1. Many of the continuous random variables that occur in real life are approximately normally distributed. How do you think this helps in studying real life variables? 2. Do you realize and understand the advantage of being able to convert values of an arbitrary normally distributed random variable to the corresponding values of the standard normal variable? If yes, list all the possible advantages of being able to do this. If not what do you plan to do to understand why the standard normal random variable is widely used for computations involving normal distributions?

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Anumber cube is rolled and a coin is tossed. the number cube and the coin are fair. what is the probability that the number rolled is less than 4 and the coin toss is tails?

Apatient is to be given 35 milligrams of demerol every 4 hours. you have demerol 50 milligrams/milliliter in stock. how many milliliters should be given per dose?

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?