6:27 PM CA.pdf Phoenix Files Instructions: OT103 94 K/S 1. This assignment must be submitted to info@stpas.org no later than 72 hours from 0:00 hrs, 30th September 2024. 2. Detailed workings and explanations of the steps taken to solve each problem must be provided. Extra marks will be awarded for thorough explanations. 3. Copying each other or using ChatGPT or any AI tool is strictly prohibited. Any such action will be detected and marked zero. 4. Maximum obtainable marks: 20. Questions (la) Define what is meant by an Index Number. (1b) The table below shows the price (in Naira) and quantity (in 1000 tons) of three agricultural products produced in Nigeria from 2020 to 2023: Year Cassava Price | Cassava Quantity Yam Price | Yam Quantity G-nut Price G-nut Quantity 2020 700 140 500 210 450 160 2021 750 145 550 225 500 170 2022 800 150 600 220 550 180 2023 850 155 650 230 600 190 Using the data provided, compute the Laspeyres and Paasche's price indices for the agricultural products over the given period. (2a) Let a random variable X take the values -4, 0, 2, and 5 with the following probabilities: (3k-2 k-1 k k+3) 12 12 12 12 Determine: (i) The value of k. (ii) The probability distribution of X. (iii) The expected value E(X). (2b) Given the probability density function of a random variable X: Calculate: (i) P(0.6≤ X ≤1). f(x)= 4x² if 0≤x≤1, otherwise (ii) The variance of X. (3a) A random variable X has a probability distribution function of the form F(x) = k(10-2), for x = 1,2,3,4,5,6. Find: (i) The value of the constant k (ii) The probability distribution function of X. (iii) The expected value of X. (iv) The standard deviation of X. (3b) A random variable X has the following probability distribution: x P(X) Calculate: (i) E((3x+2)²). (4a) Let X be a Poisson-distributed random variable with parameter A = 2. Show that: (i) E(X)-2. (ii) Var(X)=2. (iii) The moment generating function of X, Mx(t)=2(-1), (4b) Given the probability mass function P(k) = f(k; A) =, calculate: (i) f(1:2). (ii) f(3;1.5). (iii) f(2:3). (5a) How many unique permutations can be formed using the letters of the words: (i) ECONOMICS (ii) MATHEMATICIAN Rotate = Q Search n D Share
6:27 PM CA.pdf Phoenix Files Instructions: OT103 94 K/S 1. This assignment must be submitted to info@stpas.org no later than 72 hours from 0:00 hrs, 30th September 2024. 2. Detailed workings and explanations of the steps taken to solve each problem must be provided. Extra marks will be awarded for thorough explanations. 3. Copying each other or using ChatGPT or any AI tool is strictly prohibited. Any such action will be detected and marked zero. 4. Maximum obtainable marks: 20. Questions (la) Define what is meant by an Index Number. (1b) The table below shows the price (in Naira) and quantity (in 1000 tons) of three agricultural products produced in Nigeria from 2020 to 2023: Year Cassava Price | Cassava Quantity Yam Price | Yam Quantity G-nut Price G-nut Quantity 2020 700 140 500 210 450 160 2021 750 145 550 225 500 170 2022 800 150 600 220 550 180 2023 850 155 650 230 600 190 Using the data provided, compute the Laspeyres and Paasche's price indices for the agricultural products over the given period. (2a) Let a random variable X take the values -4, 0, 2, and 5 with the following probabilities: (3k-2 k-1 k k+3) 12 12 12 12 Determine: (i) The value of k. (ii) The probability distribution of X. (iii) The expected value E(X). (2b) Given the probability density function of a random variable X: Calculate: (i) P(0.6≤ X ≤1). f(x)= 4x² if 0≤x≤1, otherwise (ii) The variance of X. (3a) A random variable X has a probability distribution function of the form F(x) = k(10-2), for x = 1,2,3,4,5,6. Find: (i) The value of the constant k (ii) The probability distribution function of X. (iii) The expected value of X. (iv) The standard deviation of X. (3b) A random variable X has the following probability distribution: x P(X) Calculate: (i) E((3x+2)²). (4a) Let X be a Poisson-distributed random variable with parameter A = 2. Show that: (i) E(X)-2. (ii) Var(X)=2. (iii) The moment generating function of X, Mx(t)=2(-1), (4b) Given the probability mass function P(k) = f(k; A) =, calculate: (i) f(1:2). (ii) f(3;1.5). (iii) f(2:3). (5a) How many unique permutations can be formed using the letters of the words: (i) ECONOMICS (ii) MATHEMATICIAN Rotate = Q Search n D Share
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:6:27 PM
CA.pdf
Phoenix Files
Instructions:
OT103 94
K/S
1. This assignment must be submitted to info@stpas.org no later than 72 hours from 0:00 hrs, 30th September
2024.
2. Detailed workings and explanations of the steps taken to solve each problem must be provided. Extra marks will
be awarded for thorough explanations.
3. Copying each other or using ChatGPT or any AI tool is strictly prohibited. Any such action will be
detected and marked zero.
4. Maximum obtainable marks: 20.
Questions
(la) Define what is meant by an Index Number.
(1b) The table below shows the price (in Naira) and quantity (in 1000 tons) of three agricultural products produced in
Nigeria from 2020 to 2023:
Year Cassava Price | Cassava Quantity
Yam Price | Yam Quantity
G-nut Price
G-nut Quantity
2020
700
140
500
210
450
160
2021
750
145
550
225
500
170
2022
800
150
600
220
550
180
2023
850
155
650
230
600
190
Using the data provided, compute the Laspeyres and Paasche's price indices for the agricultural products over the
given period.
(2a) Let a random variable X take the values -4, 0, 2, and 5 with the following probabilities:
(3k-2 k-1 k k+3)
12 12 12 12
Determine:
(i) The value of k.
(ii) The probability distribution of X.
(iii) The expected value E(X).
(2b) Given the probability density function of a random variable X:
Calculate:
(i) P(0.6≤ X ≤1).
f(x)=
4x² if 0≤x≤1,
otherwise
(ii) The variance of X.
(3a) A random variable X has a probability distribution function of the form F(x) = k(10-2), for x = 1,2,3,4,5,6.
Find:
(i) The value of the constant k
(ii) The probability distribution function of X.
(iii) The expected value of X.
(iv) The standard deviation of X.
(3b) A random variable X has the following probability distribution:
x
P(X)
Calculate:
(i) E((3x+2)²).
(4a) Let X be a Poisson-distributed random variable with parameter A = 2. Show that:
(i) E(X)-2.
(ii) Var(X)=2.
(iii) The moment generating function of X, Mx(t)=2(-1),
(4b) Given the probability mass function P(k) = f(k; A) =, calculate:
(i) f(1:2).
(ii) f(3;1.5).
(iii) f(2:3).
(5a) How many unique permutations can be formed using the letters of the words:
(i) ECONOMICS
(ii) MATHEMATICIAN
Rotate
=
Q
Search
n
D
Share
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