In the probability distribution table below, the random vari…

In the probability distribution table below, the random variable x is the number of emails received in a day by a math professor.  Answer the following questions below rounding all answers to two decimals. x P(x) 0 0.05 1 0.10 2 0.20 3 0.25 4 0.30 5 0.10 a.  Find the parameters for mean [mu] and standard deviation [sigma] b.  Use the parameters and the range rule of thumb to find the cutoffs for significantly low [siglow] and significantly high [sighigh] c.  What is the probability the professor will get exactly 1 email?  [equal1] d.  What is the probability the professor gets 3 or more emails? [3ormore]

The number of hours a battery lasts before failing is strong…

The number of hours a battery lasts before failing is strongly skewed to the right.  Answer the following questions regarding the Central Limit Theorem.   a.  True or False, we can use a normal distribution to find probabilities about a single battery. [one] b.  True or False, we can use a normal distribution to find probabilities about the mean of a pack of 12 batteries. [twelve] c.  True or False, we can use a normal distribution to find probabilities about the mean of a pack of 24 batteries. [24] d.  True or False, we can use a normal distribution to find probabilities about the mean of a pack of 48 batteries. [48]