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# Assignment No.2 (Course STA301)

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Any body have any idea about STA301

Assignment No: 2 (Lessons 28 – 30)
Question 1: Marks: 3+4=7
a) A box contains 4 red and 5 white flowers. A random sample of 6 flowers is drawn without replacement from the box. Find the probability that the sample contains 3 red flowers.
b) If X is binomially distributed with mean 8 and variance 4.8, then find the parameters of binomial distribution.
Question 2: Marks: 3+5=8
a) Suppose the number of defective screws produced by a machine per day follows Poisson distribution with parameter 2. What is the probability that, out of the total production of the day, there are at least one defective screw?
b) The Army reports that the distribution of head circumferences among soldiers is approximately normal with mean 23.4 inches and standard deviation 1.4 inches. What percent of soldiers have a head circumference between 21.0 inches and 24.0 inches?

# Spring 2015 (Total Marks 15)

31st July 2015, 23:59, 2015

STUDENTS ARE STRICTLY DIRECTED TO SUBMIT THEIR ASSIGNMENT BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE ACCEPTED VIA E.MAIL).

### Rules for Marking

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• The Assignment submitted, via email, after due date.
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• The Statistical notations/symbols are not well-written i.e., without using MathTypesoftware.
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• Assignment means Comprehensive yet precise accurate details about the given topic quoting different sources (books/articles/websites etc.). Do not rely only on handouts. You can take data/information from different authentic sources (like books, magazines, website etc) BUT express/organize all the collected material in YOUR OWN WORDS. Only then you will get good marks.

### Objective(s) of this Assignment:

This assignment will strengthen the basic idea about the concept of the following distributions:

• Binomial distribution
• Hypergeometric distribution
• Poisson distribution
• Normal distribution

Assignment No: 2 (Lessons 28 – 30)

Question 1:                                                                                                       Marks: 3+4=7

a)      A box contains 4 red and 5 white flowers. A random sample of 6 flowers is drawn without replacement from the box. Find the probability that the sample contains 3 red flowers.

b)      If X is binomially distributed with mean 8 and variance 4.8, then find the parameters of binomial distribution.

Question 2:                                                                                                          Marks: 3+5=8

a)       Suppose the number of defective screws produced by a machine per day follows Poisson distribution with parameter 2. What is the probability that, out of the total production of the day, there are at least one defective screw?

b)       The  Army  reports  that  the  distribution  of  head  circumferences  among  soldiers is  approximately  normal  with  mean  23.4 inches  and  standard  deviation 1.4 inches. What  percent  of  soldiers  have  a  head  circumference  between  21.0  inches and   24.0  inches?

Our main purpose here discussion not just Solution

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b)       The  Army  reports  that  the  distribution  of  head  circumferences  among  soldiers is  approximately  normal  with  mean  23.4 inches  and  standard  deviation 1.4 inches. What  percent  of  soldiers  have  a  head  circumference  between  21.0  inches and   24.0  inches?

with X ~ N(23.4, 1.4) given:

Therefore

P( 21.0 < X < 24.0 ) = 0.6228

Spring2015_STA301_2 Assignment Solution BY Zain Nasar

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thanks bro

Thanx Alot Zain Nasar bro for ur help

Thanxx Zain bhi :) :)

Yar yeh questions kis lectures me sy hain koi bata skta?

Hafiz Muhammad Haris  from Assignment No: 2 (Lessons 28 – 30)

‪#‎STA301‬ Similar Example:
Assignment #2 Question 2:
a) Suppose the number of defective screws produced by a machine per day follows Poisson distribution with parameter 2. What is the probability that, out of the total production of the day, there are at least one defective screw?

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