Let X be a discrete binomial random variable.
Let p = 0.267 be the probability that a person does not cover his mouth when sneezing.
Let n = 18 be the number of independent tests.
Let x be the number of successes.
So, the probability that the 18 individuals, 8 do not cover their mouth after sneezing will be:
a) P (X = 8) = 18! / (8! * 10!) * ((0.267) ^ 8) * ((1-0.267) ^ (18-8)).
P (X = 8) = 0.0506.
b) The probability that between 18 individuals observed at random less than 6 does not cover their mouth is:
P (X = 5) + P (X = 4) + P (X = 3) + P (X = 2) + P (X = 1) + P (X = 0) = 0.6571.
c) If it was surprising, according to the previous calculation, the probability that less than 6 people out of 18 do not cover their mouths is 66%. Which means it's less likely that more than half of people will not cover their mouths when they sneeze.
Answer:
Given a line and a point not on it, no lines parallel to the given line can be drawn through the point. you get an elliptic geometry.
Step-by-step explanation:
Answer:
The formula for the volume of a prism is V = Bh
where,
B is the base area
h is the height.
Since, the base of the prism is a rectangle, therefore, volume of a rectangular prism = (L * B) * h
Assumptions:
Length, L and Width, B cannot be the same.
1.
h = 4 ft
B = 2 ft
L = 9 ft
2.
h = 4 ft
B = 3 ft
L = 6 ft
3.
h = 6 ft
B = 2 ft
L = 6 ft
4.
h = 2 ft
B = 2 ft
L = 18 ft
Step-by-step explanation:
The answer to Q1 along with an explanation is shown in the picture;
Having a look at all the questions, they are all essentially the same type so can all be solved similarly;
So by following the method and explanation, you should be able to do the rest of the questions.
