Answer:
(d) 0.06
Step-by-step explanation:
A suitable calculator or app can tell you the value of the binomial distribution, as can many web sites.
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formula
The value can be calculated "by hand" from ...
B(n, p, x) = C(n, x)·p^x(1-p)^(n-x)
where C(n, k) = n!/(k!(n-k)!)
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application
For your values, this is ...
B(10, 0.75, 5) = 10!/(5!·5!)×(0.75^5)(0.25^5)
= (10·9·8·7·6)/(5·4·3·2·1)(0.1875^5) ≈ 252(0.0002317) ≈ 0.0584
Rounded to 2 dp, that's 0.06.
