Assume that when adults with smartphones are randomly selected, 37% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.
The probability is _______
(Round to four decimal places as needed)
Answer)
Here we will use the formula of binomial
ncr × prqn-r
Where n = 8 and r = 2 and p = 37/100(given in the question)=0.37
And as we know that P+q=1, therefore, q=1-0.37= 0.63
And ncr = n!/r!(n-r)!
So answer is
8c2×0.3720.638-2
(8×7×6!/2!×(8-2)! )× 0.372×0.636
= 0.23966508866
Or 0.2397 (rounded to 4 decimal places)
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