The weights (in pounds) of 30 newborn babies are listed below. find q1. 5.5 5.7 5.8 6.0 6.1 6.1 6.3 6.4 6.5 6.6 6.7 6.7 6.7 6.9
7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
2 answers:
From the given data we shall obtain the following boxplot, which we can generate the information given:
<span>5.5, 5.7, 5.8, 6.0, 6.1, 6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 6.7, 6.7, 6.9, 7.0, 7.0, 7.0, 7.1, 7.2, 7.2, 7.4, 7.5, 7.7, 7.7, 7.8, 8.0, 8.1, 8.1, 8.3, 8.7
1st Qu=6.425
3rd Qu=7.650
</span>
<span>5.5, 5.7, 5.8, 6.0, 6.1, 6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 6.7, 6.7, 6.9, 7.0, 7.0, 7.0, 7.1, 7.2, 7.2, 7.4, 7.5, 7.7, 7.7, 7.8, 8.0, 8.1, 8.1, 8.3, 8.7
1st Qu=6.425
3rd Qu=7.650
</span>
Answer:
Step-by-step explanation:
We have been given weights (in pounds) of 30 newborn babies and we are asked to find the first quartile of our given data.
Our data set is: 5.5, 5.7, 5.8, 6.0, 6.1, 6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 6.7, 6.7, 6.9, 7.0, 7.0, 7.0, 7.1, 7.2, 7.2, 7.4, 7.5. 7.7, 7.7, 7.8, 8.0, 8.1, 8.1, 8.3, 8.7
Since we know that 1st quartile is the median of the data set to the left of the median.
We can see that our data set is in ascending order and our data set has 30 data points. So, 1st quartile will be the median of first 15 data points.
Since 15 is an odd number, so middle value will be the value of 8th data point.
Therefore, 1st or lower quartile of our given data set is 6.4 pounds.
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Using conditional probability, it is found that there is a 0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.
<h3>What is Conditional Probability?</h3>- <em>Conditional probability</em> is the <u>probability of one event happening, considering a previous event</u>. The formula is:
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are:
- Event A: Patient has Medicare.
- Event B: Patient has Medicaid.
For the probabilities, we have that:
- 35% of the patients have Medicare, hence
.
- Of those who have Medicare, there is a 10% chance they also have Medicaid, hence
.
Then, applying the <em>conditional </em>probability:
0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.
You can learn more about conditional probability at brainly.com/question/14398287