Answer:
2.28% probability that a person selected at random will have an IQ of 110 or greater
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
![\mu = 100, \sigma = 5](https://tex.z-dn.net/?f=%5Cmu%20%3D%20100%2C%20%5Csigma%20%3D%205)
What is the probability that a person selected at random will have an IQ of 110 or greater?
This is 1 subtracted by the pvalue of Z when X = 110. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{110 - 100}{5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B110%20-%20100%7D%7B5%7D)
![Z = 2](https://tex.z-dn.net/?f=Z%20%3D%202)
has a pvalue of 0.9772
1 - 0.9772 = 0.0228
2.28% probability that a person selected at random will have an IQ of 110 or greater
Answer:
The Awnser Is Y=9/7
Step-by-step explanation:
The correlation coefficient for the data in the table was found to be 0.93.
The correct option is A.
<h3>What is the correlation coefficient?</h3>
The correlation coefficient focuses on the linear relationship between two variables.
Given
The first column is labeled time spent at the dentist (in hours) with entries 1.4, 2.7, 0.75, 1.6.
The second column is labeled bill amount (in dollars) with entries 235, 867, 156, 215.
The numbers between -1 and 1 should be one of the values related to the bill.
Taking the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable or output variable as the amount of the bill.
Hence, The correlation coefficient for the data in the table was found to be 0.93.
To know more about correlation coefficient click the link given below.
brainly.com/question/26197675
Answer:
it will cost $10.63 for 2.5 pounds of roast beef
$12.95 for 3.5 pounds of ham
Step-by-step explanation: