Answer:
a) The probability that a hobbit picked at random is no more than 36.7 in tall is P= 0.56631.
b) The probability that a random sample of 16 hobbits have a mean height of no more than 36.7 in tall is P=0.74857.
c) The probability that a random sample of 100 hobbits have a mean height of no more than 36.7 in tall is P=0.95254.
Step-by-step explanation:
We have this parameters for the population: normally distributed with mean 36 in. and standard deviation 4.2 in.
a) The probability can be computed calculating z and looking up in a table.
The probability that a hobbit picked at random is no more than 36.7 in tall is P= 0.56631.
b) In this case, the sample standard deviation change to
.
We can calculate z with the sample standard deviation
The probability that a random sample of 16 hobbits have a mean height of no more than 36.7 in tall is P=0.74857.
c) We apply the same principle as in pont b.
We can calculate z with the sample standard deviation
The probability that a random sample of 100 hobbits have a mean height of no more than 36.7 in tall is P=0.95254.
Answer:
BDE- 85
EDG- 50
FDG- 60
CDA- 85
Step-by-step explanation:
bear in mind that it goes with the "degree" of the polynomial.
Answer:
30
Step-by-step explanation:
Since there are 5 possible outcomes for the cards, and 6 possible outcomes for the die, there are a total of 5*6=30 outcomes possible. Hope this helps!