Mean 35.714 Med 38 Mode 44
Step-by-step explanation:
new arrange from lowest to largest numbers
22 27 35 38 40 44 44
mean = plus of all number/ number
= (22+27+35+38+40+44+44)/7
= 35.714
Median = the central value
= 38
Mode = the most frequency
= 44 (2 numbers)
Answer:
Refer below
Step-by-step explanation:
a) a and b are the lower and higher values of the interval for which uniform distribution is defined.
Here a= 6 and b =10
b) Mean of the uniform distribution= (a+b)/2 = (6+10)/2 =8
Or int x (1/4) dx = x^2/8 = 8
c) Variance of the uniform distribution = (b^2-a^2)/12 = (100-64)/12
= 36/12 =3
Std dev = sq rt of 3 = 1.732
d) To find total area
PDF of the distribution = 1/(b-a) = 1/4, 6<x<10
Area = \int 6 to 10 of 1/4 dx
= x/4
Subtitute limits
= (10-6)/4 =1
So total area = 1
d)P(X>7) = int 7 to 10 of 1/4 dx = 3/4
e) P(7<x<9) = Int 7 to 9 of 1/4 dx = 2/4 = 1/2
5 1/2 - 3 5/6 = how much she needs
Make them into common denominator
11/2 = 33/6 - 23/6
33 - 23 = 10
10/6 = 1 2/3 yards