Answer:
a) 2/42
b)16/42
Step-by-step explanation:
a) 2/7 x 1/6 = 2/42
b) (1,2) (1,3) (2,3)
P(1,2) = 2/7 x 3/6 = 6/42
P(1,3) = 2/7 x 2/6 = 4/42
P(2,3) = 3/7 x 2/6 = 6/42
Add all = 6/42 + 4/42 + 6/42 = 16/42
Answer:
(A) 0.15625
(B) 0.1875
(C) Can't be computed
Step-by-step explanation:
We are given that the amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 32 and 64 minutes.
Let X = Amount of time taken by student to complete a statistics quiz
So, X ~ U(32 , 64)
The PDF of uniform distribution is given by;
f(X) =
, a < X < b where a = 32 and b = 64
The CDF of Uniform distribution is P(X <= x) =
(A) Probability that student requires more than 59 minutes to complete the quiz = P(X > 59)
P(X > 59) = 1 - P(X <= 59) = 1 -
= 1 -
=
= 0.15625
(B) Probability that student completes the quiz in a time between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)
P(X <= 43) =
=
= 0.34375
P(X < 37) =
=
= 0.15625
P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875
(C) Probability that student complete the quiz in exactly 44.74 minutes
= P(X = 44.74)
The above probability can't be computed because this is a continuous distribution and it can't give point wise probability.
Answer:
V=2
Step-by-step explanation:
For the inverse variation equation p = StartFraction 8 Over V EndFraction, what is the value of V when p = 4?
P=8/V
Inverse variation is expressed as
y=k/x
Where,
k= constant.
From the question,
P=8/V
Where,
8=constant
What is the value of V when p=4
P=8/V
Make V the subject of the formula
pV=8
V=8/p
Substitute the value of p
V=8/4
V=2
Answer:
The total cost of 5 pillows and 7 sheets is $205.345
Step-by-step explanation:
Let x be the price of pillow case
We are given that the price of the pillows is 3 times as much as the price of a pillow case
Price of pillow = 3x
Price of 2 pillows = 2(3x)=6x
Price of 3 pillow case = 3x
At a store, 2 pillows and 3 pillow cases together cost $73.08.
So, 6x+3x=73.08
9x=73.08

x=8.12
So, Price of 1 pillow case = 8.12
Price of 1 pillow = 3x=3(8.12)=24.36
Price of 3 pillow =3(24.36)=73.08
Let y be the cost of 1 sheet
The total cost of 3 pillows and 4 sheets is $120.82
So, 73.08+4y=120.82

y=11.935
Price of 1 sheet = 11.935
Price of 7 sheets = 7(11.935)=83.545
Price of 5 pillows =5(24.36)=121.8
So,the total cost of 5 pillows and 7 sheets=83.545+121.8=205.345
Hence the total cost of 5 pillows and 7 sheets is $205.345