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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

  1. Exactly 4
  2. At least 2
  3. Between 1 and 4 inclusive
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Homework Answers

Answer #1

Hello

In the given binomial distribution:

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

Thanks!

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