a) 
because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b) 
because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
Answer:
or 
Step-by-step explanation:
total boxes = Jills boxes + Mikes boxes
total boxes = 
= 
= 
=
=
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $470
r = 6% = 6/100 = 0.06
n = 1 because it was compounded once in a year.
Therefore, the equation used to determine the value of his bond after t years is
A = 470(1 + 0.06/1)^1 × t
A = 470(1.06)^t
Answer: 34767.2
Step-by-step explanation:
given p = $16,000, n = 14 years, y = 5.7%
amount in bank after 14 years = p ( 1 + </100)
= 16,000 (1 + 5.7/ 100) 14
= 34767.2
