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:
C
Step-by-step explanation:
A probability can not be more than 100% a probability is also like a dollar bill if you have 101 pennies then you only have one whole dollar bill.
When two triangles are congruent they<span> will </span>have<span> exactly the </span>same <span>three sides and exactly the </span>same<span> three angles. The equal sides and angles may not be in the </span>same<span> position (</span>if<span> there is a turn or a flip), but </span>they<span> are there.</span>
Answer:
36.
Step-by-step explanation:
Please correct me if i'm wrong! :)
Because b^6 is present in both terms, we can factor it out.
b^6(7 + 12)
Combine like terms.
b^6(19)
Rearrange.
19b^6 is the fully simplified form of the given expression.