Find the uniform continuous probability for P(X < 27) for U(0, 50). I need the formula to figure out with 4 place decimal place as an answer
To find the uniform continuous probability for P(X < 27) for the uniform distribution U(0, 50), we can use the formula for the cumulative distribution function (CDF) of a continuous uniform distribution:
CDF(x) = (x - a) / (b - a)
where x is the upper limit of the interval, a is the lower limit of the interval, and b is the upper limit of the interval.
In this case, a = 0, b = 50, and x = 27. Plugging in these values into the formula, we have:
CDF(27) = (27 - 0) / (50 - 0)
= 27 / 50
= 0.54
The uniform continuous probability for P(X < 27) is 0.54, rounded to two decimal places. However, since you need the answer with four decimal places, you can use the full value of 0.54.
Therefore, P(X < 27) = 0.54 (rounded to four decimal places).