Help me with this answer please !
1 answer:
You might be interested in
Answer:
The probability the event that none of them are obese is 0.0352.
Step-by-step explanation:
<h3>Binomial distribution:</h3>A discrete random variable X having to the set {0,1,2,3....,n} as the spectrum, is said to have binomial distribution with parameters n= the number of trial, and p= probability of successes on an individual trial , if the p.m.f of X is given by,
for x=0,1,2,...,n
=0 elsewhere.
where 0<p<1 and n an positive integer,
Given that,
The probability of the event that a child living in an urban area in the united state is obese is 20%.
n=Number of children = 15, p= 20%= 0.20.
The probability the event that none of them are obese is
=P(X=0)
=0.0352
Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as , where
and
.
Expand the function to obtain:
Differentiate wrt x to obtain:
To find the point where the maximum value occurs, we solve
Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
,
This means the maximum volume occurs at .
Substitute into
to get the maximum volume.
The maximum volume of the open box is 24.26 cm³
See attachment for graph.
