Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with
= 62.5 in
= 2.2 in
the normal probability density function is given by
, then
(a) 
= 0.5899
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking 
where n = 37. 
is normally distributed with mean 62.5 in and standard deviation 
. So, the probability density function is given by
, and
= 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.
Answer:
Answer: 60%
Step-by-step explanation:
20% of 60 is 12
60/300 = 20%
The friend is incorrect because that is 20% of 300 not 60
Answer:
C & D
Step-by-step explanation:
You can do these two ways. You can multiply the cost of the the shirt by 15% (.15 as a decimal.) and then subtract that answer from the original price of the shirt to get the sales price of the shirt.
You can also multiply the price of the shirt by 85% (.85 as a decimal) and that will give you the sales price without having to subtract. 15% + 85% = 100%, so 85% represents the sales price of the shirt.
Anyway, since you multiply, you can eliminate choice A & B.
Since the direction in the question says to select all that apply, I would check both C & D.
C is the equation of the first way I talked about- Price - 15% * price
C p - 0.15p
D is the equation of the second way I talked about. Price times 85%
D 0.85p
