Reference no: EM132952250
Question 1: Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 3 minutes. determine the probability that the child wait at least 4 minutes on the has on a given morning.
Question 2: Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. determine the probability that the child must wait between 5 and 6 minutes on the bus on a given morning.
Question 3: A single card is drawn from a well - shuffled, standard deck (52 cards) of playing cards (four suits (diamonds, hearts, clubs, and spades) of 13 card each (ace through king).
a. Given that a diamond card has been selected, what is the probability it is a face card (jack, queen, or king)>
b. Given that a diamond card has been selected, what is the probability that a face card or an ace was not chosen?
Question 4: From the top of 280-ft lighthouse, the angle of depression to a ship in the ocean is 29° How for a the ship from the base of the lighthouse?