 Uncategorized
 May 27, 2020
Statistics
Duedate
Question1

Probability of drawing a queen: P(Queen) or 0.08

Probability of drawing a heart: P(Heart) or 0.25

Probability of drawing a red card: P(Red card) or 0.50
Question2

Probability of selecting a person with blood group : P( or 0.06

Probability of choosing a person with blood type
P(

Probability of not selecting a person with blood type:
Thus
Question3

Incident
Swerved
Sped up
Cut off a car
Almost hit a car
Number of incidents
44
40
20
19
Thetotal number of incidents is 123
Theprobability that a randomly chosen event involves cutting off a caris
Question4

Simple event

Not a simple event

Simple event
Question5
Thefundamental counting principle is a standard way of determining thenumber of ways two or more operations can be performed. Using thisprinciple the number of different shirts available from the companyis
Question6
Classicalprobability is a statistical measure of equally likely cases.
Asubjective probability is a statistical measure derived from thepersonal judgment of the researcher about whether a particularoutcome will occur
Empiricalprobability is a measure of the likelihood that tackles real lifesituations rather than theoretical cases.

Classical probability

Subjective probability

Empirical probability
Question7
Twoevents are said to be dependent on each other if the results of thesecond experiment are affected by the results of the previous test.

Independent events

Dependent events
Question8
Letthe event that the student is a sophomore be A and the event that thestudent does not own a credit card be B. These events are dependenton each other. Therefore
Thus
Question9
Thereare 52 cards among which 4 are "eights." Therefore, let thefirst "eight" card chosen be A and the second card be B.
.Thus
Question10
Twoevents are said to be mutually exclusive if the occurrence of oneevent precludes the occurrence of the other.

Not mutually exclusive

Mutually exclusive
Question11
Thestated events can occur at the same time hence they are not mutuallyexclusive events.
Question12: Part I
Acombinatorial arrangement is one in which the order in which theelements are put does not matter. On the other hand withpermutations, the arrangement of items is of paramount importance. Wecould say a permutation is an ordered combination

Permutation

Permutation

Combination
Question12: Part II
nCrgives the possible combinations of the five numbers
where_{60}C_{5} .There are 5,461,512 possible combinations of the five numbers. Bybuying one ticket, the probability of winning the lottery is
Question13
Adiscrete variable takes finite values while a continuous variabletake infinite values

Discrete variable

Continuous variable

Continuous variable

Discrete variable
Question14
=
Question15
Distributionis said to be a probability distribution if the following conditionsare met

The sum of all probabilities should total to 1

Individual probabilities should not be more than one
1 
2 
3 
4 
5 
TOTAL 

0.37 
0.12 
0.14 
0.07 
0.03 
1 
Consideringthe conditions indicated above this is a probability distribution.The sum of all probabilities totals to 1 whereas the individualprobabilities are less than 1
1 
2 
3 
4 
5 
TOTAL 

1.2 
1.1 
1.2 
1.4 
1.1 
6 
Thisdistribution is not a probability distribution. The sum of allprobabilities is greater than 1 and the individual expectations arebigger than one. It violates the earlier stated conditions.
Question16
0 
0.03 
0 
1.09 
1.1881 
0 
1 
0.45 
0.45 
0.09 
0.0081 
0.0036 
2 
0.15 
0.3 
0.91 
0.8281 
0.2484 
3 
0.06 
0.18 
1.91 
3.6481 
0.6567 
4 
0.04 
0.16 
2.91 
8.4681 
1.3549 
Totals 
1 
1.09 
2.2636 
Question17

This does not represent a binomial distribution because there is no indication of repeated Bernoulli events. There are no two possible outcomes because the drugs are ordered from the most efficient to the least effective.

This is a binomial distribution because we find several repeated Bernoulli events. One painkiller is tested on 740 people, and it has two possible outcomes to every person. It is either effective or not effective.
Question18
Question19
=
_{n}C_{x}
_{10}C_{0}_{10}C_{1}_{10}C_{2}_{10}C_{3}_{10}C_{4}_{10}C_{5}
Question20

Area is

Area is
Question21
Letbe a random variable representing the length of pregnancies
Therefore,standard deviation
(> 245)
Question22
Letbe a random variable representing the heights of women
Therefore,standard deviation
(62.0)
Question23
Yes,we can use a normal distribution to approximate the binomialdistribution. According to the Central Limit Theorem provided thesample size is sufficiently large any distribution tends to normality. Thus, in this case, the samplesize is greater than 30, and we can apply the CTL theorem toapproximate the binomial distribution using a normal distribution.
Bonusquestions

This is a Poisson distribution with
Giventhat
0.07

This is a geometric distribution with