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
I think it might be 90in. I’m not quite sure
Answer:
1/4 or 25%
Step-by-step explanation:
Let's see, we want to know probability of an event in which we roll two even numbers.
"We know that probability is defined as number of desired outcomes divided by all possible outcomes"
e - even number
o - odd number
our desired outcome: (e, e) total of 1
all possible outcomes: (e, e), (e, o), (o, e), (o,o) total of 4
that gives us 1/4
Answer: £516
Step-by-step explanation:
7.5 increase = 100 + 7.5 = 107.5
107.5/100 = 1.075 (multiplier)
480 x 1.075 = 516
