The number of telephone calls arriving at an exchange during any given minute between noon and 1:00 P.M. on a weekday is a random variable with the following probability distribution. x P(x) 0 0.3 1 0 .2 2 0.2 3 0.1 4 0.1 5 0 .1 a) Verify that P (x) is a probability distribution.
The number of telephone calls arriving at an exchange during any given minute between noon and 1:00 P.M. on a weekday is a random variable with the following probability distribution. x P(x) 0 0.3 1 0 .2 2 0.2 3 0.1 4 0.1 5 0 .1 a) Verify that P (x) is a probability distribution.
The number of telephone calls arriving at an exchange during any given minute between noon and 1:00 P.M. on a weekday is a random variable with the following probability distribution. x P(x) 0 0.3 1 0 .2 2 0.2 3 0.1 4 0.1 5 0 .1 a) Verify that P (x) is a probability distribution.
The number of telephone calls arriving at an exchange during any given minute between noon and 1:00 P.M. on a weekday is a random variable with the following probability
distribution.
x P(x)
0 0.3
1 0 .2
2 0.2
3 0.1
4 0.1
5 0 .1
a) Verify that P (x) is a probability distribution.
b) Find the cumulative distribution function of the random variable.
c) Use the cumulative distribution function to find the probability that between 12:34 and
12:35 P.M. more than two calls will arrive at the exchange.
d) Find the expected value of the random variable in the problem.
e) Also find the variance of the random variable and its standard deviation.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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