At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 25 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon. Part (a) In words, define the Random Variable X. ○ the different types of weapons the number of fencers that do use the foil as their main weapon O the number of fencers that do not use the foil as their main weapon O the number of fencers at The Fencing Center Part (b) List the values that X may take on. OX= 1, 2, 3, ..., 25 OX= 0, 1, 2, . . ., 60 OX 0, 1, 2,..., 25 OX 1, 2, 3, . . ., 60 Part (c) Give the distribution of X. ·囗(口.口) Part (d) How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.) fencers - Part (e) Find the probability that five do not use the foil as their main weapon. (Round your answer to four decimal places.) Part (f) Based on numerical values, would you be surprised if all 25 did not use foil as their main weapon? Yes. The probability of all 25 fencers not using the foil as their main weapon is small (less than 1%). ○ No. The probability of all 25 fencers not using the foil as their main weapon is large (more than 10%).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 4E
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At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 25 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon.
Part (a)
In words, define the Random Variable X.
○ the different types of weapons
the number of fencers that do use the foil as their main weapon
O the number of fencers that do not use the foil as their main weapon
O the number of fencers at The Fencing Center
Part (b)
List the values that X may take on.
OX= 1, 2, 3, ..., 25
OX= 0, 1, 2, . . ., 60
OX 0, 1, 2,..., 25
OX 1, 2, 3, . . ., 60
Part (c)
Give the distribution of X.
·囗(口.口)
Part (d)
How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.)
fencers
- Part (e)
Find the probability that five do not use the foil as their main weapon. (Round your answer to four decimal places.)
Part (f)
Based on numerical values, would you be surprised if all 25 did not use foil as their main weapon?
Yes. The probability of all 25 fencers not using the foil as their main weapon is small (less than 1%).
○ No. The probability of all 25 fencers not using the foil as their main weapon is large (more than 10%).
Transcribed Image Text:At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 25 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon. Part (a) In words, define the Random Variable X. ○ the different types of weapons the number of fencers that do use the foil as their main weapon O the number of fencers that do not use the foil as their main weapon O the number of fencers at The Fencing Center Part (b) List the values that X may take on. OX= 1, 2, 3, ..., 25 OX= 0, 1, 2, . . ., 60 OX 0, 1, 2,..., 25 OX 1, 2, 3, . . ., 60 Part (c) Give the distribution of X. ·囗(口.口) Part (d) How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.) fencers - Part (e) Find the probability that five do not use the foil as their main weapon. (Round your answer to four decimal places.) Part (f) Based on numerical values, would you be surprised if all 25 did not use foil as their main weapon? Yes. The probability of all 25 fencers not using the foil as their main weapon is small (less than 1%). ○ No. The probability of all 25 fencers not using the foil as their main weapon is large (more than 10%).
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