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:
Step-by-step explanation:
1st one is x=26
2nd one is x=4
3rd is x=4
4th is x=-1
Hope that helps!
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Answer:
The measures of a pair of same-side exterior angles are 10w and 5v. ... Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Solve for x. 120= 15x +5+ 22x +4. 120 = 37% +. 4. (X=3]. 6. Use the following figure, given that ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.
Step-by-step explanation:
Answer:
y=-x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-1)/(5-3)
m=-2/2
m=-1
y-y1=m(x-x1)
y-1=-1(x-3)
y-1=-x+3
y=-x+3+1
y=-x+4
