27% of consumer prefer to buy grocery Online. Purchasing grocery online follows a binomial distribution pattern.

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

Solutions

Expert Solution

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

jeff jeffy answered 2 years ago

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