Use angle ADB and angle EDF to write and solve an equation to find the value of x
2 answers:
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Answer:
Step-by-step explanation:
Using central Limit Theorem (CLT), The sum of 100 random variables;
is approximately normally distributed with
Y ~ N (100 × ) = N ( 50,
)
The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;
N ( 50, )
Using Chebyshev's inequality:
Let assume that X has a symmetric distribution:
Then:
where: (
)
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