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:
x = 0.3, y = 5.3, z = 17.3
Step-by-step explanation:
Since given question is incomplete, so here is the complete table for the distance from the mean.
Temp (°F) 29 38 45 31 50 58 62
Distance from the mean 15.7 6.7 x 13.7 y 13.3 z
It's given that the mean of the data is 44.7
Since distance from the mean of a data is the absolute value of the difference of data and mean,
Therefore, distance from the mean of the data will be,
x = |44.7 - 45| = 0.3 (absolute value of the difference)
y = |44.7 - 50| = 5.3
z = |44.7 - 62| = 17.3
Answer:
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
She saves 1/10 of her salary. That's the simplified version, it can also be written 10/100. Fractions, decimals, and percentages are all interchangeable.
Answer:
<h2>A</h2>
Step-by-step explanation:
la recta:
(*)
P=(xo,yo)

substituindo:

Seja P=A=(xo=1,yo=3), utilizando a formula (*)
