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
Your answer is: 63 is 90% of 70.
The work (if needed) is shown above :)
Answer:
3
Step-by-step explanation:
how much would a 2 ton truck weigh on the moon? divide by 6 because 2x3=6 and the moon has low gravity so its is diffrent from earths gravity
Answer:
-51 (no options are matching)
Step-by-step explanation:
Given: (–2)2 + (–42) + (18 – 23).
we know, 2*2 = 4, and in integer multiplication if any negative integer is multiplied with positive integer, then the result will have a negative sign.
= -4 + (-42) + (18 – 23)
Here, we have open the brackets, and written the respective signs with the integers,
= - 4 - 42 - 5
now, we will perform the integer addition. Adding all the positives together & he negative numbers together
= -51
PS: It happens to be that none of the given options match with the correct answer. But, i have solved taking the expression, i hope it helps