25% of Netflix customers watch movies online from Netflix catalog. Assuming a binomial distribution, if a sample of 10 customers is selected, what is the probability that 3 or more but not greater than 7 watch movies online.
a) .4740
b) 1.775
c) .2534
d) .2206
Hello Sir/ Mam
YOUR REQUIRED ANSWER IS OPTION A : 0.474
Given that:
p | 25.00% |
n | 10 |
Now, we know that:
Using this, we can get
x | P(x) |
0 | 0.0563135 |
1 | 0.1877117 |
2 | 0.2815676 |
3 | 0.2502823 |
4 | 0.1459980 |
5 | 0.0583992 |
6 | 0.0162220 |
7 | 0.0030899 |
8 | 0.0003862 |
9 | 0.0000286 |
10 | 0.0000010 |
Now,
using the above table:
P(X between 3 and 7) = 0.474
I hope this solves your doubt.
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