A sphere and a cylinder have the same radius and height. The volume of the cylinder have the same height and radius. The volume
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Answer:
The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is
Step-by-step explanation:
Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.
To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?
Solution :
First we find probability one by one,
1) Flips a coin - Head, Tail
Total number of outcome = 2
Favorable outcome (getting a tail) = 1
Probability that the coin will show tails is
2) Spins the spinner - yellow, green, blue
Total number of outcome = 3
Favorable outcome (land on yellow or green) = 2
Probability that the spinner will land on yellow or green
3) Rolls a standard number cube - 1,2,3,4,5,6
Total number of outcome = 6
Favorable outcome (show a three) = 1
Probability that the cube will show a three
The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is
Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is
Answer:
So then the correct answer for this case is:
B) Our student, Z= 1.50; his friend, Z=2.00.
Step-by-step explanation:
Assuming this complete question:
A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exams were scored on different scales. Remembering what he learned about the advantages of Z scores, he asks his friend for the mean and standard deviation of her class on the exam, as well as her final exam score. Here is the information:
Our student: Final exam score = 85; Class: M = 70; SD = 10.
His friend: Final exam score = 45; Class: M = 35; SD = 5.
The Z score for the student and his friend are:
A) Our student, Z= -1.07; his friend, Z= -1.14.
B) Our student, Z= 1.50; his friend, Z=2.00.
C) Our student, Z= 1.07; his friend, Z= -1.14.
D) Our student, Z= 1.07; his friend, Z= 1.50
Step-by-step explanation:
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".
Solution
Let X the random variable that represent the scores for our student, and for this case we know that:
The z score is given by:
If we use this we got:
Let Y the random variable that represent the scores for his friend, and for this case we know that:
The z score is given by:
If we use this we got:
So then the correct answer for this case is:
B) Our student, Z= 1.50; his friend, Z=2.00.