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.
From the diagram associated with this question it can be seen that the first bounce was 1 units high, thus the second bounce is 1 / 2 = 0.5 units high and the third bounce is 0.5 / 2 = 0.25 = 1/4 units high.
Given that B represents the second bounce and C represents the first bounce, the <span>fractions in hundredths that should be written at points B is 0.50 while at point C is 0.25</span>
Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.
For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.
- There are 75 first-time visitors on a given day, hence n = 75.
The probability that exactly 36 of them buy a product is P(X = 36), hence:
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
she will make $270 and each friend buys 9 CD's
Step-by-step explanation:
To find the money she makes take the CDs and multiply it times the money each one costs. To find the amount each friend buys divide the cds by th amount of friends
The probability of multiple events happening is found by multiplying the probabilities of each event together.
So yes, 1/10 is the answer :)
