Jennie makes quilts. She can make 7 quilts with 21 yards of material. How many yards of material would be required to make 12 qu
2 answers:
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Answer:
Luis would need to have a SAT score of 574.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
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 p-value, we get the probability that the value of the measure is greater than X.
Nicole's z-score:
ACT scores have a mean of about 21 with a standard deviation of about 5, which means that
Nicole gets a score of 24, which means that . Her z-score is:
What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?
Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.
SAT scores have a mean of about 508 with a standard deviation of about 110, which means that .
The score is:
Luis would need to have a SAT score of 574.
Answer:
a) f(x,y) = ; x = 0, 1 , 2; y = 0, 1 , 2; 0 ≤ x+y ≥ 2
b) =
Step-by-step explanation:
joint probability is a function that characterizes the distribution of a random variable. If X and Y be two random variables then the joint probability will be P(X = x, Y=y)
Given Data,
X = The number of blue Pens
Y = The number of red Pens
a)
possible outcomes(X, Y) are (0, 0), (0, 1), (1, 0), (1, 1), (0, 2), (2,0)
Please refer fig. also
total number ways of selecting any 2 pens = =
=28
f(x,y) = ; x = 0, 1 , 2; y = 0, 1 , 2; 0 ≤ x+y ≥ 2
b)
P(X,Y)∈A = P(X + Y ≤ 1)
= P(0,0) + P(1,0) + P(0,1)
= +
+
=
