Question No Mean Q 11 Std. dev. X Result reater/Less/Betwee Answer 50 4 44 50 4 55 Q12 50 st Between 44-55 4 55 Greater than 55 Q13 50 4 52 50 4 55 Between 52-55 Q14 3401 82.5 3500 More than 3500 Q15 3401 82.5 3500 3401 82.5 3579 Between 3500-3579 Q16 3401 82.5 3325 3401 82.5 3579 Between 3325-3579 Q17 15 3.5 20 More than 20 Q18 15 3.5 20 Less than 20 Q19 15 3.5 10 15 3.5 12 Between 10-12 Q20 15 3.5 15 15 3.5 20 Between 15-20

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 25E
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Question

A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?

1. Compute the probability of a value between 44.0 and 55.0.

(The question requires finding probability value between 44 and 55. Solve it in 3 steps.

  • In the first step, use the above formula and x = 44, calculate probability value.
  • In the second step repeat the first step with the only difference that x=55.

In the third step, subtract the answer of the first part from the answer of the second part.)

2. Compute the probability of a value greater than 55.0.

Use the same formula, x=55 and subtract the answer from 1.

3. Compute the probability of a value between 52.0 and 55.0.

(The question requires finding probability value between 52 and 55. Solve it in 3 steps.

  • In the first step, use the above formula and x = 52, calculate probability value.
  • In the second step repeat the first step with the only difference that x=55.

In the third step, subtract the answer of the first part from the answer of the second part.)

Question No Mean
Q 11
Std. dev. X
Result reater/Less/Betwee Answer
50
4
44
50
4
55
Q12
50
st
Between 44-55
4
55
Greater than 55
Q13
50
4
52
50
4
55
Between 52-55
Q14
3401
82.5
3500
More than 3500
Q15
3401
82.5
3500
3401
82.5
3579
Between 3500-3579
Q16
3401
82.5
3325
3401
82.5
3579
Between 3325-3579
Q17
15
3.5
20
More than 20
Q18
15
3.5
20
Less than 20
Q19
15
3.5
10
15
3.5
12
Between 10-12
Q20
15
3.5
15
15
3.5
20
Between 15-20
Transcribed Image Text:Question No Mean Q 11 Std. dev. X Result reater/Less/Betwee Answer 50 4 44 50 4 55 Q12 50 st Between 44-55 4 55 Greater than 55 Q13 50 4 52 50 4 55 Between 52-55 Q14 3401 82.5 3500 More than 3500 Q15 3401 82.5 3500 3401 82.5 3579 Between 3500-3579 Q16 3401 82.5 3325 3401 82.5 3579 Between 3325-3579 Q17 15 3.5 20 More than 20 Q18 15 3.5 20 Less than 20 Q19 15 3.5 10 15 3.5 12 Between 10-12 Q20 15 3.5 15 15 3.5 20 Between 15-20
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