Prescott National Bank has 6 tellers available to serve customers. Let the random variable X be the number of tellers that are busy at 1pm on any given business day. The following is the probability...

Prescott National Bank has 6 tellers available to serve customers.  Let the random variableX be the number of tellers that are busy at 1pm on any given business day.  The following is the probability distribution ofX:

Find the probability that 4 or fewer tellers are busy,  P(X <>

A) 0.31

B) 0.44

C) 0.52

D) 0.57

Find the mean of the random variableX,  μμ_X

_{A) 3}

_{B) 4.16}

_{C) 4.88}

_{D) 3.34}

_{E) 3.5}

_{Find the standard deviation of the random variableX,  σσ  X =}

_{A) 1.0226}

_{B) 0.7291}

_{C) 1.5213}

_{D) 1.8183}