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Given a random variable X normally distributed as N(m,σ2) find probabilities P(X>a),a>m;P(X<b),b<m.
Metadata
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Clodagh Carroll 8 years, 5 months ago
Published this.Clodagh Carroll 9 years ago
Created this as a copy of Calculate probabilities from a normal distribution.There are 45 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| units1 | string |
k Wh
|
||||
| upper | integer |
1140
|
||||
| lower | integer |
970
|
||||
| p1 | number |
0.9015
|
||||
| m | integer |
1050
|
||||
| s | integer |
70
|
||||
| zupper | decimal |
dec("1.29")
|
||||
| p | number |
0.8729
|
||||
| amount | string |
electricity consumption
|
||||
| p2 | number |
0.1271
|
||||
| tol | number |
0.01
|
||||
| zlower | decimal |
dec("1.14")
|
||||
| stuff | string |
a frozen foods warehouse each
|
||||
| prob2 | number |
0.10
|
||||
| prob3 | number |
0.77
|
||||
| prob1 | number |
0.13
|
Generated value: string
- Statement
- "Unnamed part" - prompt
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
Find the probability that in a particular week the {amount} is less than {lower} {units1}:
Probability = ?
Find the probability that in a particular week the {amount} is greater than {upper} {units1}:
Probability = ?
Find the probability that in a particular week the {amount} is between {lower}{units1} and {upper} {units1}:
Probability = ?
Use this tab to check that this question works as expected.
| Part | Test | Passed? |
|---|---|---|
| Gap-fill | ||
| Hasn't run yet | ||
| Number entry | ||
| Hasn't run yet | ||
| Number entry | ||
| Hasn't run yet | ||
| Number entry | ||
| Hasn't run yet |
This question is used in the following exams:
- STAT6011 All by Julie Crowley in STAT6011 Statistics and Financial Mathematics for Business.
- Probability Distributions by Deirdre Casey in Deirdre's workspace.
- MATH6059 Introduction to Probability/ Probability Distributions by Catherine Palmer in MATH6059.
- Probability Distributions Draft 1 by Rachel Gargan in Rachel's workspace.
- Distributions I by Jeremie Wenger in Jeremie's workspace.
- STAT6011 Tutorial 2 Probability Distributions by Julie Crowley in STAT6011 Statistics and Financial Mathematics for Business.
- STAT6013 Probability Distributions by Catherine Palmer in STAT6013.
- Declan's copy of STAT6011 Tutorial 4 for 2021 (Normal Distribution and Regression & Correlation) by Declan Manning in STAT6011 (Declan's Copies).
- Probability Maths 3 by Aoife O'Brien in Aoife's workspace.
- Vincent's copy of STAT7007 Probability Distributions by Vincent Cregan in STAT7007.
- STAT7007 Probability Distributions by Catherine Palmer in STAT7007.
- STAT6011 Tutorial 4 for 2021 (Normal Distribution and Regression & Correlation) by Patricia Cogan in STAT6011 Statistics and Financial Mathematics for Business.
- STAT7008 Probability Distributions by Catherine Palmer in STAT7008.
- MATH6059 Tutorial 2B Probability Distributions by Catherine Palmer in MATH6059.
- Probability Distributions by Paula Harrison in STAT8005.