A sample of cell phone signal strength (in number of bars) at randomly selected

Question

A sample of cell phone signal strength (in number of bars) at randomly selected locations within a predetermined area resulted in the following data. The sites were randomly selected. a. Define the experiment. b. List the simple events for the experiment. c. Assign probabilities to the simple events based on usage. d. What is the probability that a test point will have more than three bars? e. What is the probability that a test point will have two or three bars? f. What is the probability that a test point will have at least one bar?

Explanation / Answer

a)

Eperiment is "find the distribution of signal strengths (that is number of bars) at randomly selected locations within predetermined area". The sampel sapce will consists of different number of signal bars. Following is the sample space:

S = {0, 1, 2, 3, 4, 5}

b)

The simple events:

A = number of bars is zero

B = number of bar is one

C = number of bars is two

D = number of bars is three

E = number of bars is four

F = number of bars is five

c)

Following table shows the probabilites:

d)

The probability that a test point will have more than three bars is

P(more than 3 bars) = P(E) + P(F) = 0.2966 +0.1935 = 0.4901

e)

The probability that a test point will have two or three bars is

P(2 or 3 bars) = P(C) + P(D) = 0.2966 +0.1935 = 0.3821

f)

The probability that a test point will have at least one bar is

P(at least one bar) =1 -P(0 bar) = 1 - 0.0133 = 0.9867

Number of bars, X Number of sites with that Signal strength , f P(X=x)=f/1659 A 0 22 0.0133 B 1 190 0.1145 C 2 221 0.1332 D 3 413 0.2489 E 4 492 0.2966 F 5 321 0.1935 Total 1659 1

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