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Tutorial letter 204/0/2023 Descriptive Statistics and Probability STA1501 Year module Department of Statistics PART A: 20 Marks State whether the following statements are true or false. QUESTION 1 Answer:. This is because...

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  • 15 de septiembre de 2023
  • 18
  • 2023/2024
  • Examen
  • Preguntas y respuestas

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  • statl2040esolutionstoassignment4
  • descriptive statistics and probability

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  • University Of South Africa
  • STA 1501 (STA1501)
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STA1501/204/0/20
23




Tutorial letter 204/0/2023


Descriptive Statistics and Probability
STA1501

Year module


Department of Statistics


Solutions to Assignment 4




university
Define tomorrow. of south
africa

, SOLUTIONS TO ASSIGNMENT 04
Unique Nr.: 721906
Opening date: 15 June
Closing date: 12 july



PART A: 20 Marks


State whether the following statements are true or false.

QUESTION 1

Answer: True.

This is because there is an infinite number of possible values.

QUESTION 2

Answer: False.

In a normal distribution: the mean, median and mode are all at the same position on
the horizontal axis.

QUESTION 3

Answer: False.

The mean equals to zero is not a characteristic for a normal distribution.

QUESTION 4

Answer:
True.
µ = 18 and σ 2 = 9 than σ = 3.
x—µ 15 — 18
P (X ≥ 15) = P ≥ 15 =P Z ≥
σ 3
= P (Z ≥ —1.00)
= 0.1587.




2

, STA1501/204/0/20
23
QUESTION 5

Answer: False.

The probability to the right of z = 2.18 is 0.0146.

QUESTION 6

Answer: True.


● The total area under the curve equals to 1.
● The remaining area under the curve is 1 — 0.9904 = 0.0096.


● The value of z1 is equivalent to the corresponding 0.0096
value of to z1 = 2.59. = 0.0048 which corresponds
2
QUESTION 7

Answer: False.

Z is a standardized normal probability distribution.

P (Z = 2.10) = 0.
The probability of each individual value is zero in the case of continuous probability
distribution.

QUESTION 8

Answer: True.

Uniform distribution is a continuous probability distribution therefore the probability of
each individ- ual value is zero.

QUESTION 9

Answer: True.

QUESTION 10

Answer: False.
The standard
σ deviation of the sampling of the mean σ (from the original population).
x =
¯ ,
n




3

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