The probability that there will be between 33 and 45 left-handed students in a randomly selected group of 400 is 0.718
The correct option is (C)
Binomial distribution is a common probability distribution that models the probability of obtaining one of two outcomes under a given number of parameters. It summarizes the number of trials when each trial has the same chance of attaining one specific outcome.
We have,
interval= 33 to 45
Here, n=400, a=33, b=45
So,
v varies from 33 to 45.
Now,
P(a≤ x≤ b)= binomcdf (n, p, b)- binomcdf ( n, p, a-1)
binomcdf (n, p, b)= binomcdf (400, 0.1, 45)
= 0.821
binomcdf ( n, p, a-1)= binomcdf (400, 0.1, 32)
= 0.103
Hence, P(a≤ x≤ b)= 0.821-0.103
= 0.718
Learn more about Binomial Distribution here:
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