E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15
Bayes' theorem is transforming preceding probabilities into succeeding probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.
P(F|E)=P(E and F)÷P(E)
It is given that P(E)=0.3,P(F|E)=0.5
Using Bayes' formula,
P(F|E)=P(E and F)÷P(E)
Rearranging the formula,
⇒P(E and F)=P(F|E)×P(E)
Substituting the given values in the formula, we get
⇒P(E and F)=0.5×0.3
⇒P(E and F)=0.15
∴The correct answer is 0.15.
If, E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15.
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Answer:
<em>L = 24,873.6 miles</em>
Step-by-step explanation:
<u>Length of the Circumference</u>
Given a circle of radius r, the length of the circumference, or line surrounding the shape is:

The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:
r=7,917.5/2=3,958.75 miles
Assuming a plane flies around the equator at ground level, the distance it would travel is:

L = 24,873.6 miles
Answer:
w=15
Step-by-step explanation:
w/5=3
multiply by 5 on both sides
w=3*5
∴ w=15
Answer:
.1273 mi = 627.2 feet
c = 2
r
.4 = 2
r
r = 
r = 
d = 
d = .1273 mi = 627.2 feet
Step-by-step explanation:
Answer:
The mean is 0.54 and the standard deviation is 0.0135.
Step-by-step explanation:
i) the mean of the sampling distribution is 0.54
ii) the mean for the sampling distribution, p = 0.54
iii) therefore for the sampling distribution, q = ( 1 - 0.54) = 0.46
iv) the sample size of the distribution, n = 1356
v) 