Answer:
d. No, the conditions for normality have not been met because the sample size for the pennies is not large enough and no information is given about the distributions of the populations.
Step-by-step explanation:
In this example, we learn that the sample taken of pennies was of 25, while the sample of quarters was of 35. According to the central limit theorem, a sample must be equal to or larger than 30 for the theorem to hold. The theorem states that when random variables are added, they tend towards a normal distribution even if the original variables themselves are not normally distributed. In this question, the sample of pennies is not large enough for the theorem to hold. On top of this, we have no information about the distribution of the populations. Therefore, the conditions for normality have not been met.
Answer:
the answer is A
Step-by-step explanation:
Answer:
(a)= option 3
(b)= option 3
Step-by-step explanation:
(A) It is given that a sequence is defined by the recursive function 
and 
Now, substituting the value of n=2 in above equation,
Again putting n=3,
Putting n=4,
Putting n=5,
Putting n=6,
Putting n=7,
Hence, option 3 is correct.
(B) The given sequence is :
5, -10, 20, -40, 80.....
Since, the given sequence is GP, therefore
and r=-2
The nth term is given by:
For fifteenth term, put n=15 in above equation, we get
=
=
Hence, the fifteenth term is 81920.
Option 3 is correct.
