Question

In: Statistics and Probability

Assuming you will speak to 30 people attending a conference, if there is a 28% chance...

Assuming you will speak to 30 people attending a conference, if there is a 28% chance they are staying in the hotel hosting the conference. Find the following binomial probabilities.

What is the chance that more than 10 people are staying in the hosting hotel?

Answer 1 Choose...0.1943 0.0138 0 100% 0.0495

What are the chances that everyone you talk to is staying at the hosting hotel?

Answer 2 Choose...0.1943, 0.0138, 0, 100%, 0.0495

What are the chances you don't really care who stays?

Answer 3 Choose...0.1943, 0.0138, 0, 100%, 0.0495

What is the chance that exactly 14 people are staying in the hosting hotel?

Answer 4 Choose...0.1943, 0.0138, 0, 100%, 0.0495

What are the chances you don't talk to anyone staying at the hotel?

Answer 5 Choose...0.1943, 0.0138, 0, 100%, 0.0495

What is the chance 4 or fewer are staying in the hosting hotel?   

Answer 6 Choose...0.1943, 0.0138, 0, 100%, 0.0495

Solutions

Expert Solution

Assuming you will speak to 30 people attending a conference, if there is a 28% chance they are staying in the hotel hosting the conference. Find the following binomial probabilities.

What is the chance that more than 10 people are staying in the hosting hotel?

Answer 1 Choose...0.1943

What are the chances that everyone you talk to is staying at the hosting hotel?

Answer 2 Choose... 0

What are the chances you don't really care who stays?

Answer 3 Choose.. ... 100%

What is the chance that exactly 14 people are staying in the hosting hotel?

Answer 4 Choose... 0.0138

What are the chances you don't talk to anyone staying at the hotel?

Answer 5 Choose...0

What is the chance 4 or fewer are staying in the hosting hotel?   

Answer 6 Choose... 0.0495

Binomial Probabilities

Data

Sample size

30

Probability of an event of interest

0.28

Statistics

Mean

8.4

Variance

6.0480

Standard deviation

2.4593

Binomial Probabilities Table

X

P(X)

P(<=X)

P(<X)

P(>X)

P(>=X)

0

0.0001

0.0001

0.0000

0.9999

1.0000

1

0.0006

0.0007

0.0001

0.9993

0.9999

2

0.0035

0.0041

0.0007

0.9959

0.9993

3

0.0125

0.0166

0.0041

0.9834

0.9959

4

0.0329

0.0495

0.0166

0.9505

0.9834

5

0.0665

0.1161

0.0495

0.8839

0.9505

6

0.1078

0.2238

0.1161

0.7762

0.8839

7

0.1437

0.3676

0.2238

0.6324

0.7762

8

0.1607

0.5282

0.3676

0.4718

0.6324

9

0.1527

0.6810

0.5282

0.3190

0.4718

10

0.1247

0.8057

0.6810

0.1943

0.3190

11

0.0882

0.8939

0.8057

0.1061

0.1943

12

0.0543

0.9482

0.8939

0.0518

0.1061

13

0.0292

0.9775

0.9482

0.0225

0.0518

14

0.0138

0.9913

0.9775

0.0087

0.0225

15

0.0057

0.9970

0.9913

0.0030

0.0087

16

0.0021

0.9991

0.9970

0.0009

0.0030

17

0.0007

0.9998

0.9991

0.0002

0.0009

18

0.0002

0.9999

0.9998

0.0001

0.0002

19

0.0000

1.0000

0.9999

0.0000

0.0001

20

0.0000

1.0000

1.0000

0.0000

0.0000

21

0.0000

1.0000

1.0000

0.0000

0.0000

22

0.0000

1.0000

1.0000

0.0000

0.0000

23

0.0000

1.0000

1.0000

0.0000

0.0000

24

0.0000

1.0000

1.0000

0.0000

0.0000

25

0.0000

1.0000

1.0000

0.0000

0.0000

26

0.0000

1.0000

1.0000

0.0000

0.0000

27

0.0000

1.0000

1.0000

0.0000

0.0000

28

0.0000

1.0000

1.0000

0.0000

0.0000

29

0.0000

1.0000

1.0000

0.0000

0.0000

30

0.0000

1.0000

1.0000

0.0000

0.0000


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