STATISTICS

Statistics

Statistics

Answer 6

Two or more events are mutually exclusive or disjoint if they cannot occur simultaneously that is the occurrence of an event automatically prevents the occurrence of another event (or events). For example, a coin can only happen to come out heads or tails but not both at once, this means that these events are exclusive. Two or more events are not exclusive or joint; it is possible that both occur. This does not necessarily indicate that these events must occur simultaneously. For example, if we consider a game of dominoes score at least one white and one six, these events are not mutually exclusive because they may leave the six white.

Answer 7

When A and B are two events with positive probability, we have seen that in general the conditional probability of event B given event A is different from the probability of event B. However, when one has the equation: P (B / A) = P (B) is particularly important because this means that the event B is not dependent or independent of Event A. That is, no matter whether it happened or not event A given that the occurrence or nonoccurrence of the event A does not affect B.

In this context, the study of the independence of events or experiments is to investigate whether the events or experiences are linked or occur independently of each other (One can reasonably think that the drinking of alcohol and cause an accident that are not independent from each other). The odds have built their definition of independence from the notion of independence in statistics: a statistical nature is independent of sex, for example, if the distribution of character is the same whether we take the total population, the males or females.

Answer 8

Movie Lengths in Minutes

110

95

131

257

118

153

Standard Deviation

58.74

Answer 9

The movie lengths are considered unusual as the standard deviation of the movie is too high which reflect that the movie lengths are unusual.

Answer 13

At 99 % confidence interval, the mean weight of adult men is 79.334.

Answer 14

There is 100 percent probability that a randomly selected senior is in exactly one of the two classes.

Answer 15

There is zero percent that the student is in the French class and also in the Spanish class.

Answer 16

There are 3 elements in the sample space of the experiment as the box contains 10 chips from which three are selected.

Answer 17

The probability that the three numbers drawn are not all same is;

1

x

1

x

1

=

0.001

10

10

10

Answer 18

The probability that the three numbers drawn are not all different is;

1

x

2

x

3

=

0.006

10

9

8

Answer 19

x

P (x)

Expected Value of x

- 3

0.08

- 0.24

- 2

0.11

- 0.22

4

0.28

1.12

6

0.12

0.72

7

0.41

2.87

4.25

Answer 20

x

- 3

- 2

4

6

7

Standard Deviation of x

4.6

Answer 21

Binomial Problem with n = 12 and p(show up) = 0.8

P ( 0 < = x < = 10) = binomcdf (12, 0.8, 10) = 0.7152

Answer 22

Moreover, it is expected that 7.2 passengers will show up, as:

E(x) = np = 12 (0.8) = 7.2

Answer 23

The testing hypothesis is mentioned below;

H0 : µ “mu = 750

H1 : µ “mu < 750

One - Sample ...