Circle M has a radius of length 5 inches. A tangent is drawn from exterior point Q to point N on circle M as shown. If QN= 11 in
ches, determine the measure of
2 answers:
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Answer:
P(X > 126) = 0.2119
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
P(X > 126) is the 1 subtracted by the pvalue of Z when X = 126. So
[tez]Z = 0.8[/tex]
[tez]Z = 0.8[/tex] has a pvalue of 0.7881.
P(X > 126) = 1 - 0.7881 = 0.2119
Answer:
A = 0.2264
B =0.9681
C = 0.9891
Step-by-step explanation:
The concept of conditional probability is applied here, probability been the likelihood of an event occurring. two events A and B are said to be mutually exclusive is one event precludes the happening of the other event i.e one is dependent on the other one occurring.
Conditional probability on the other hand is the happening of an event taking into consideration that an event had already happened.
Let P(A) and P(B) be the probability of event and B occurring.
P(A and B) is the probability of both A and B = P(A) x P(B)
P(A or B) = is the probability of either A or b = P(A union B)
as such, P(A union B) = P(A) + P(B) - P(A and B).
The steps and appropriate explanation is as shown in the attached file.
