BITI 2233 - Statistics And Probability, A Histogram of The Height of Males & Females, Food/ Groceries, Standard Deviation of X - Statistics Assignment Help

Assignment Task

1. Refer to the dataset of money spending. The data has been collected from a group of students AMONG YOUR FRIENDS/ CLASSMATES/ COURSEMATES about their spending of money per month. Choose only Set 1 or Set 2 from the dataset.

The following data has been prepared:
o Variable-A: (Quantitative-CONTINUOUS) Pocket money received each semester
o Variable-BX: (Quantitative-CONTINUOUS) Spending per month for the:
1- Variable-B1: Needs - house/ hostel rental
2- Variable-B2: Needs - Food/ groceries
3- Variable-B3: Needs – Transportation
4- Variable-B4: Needs – Bill & utilities
5- Variable-B5: Savings – an emergency fund
6- Variable-B6: Savings – loan repayment (if any)

Question 2
Question 2a 
A recent national study showed that approximately 44.7% of college students have used Wikipedia as a source in at least one of their term papers. Let X equal the number of students in a random sample of size n = 31 who have used Wikipedia as a source.
a) How is X distributed?
b) Sketch the probability mass function (roughly).
c) Sketch the cumulative distribution function (roughly).
d) Find the probability that X is equal to 17.
e) Find the probability that X is at most 13.
f) Find the probability that X is bigger than 11.
g) Find the probability that X is at least 15.
h) Find the probability that X is between 16 and 19, inclusive.
i) Give the mean of X, denoted E(X).
j) Give the variance of X.
k) Give the standard deviation of X.
l) Find E(4X + 51.324

Question 2b 
A plate of hors d’oeuvres contains two types of filled puff pastry –chicken and shrimp. The entire platter has 15 pastries –8 chicken and 7 shrimp. From the outside, the pastries appear identical and they are randomly distributed on the tray.

Choose three at random.

Q-What is the probability that a) all are chicken; b) all are shrimp; c) all have the same filling?

Question 3

Student’s height analysis
You are interested to investigate the heights of students in the provided data set. The student's data set consists of 8239 rows, each of them representing a particular student, and 16 columns, each of them corresponding to a variable/feature related to that particular student. These self-explaining variables are stud.id, name, gender, age, height, weight, religion, nc. the score, semester, major, minor, score1, score2, online. tutorial graduated salary.

Based on this data set, answer the following question by using R:
1.Create a histogram of the height of students. (you may use the ggplot2 package to make a variety of histograms).
2.Create a histogram of the height of males and females.
3.Calculate the mean and standard deviation of the height of males and females.
4.Calculate the probability of a randomly picked female student from the student data set with a height less or equal to 161 cm.
5.Calculate the probability of a randomly picked female student from the student's data set with a height higher or equal to 170 cm.
6.Calculate the probability of a randomly picked female student from the student's data set with a height between 150 and 160.
7.Calculate the probability of a randomly picked female student from the student's data set with a height between 170 and 180.
8.What can you conclude both probabilities in questions 6 and 7?
9.We want to know the height of female students in our student data set that corresponds to a probability of 0.25.
10.We want to know the height of male students in our student's data set that corresponds to a probability of 0.25.

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