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Suppose we have 20 observations from a normal population with mean  10 and standard deviation 3. Let  

A random sample of size 10 is as follows:         0.5,  1.8,   0.2,    0.5,   0.0,   1.0,   1.3,   2.3,   0.2,   0.8 Find all the mode(s).

The following observations are the numbers of calls received by an office in ten working days.                4 , 4,  2,  3,  8,  8,  3,  5,  3,  4 Find the sample median.

The life, in years, of a certain type of light bulbs has an exponential distribution with an average life β = 1. A statistician decides to test these bulbs for their lifetimes one after another until he finds the second light bulb whose lifetime is more than 5 years.  Use X to denote the light bulbs he will use for his test. What is the distribution function of X?    (Name of the distribution)

The life, in years, of a certain type of electrical switch has an exponential distribution with an average life β = 0.5.  Randomly select one switch and install it in a system, what is the probability the switch fails during the first year?

For a normal variable X with mean 10 and standard deviation 5, find the value of k such that P(X

My final exam grade can be dropped from my overall average. 

A client at her 6-week postpartum checkup tells the nurse, ‘I haven’t bonded with my baby at all. I feel nothing when I hold her. I can’t sleep even when she’s sleeping, and I’ve lost 15 pounds because I have no appetite.’ Which action by the nurse is the PRIORITY? 

A nurse is teaching a new mother about newborn reflexes during a breastfeeding session. The mother strokes her baby’s cheek and the baby turns toward her finger and opens the mouth. She asks, ‘Is something wrong with my baby?’ Which response is best?

A nurse strokes the lateral sole of a 2-day-old newborn’s foot from heel to ball. The toes fan outward and the great toe dorsiflexes. Which interpretation is correct?