In: Finance
27% of consumer prefer to buy grocery Online. Purchasing grocery online follows a binomial distribution pattern. You randomly select 10 consumers. Find the probability that the number of customers who prefer to shop Online for grocery is
Exactly 4
At least 2
Between 1 and 4 inclusive
| p | 27.00% | 
| n | 10 | 
hence, using

We can get the following probability distribution:
| x | P(x) | 
| 0 | 0.0430 | 
| 1 | 0.1590 | 
| 2 | 0.2646 | 
| 3 | 0.2609 | 
| 4 | 0.1689 | 
| 5 | 0.0750 | 
| 6 | 0.0231 | 
| 7 | 0.0049 | 
| 8 | 0.0007 | 
| 9 | 0.0001 | 
| 10 | 0.0000 | 
Hence, using the calculated probability distribution table:
(a)
P(Exactly 4) = 0.1689
(b)
P(Atleast 2) = 0.7981
(c)
P(Between 1 and 4 inclusive) = 0.8533