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Science-Related Homework Help Statistics and Probability Topic started by: asdoooeoe on Mar 18, 2020



Title: Male players at the high school, college and professional ranks use a regulation basketball that ...
Post by: asdoooeoe on Mar 18, 2020
Male players at the high school, college and professional ranks use a regulation basketball that weighs 22.0 ounces with a standard deviation of 1.0 ounce. Assume that the weights of basketballs are approximately normally distributed.

Roughly what percentage of regulation basketballs weigh less than 20.7 ounces? Round to the nearest tenth of a percent.

▸ 40.3% of the basketballs will weigh less than 20.7 ounces.

▸ 5.7% of the basketballs will weigh less than 20.7 ounces.

▸ 22.3% of the basketballs will weigh less than 20.7 ounces.

▸ 9.7% of the basketballs will weigh less than 20.7 ounces.


Title: Male players at the high school, college and professional ranks use a regulation basketball that ...
Post by: Kaajalp on Mar 18, 2020
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Title: Re: Male players at the high school, college and professional ranks use a regulation basketball that ...
Post by: annabananerz on Aug 4, 2022
Use the following information for the question. Male players at the high school, college and professional ranks use a regulation basketball that weighs 22.0 ounces with a standard deviation of 1.0 ounce. Assume that the weights of basketballs are approximately normally distributed.

Roughly what percentage of regulation basketballs weigh less than 20.7 ounces? Round to the nearest tenth of a percent.

Answered- 9.7% of the basketballs will weigh less than 20.7 ounces

If a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces? Round to the nearest thousandth.

____??___

A) 0.134 B) 0.267 C) 0.866 D) 0.704


Title: Re: Male players at the high school, college and professional ranks use a regulation basketball that
Post by: sudenzia on Aug 4, 2022
(A)

mean = 22
Std Dev (s) =1
To find : P( x < 20.7 )
z = ( x - u )/s = ( 20.7 - 22 )/1 = -1.3

P( x < 20.7) = P( Z < -1.3)
= 0.0968 _ _ _ _ _ _ _ _ _ (From Z-table)
= 9.68%
(B)

mean = 22
std dev = 1
Find : P( 20.5 < X < 23.5 )
We convert to standard normal form, by z = (x - u )/s
so z1 = (20.5 - 22 )/1 = -1.5
& z2 = (23.5 - 22 )/1 = 1.5

P( 20.5 < X < 23.5) = P(z1 < Z < z2) = P( Z < 1.5) - P(Z < -1.5)
= 0.93319 - 0.06681
= 0.86638 _ _ _ _ _ _ _ _ _ (From Z-table)
ANSWER: C) 0.866

Use the following information for the question. Male players at the high school, college and professional ranks use a regulation basketball that weighs 22.0 ounces with a standard deviation of 1.0 ounce. Assume that the weights of basketballs are approximately normally distributed.

Roughly what percentage of regulation basketballs weigh less than 20.7 ounces? Round to the nearest tenth of a percent.

Answered- 9.7% of the basketballs will weigh less than 20.7 ounces

If a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces? Round to the nearest thousandth.

____??___

A) 0.134 B) 0.267 C) 0.866 D) 0.704