Answer:
11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Forecast of rain.
Event B: Raining.
In recent years, it has rained only 5 days each year.
A year has 365 days. So
When it actually rains, the weatherman correctly forecasts rain 90% of the time.
This means that 
Probability of forecast of rain:
90% of 0.0137(forecast and rains)
10% of 1 - 0.0137 = 0.9863(forecast, but does not rain)
What is the probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain
11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain
D 10” riser , 7-1/2 treas
The number of students with heights less than 163 cm should be expected is 12.
According to the statement
The mean of height is 175 cm
and the standard deviation of height is 6 cm.
We use normal distribution here with formula
Z= X - μ /σ
Here X is 167.5 and μ is 175 and σ is 6 cm.
Substitute the values in it then
Z = 167.5 - 175 / 6
Z = -1.25
-1.25 have a p value 0.012
Out of 1000 students:
0.012 x 1000 = 12.
So, The number of students with heights less than 163 cm should be expected is 12.
Learn more about DISTRIBUTION here brainly.com/question/1094036
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The length of XY, using the distance formula, is approximately: 11.7 units.
<h3>How to Apply the distance Formula to Find the Length of a Segment?</h3>
The distance formula given to find the distance between two points or the length of a segment, is given as: 
.
We are given the coordinates of the endpoints of the line segment as follows:
X(-7, 10) and Y(3, 4).
Let (x1, y1) represent X(-7, 10)
Let (x2, y2) represent Y(3, 4)
Plug in the values of the coordinates of the endpoints into the distance formula:
XY = √[(3−(−7))² + (4−10)²]
XY = √[(10)² + (−6)²]
XY = √(100 + 36)
XY = √136
XY ≈ 11.7 units
Thus, the length of XY, using the distance formula, is approximately calculated as: 11.7 units.
Learn more about the distance formula on:
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Answer:
D
Step-by-step explanation:
Probability cannot be greater than 1 so the answer is D.
