The probability that between 8.0 gallons and 9.0 gallons are pumped during a randomly selected minute is 0.3749 or 37.49%
The Mean of the uniform distribution for an interval from a to b is given by the formula :
μ =
Here, the given interval is from 7.5 to 10.5 gallons per minute, that means a= 7.5 and b= 10.5
So, Mean(μ) =
Now, the standard deviation of the uniform distribution is given by the formula:
σ =
So, the standard deviation(σ) =
As we need to find the probability that between 8.0 gallons and 9.0 gallons are pumped, so now we will find z-score for both 8.0 and 9.0
The formula for z-score: z = (X - μ)/σ
So, z(X= 8.0) =
and z(X= 9.0) =
Now according to the z-score table, P(z=-1.1547) = 0.1251 and P(z=0) = 0.5
So, P(8.0 < x < 9.0)
= P(-1.1547 < z <0)
= 0.5 - 0.1251
= 0.3749
= 37.49%
Thus, the probability that between 8.0 gallons and 9.0 gallons are pumped during a randomly selected minute is 0.3749 or 37.49%
1/4x-5=10
First we need to cancel out the fraction, so we will multiply everything by 4.
x-20=40
Now we would add the twenty to the forty
x=60
I hope that this helps:)
Hi! so, the answer is 0 points
explanation: 21+17+25 = 63
63/3 = 21
if you look at it that way, kareem doesn’t need to score any points in his next game, because the average is already 21.
please mark my answer as the brainliest! thanks!
Put the following numbers in order from least to greatest. -2, -, -2.42, -21 o -2.42, -23, -, -2 10 10 0-23, -3, -2.42, -21 -2,
Lady_Fox [76]
-2 же -21 и в итоге он был очень сильно тебя хочу тебя видеть я тебе говорю я не могу найти где можно найти на карте и не знаю как ты там что ли что я не могу найти где