1) Using the binomial distribution, answer the following question. In the Southwest, 5% of all cell phone calls are dropped. What is the probability that out of six randomly selected called, exactly one will be dropped?
Group of answer choices
0
.393
.232
.001
2) Consider the following probability distribution below and calculate the expected value of x.
x f(x)
10 | .20 |
20 | .30 |
30 | .40 |
40 | .05 |
50 | .05 |
Group of answer choices
150
35
24.5
30
3) Using the binomial distribution, answer the following question. In the Southwest, 5% of all cell phone calls are dropped. What is the probability that out of six randomly selected called, exactly one will be dropped?
Group of answer choices
0
.393
.232
.001
4) If the variance of a uniform discrete probability distribution is 2.7644, what is the standard deviation?
Group of answer choices
1.6626
2.7644
1
1.3522
Part 1)
X ~ B ( n = 6 , P = 0.05 )
Part 2)
X | P ( X ) | X2 | X * P(X) |
10 | 0.2 | 100 | 2 |
20 | 0.3 | 400 | 6 |
30 | 0.4 | 900 | 12 |
40 | 0.05 | 1600 | 2 |
50 | 0.05 | 2500 | 2.5 |
Total | 1 | 5500 | 24.5 |
Mean
= 24.5
Part 3)
X ~ B ( n = 6 , P = 0.05 )
Part 4)
Variance
Standard deviation
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