Question

Male players at the high school, college, and professional ranks use a regulation basketball that weighs, on average, 22.0 ounces with a standard deviation of 1.0 ounce. Assume that the weights of the basketballs are approximately Normally distributed. If a regulation basketball is randomly selected, what is the probability that it will weigh between 19.5 and 22.5 ounces?

Answer 1

look at ur chart

Answer 2

to see the area under the graph

Answer 3

The area under the graph is 1 right?

Answer 4

the total area yeah, as its the total probability 100% = 1

Answer 5

What should I do based off that area?

Answer 6

first u find zscore

Answer 7

which z score formula should I use here?

Answer 8

z score tells u how many Standard deviations ur looking away from the mean

Answer 9

22 to 22.5?

Answer 10

how many SD is that

Answer 11

1?

Answer 12

within 1

Answer 13

22 to 19.5 how many SD away is that

Answer 14

no not 1

Answer 15

they said 1 STD is 1 ounce

Answer 16

and u are looking at 0.5 ounce

Answer 17

so it's 0.5?

Answer 18

ya in thsi case

Answer 19

Zscore = (mean-Newvalue)/SD

Answer 20

for the other one, isn't the STD 3.5?

Answer 21

Zscore=(22-22.5)/1 = 0.5

Answer 22

its not STD

Answer 23

its just a Z score

Answer 24

and yep its 3.5

Answer 25

oh sorry about that

Answer 26

wait no its 2.5

Answer 27

not 3.5

Answer 28

how do we calculate the probability based on two z scores?