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Home Q & A Board Science-Related Homework Help Mathematics Statistics and Probability
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asdoooeoe asdoooeoe
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2 years ago
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.
Textbook 
Introductory Statistics: Exploring the World Through Data

Introductory Statistics: Exploring the World Through Data


Edition: 2nd
Authors:
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KaajalpKaajalp
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2 years ago
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9.7% of the basketballs will weigh less than 20.7 ounces.
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wrote...
#2
A week ago
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
wrote...
#3
A week ago
(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

Quote from: annabananerz (A week ago)
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
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