Answer:
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent the scores, and for this case we know the distribution for X is given by:
And let 
represent the sample mean, the distribution for the sample mean is given by:
On this case 
2) Calculate the probability
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
To compare fractions you need to make their denominators the same and then compare their numerators.
3/7 is bigger.
Answer:
therefore, 7/7 simplified to lowest terms is 1/1.
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 7 and 7 is 7
Divide both the numerator and denominator by the GCD
7 ÷ 7
7 ÷ 7
Reduced fraction:
1
1
Therefore, 7/7 simplified to lowest terms is 1/1
Answer:
a. 12 / 50 = 0.24 or 24%; b. 21 / 50 = 0.42 or 42%
Step-by-step explanation:
1. to find the estimated probability that it will take at least 5 patients to find who it isn't effective on, count the outcomes of EEEE. this means that it was effective on 4 patients, therefore requiring a 5th patient to find the noneffective person.
a. 12 / 50 = 0.24 or 24%
2. to find the estimated probability that it will be effective on exactly 3/4, look for boxes with 3 E's and 1 N (in any order)
b. 21 / 50 = 0.42 or 42%
hope this helps :)
