A. Average rate of change for x=1 to 2: 4(2²)-4(2)=16-8=8; from x=3 to 4: 4(2⁴)-4(2³)=64-32=32.
b. Section b is 32/8=4 times greater. As the exponent of 2 increases, the gaps between consecutive powers of 2 gets wider and therefore the rate of change is greater.
Dependent, because you're changing the probability
Answer:
3
Step-by-step explanation:
Answer: C. 11/15
Step-by-step explanation:
Given : The fraction of stores inventory is children's clothing=
The fraction of stores inventory is women's clothing=
Since both events are independent.
Therefore, the fraction of the total inventory is children's or women's clothing = (Fraction of stores inventory is children's clothing ) + (Fraction of stores inventory is women's clothing )


∴ The fraction of the total inventory is children's or women's clothing 
Hence, the correct answer is C. 11/15 .
If <em>X</em> is uniformly distributed on the interval (0, 12), then its PDF is

or simply

and the zero-elsewhere case is assumed.
Whether you include 0 and 12 in the domain is irrelevant, since the probability that <em>X</em> = 0 or <em>X</em> = 12 are both zero.