Answer:
a) 33.33%)
b) 135 minutes
c) 8.66 min
d) 50%
Step-by-step explanation:
a) the probability for a uniform distribution is
P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values
therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)
P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)
b) the mean (expected value) for a uniform probability distribution is
E(X) = (c+d)/2 = (120+150)/2 = 135 minutes
c) the standard deviation for a uniform probability distribution is
σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²
σ = √75 min² = 8.66 min
b) following the same procedure as in a)
P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)
Answer:
whos ur math teacher
Step-by-step explanation:
Answer:
the first one is: 351-400
the second one is: 651-700
Step-by-step explanation:
Hope it helped
Answer:
<h3>2</h3>
Step-by-step explanation:
The value of pi is 22/7
Expressing as a decimal, the first ten digits of pi is 3.1415926535
The value in the tenth digit of the pi is 5 (tenth value after the decimal point)
The value of the ones is 3(The value before the decimal point)
The difference between both values = 5 - 3
The difference between both values = 2
Hence the difference of the ones and the tenth digit of the pi is 2