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:
y= -5x +7
Step-by-step explanation:
We can see points on the graph:
The function in general form is:
Let's find the slope and y-intercept as per identified points on the graph:
b= y- mx
- b= - 3 -(-5)*2= -3 +10= 7
Based on the found values of m and b, the given line is:
Answer:
B) 4,320
Step-by-step explanation:
You would first find the volume of the triangular prism using this formula:
V = 1/2 x A x C x H
A = 3 C = 6 H = 24
V = 1/2 x 3 x 6 x 24 = 216 cubic feet
Since there are 20 pounds of snow per cubic foot, you multiply the cubic feet (216) by the pounds of snow per cubic foot (20):
216 x 20 = 4,320 pounds
Answeit is blurry for me take a picture again
Step-by-step explanation:
