The lifetimes of a certain brand of photographic light are normally distributed with a mean of 210 hours and a standard deviation of 50 hours. a) What is the probability that a particular light will last more than 250 hours? (2 marks) b) What percent of lights will need to be replaced within 235 hours? (2 marks) c) Out of 2000 lights, how many will have a lifetime between 200 and 350 hours. (2 marks)

The percentage of data that lies within 1 standard deviation of the mean in a normal distribution is

In how many ways can 18 different chocolates be evenly distributed among 3 people?  (3 marks)

A poker hand consists of 5 cards.  What is the probability of a hand containing a) exactly 2 aces? (2 marks) b) 1 spade, 2 clubs, 1 heart and a diamond? (2 marks)

A coin is flipped and a card is drawn from a regular deck of cards.  Determine the probability of drawing an ace followed by flipping a heads.

A bag contains 17 marbles – 6 blue, 7 red, and 4 green marbles.  If four marbles are drawn randomly (without replacement), determine the probability that three of them are green.

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How can you quickly confirm that a person’s web camera is functional?

Consider the following image of a cell inside a solution:   The percentages represent the solute concentration of the cell and the solution respectively. The cell membrane is semipermeable, so water can move freely across the membrane, but solutes cannot. Use this to answer the following questions.

The _______ represents the angle an observer must look up from the original horizontal line of sight to see an object that is higher than the observer. It is sometimes referred to as the angle of inclination.