probability that exactly five customers make a purchase.
  2. The probability that at least three customers make a purchase.
  3. The probability that two or fewer customers make a purchase.
  4. The probability that at least one customer makes a purchase.
  5. The mean and the standard deviation of the number of customers who makes a purchase

sqs

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