Does this table represent a proportional relationship
2 answers:
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Answer:
4 games played = 1/56
5 games played = 5/56
6 games played = 15/56
7 games played = 35/56
Step-by-step explanation:
The probability of each time winning is 0.5
So there are a couple of ways the series could go.
- Team A could win all first 4 matches. We can depict this as A-A-A-A
- Team A could win 4, while having lost 1. Lets depict this a A-B-A-A-A
- Team A could win 4, while having lost 2. A-B-B-A-A-A
- Team A could win 4, while having lost 3. A-B-B-B-A-A-A
These 4 possibilities could be repeated with B winning as well. It should be noted that these are the only ways for the series to end. We find the number of permutations of each possibility above to find their probability.
I advise you to study 'how to permute identical objects' for this.
These permutations are stated below:
1. 4!/4! = 1
2. = 5
3 = 15
4 = 35
These are they ways A or B could win. The total is 1+5+15+35 = 56. The answer given thus reflects the possibilities.
Answer:
75% of college students exceed 6.63 minutes when trying to find a parking spot.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 10 minutes
Standard Deviation, σ = 5 minutes
We are given that the distribution of time for parking is a bell shaped distribution that is a normal distribution.
Formula:
P(X < x) = 0.25
We have to find the value of x such that the probability is 0.25.
P(X < x)
Calculation the value from standard normal z table, we have,
Hence, 75% of college students exceed 6.63 minutes when trying to find a parking spot.