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

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

orchestra answered 2 years ago

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