Amarillo Slim, a professional dart player, has an 80% chance of hitting the bullseye on a dartboard with any throw. Suppose that he throws 10 darts, one at a time, at the dartboard. (a) Find the probability that Slim hits the bullseye exactly six times.
Amarillo Slim, a professional dart player, has an 80% chance of hitting the bullseye on a dartboard with any throw. Suppose that he throws 10 darts, one at a time, at the dartboard. (a) Find the probability that Slim hits the bullseye exactly six times.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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please write answer if possible in
this format: “ biomPdf(2,3,4)” or geometricPdf(5,6,7) as an example
Transcribed Image Text:5) Amarillo Slim, a professional dart plaver, has an 80% chance of hitting the bullseye on a dartboard with any
throw. Suppose that he throws 10 darts, one at a time, at the dartboard.
(a) Find the probability that Slim hits the bullseye exactly six times.
(b) Find the probability that he hits the bullseye at least four times.
(c) Compute the mean of the number of bullseyes in 10 throws.
(d) Find the probability that Slim's first bullseye occurs on the fourth throw.
(e) Find the probability that it takes Amarillo more than 2 throws to hit the bullseye.
DA (S
4) A dealer in the Sands Casino in Las Vegas selects 40 cards from a standard deck of 52 cards.
Let Y be the number of red cards (hearts or diamonds) in the 40 cards selected. Which of the following best
describes this setting:
coubou
(a) Y has a binomial distribution with n=40 observations and probability of success p = 0.5.
(b) Y has a binomial distribution with n-40 observations and probability of success p= 0.5, provided the
deck is shuffled well.
(c) Y has a binomial distribution with n-40 observations and probability of success p = 0.5, provided after
selecting a card it is replaced in the deck and the deck is shuffled well before the next card is selected.
(d) Y has a normal distribution with mean p= 0.5.
5. Ladies Home Journal magazine reported in 1993 that 66% of all dog owners greet their dog before greeting
their spouse or children when they return home at the end of the work day. Suppose that 12 dog owners are
selected at random.
a) Find the probability that exactly seven of the 12 dog owners greet their dog first when they arrive home.
b) Find the probability that at least 5 of the 12 dog owners greet their dog first when they arrive home.
c) What is the expected number of dog owners who greet their dog first when they arrive home?
d) Find the mean and standard deviation for the random variable X in this problem.
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