Recording the count of spots on the up face

Reference no: EM1319216

Q1) Data from National Health Survey illustrate that men's average weight is normally distributed with mean of 170 pounds and standard deviation of 30 pounds.

a) If man is selected at random, determine the probability that his weight is greater than 180 pounds?

b) If 100 men are randomly chosen, determine the probability that their mean weight is greater than 180 pounds?

c) Determine the probability that mean weight of 100 men is less than 160 pounds?

Q2) In each of given situations, mention whether or not the given assignment of probabilities to given outcomes is legitimate, i.e., satisfies rules of probability distribution. (Assignment of probabilities need not follow common sense understanding of outcomes!)

a) Roll a die and record the count of spots on the up face: P(1) = 0, P(2) = 1/6, P(3) = 1/3, P(4) = 1/3, P(5) = 1/6, P(6) = 0.

b) Select a college student at random and record sex and enrolment status: P(female-fulltime) = 0.56, P(female-part time) = 0.24, P(male-fulltime) = 0.44, P(male- part time) = 0.17

c) Deal a card from shuffled deck: P(Clubs) = 12/52, P(Diamonds) = 12/52, P(Hearts) = 12/52, P(Spades) = 16/52.

Reference no: EM1319216

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