A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Ex
1 answer:
You might be interested in
Answer:
a) 20.44% probability that none of the selected adults say that they were too young to get tattoos.
b) 35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c) 56.34% probability that the number of selected adults saying they were too young is 0 or 1.
d) No
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they say they were too young when they got their tattoos, or they don't say that. Each adult is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
18% say that they were too young when they got their tattoos.
This means that
Eight adults who regret getting tattoos are randomly selected
This means that
a. Find the probability that none of the selected adults say that they were too young to get tattoos.
This is P(X = 0).
20.44% probability that none of the selected adults say that they were too young to get tattoos.
b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.
This is P(X = 1).
35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.
c. Find the probability that the number of selected adults saying they were too young is 0 or 1.
Either a. or b.
20.44 + 35.90 = 56.34
56.34% probability that the number of selected adults saying they were too young is 0 or 1.
d. It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?
Now
It is significantly low if it is more than 2.5 standard deviations below the mean.
The mean is
The standard deviation is
1 > (1.62 - 2.5*1.15)
So the answer is no.
Answer:
Mean = 3.7
Variance = 2.61
Step-by-step explanation:
From the data given; we can represent our table into table format for easier solution and better understanding.
Given that:
A highway engineer knows that his crew can lay 5 miles of highway on a clear day, 2 miles on a rainy day, and only 1 mile on a snowy day
Let X represent the crew;
P(X) represent their respective probabilities
clear day rainy day snowy day
X 5 2 1
P(X) 0.6 0.3 0.1
From Above; we can determine our X*P(X) and X²P(X)
Let have the two additional columns to table ; we have
X P(X) X*P(X) X²P(X)
5 0.6 3 15
2 0.3 0.6 1.2
1 0.1 0.1 0.1
Total 1.0 3.7 16.3
The mean can be calculated by using the formula:
Therefore ; mean = 3.7
Variance
Variance = 16.3 -3.7²
Variance = 16.3 - 13.69
Variance = 2.61