The mean starting salary for nurses is 67,694 dollars nationally. The standard dev 10,333 dollars. Assume that the starting salary is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000. a) State the random variable. rv X = a randomly selected nurse app b) Find the probability that a randomly selected nurse has a starting salary of 40795.7 dollars or more. 0.9953 c) Find the probability that a randomly selected nurse has a starting salary of 83830.2 dollars or less. 0.9406 d) Find the probability that a randomly selected nurse has a starting salary between 40795.7 and 83830.2 dollars. 0.0547 e) Find the probability that randomly selected nurse has a starting salary that is at most 41861.5 dollars. 0.0062 f) Is a starting salary of 41861.5 dollars unusually low for a randomly selected nurse? Why or why not? Select an answer g yes, since the probability is less than or equal to 0.05 no, since the probability is less than or equal to 0.05 yes, since the probability is greater than 0.05 an? ox. no, since the probability is greater than 0.05