Probability Questions and Answers
Math
ProbabilityIn a litter of 8 puppies, suppose there are 2 brown females, 2 brown males, 1 spotted female, and 3 spotted males. If a puppy is randomly selected, what is the probability of selecting a female or a brown puppy?
Math
ProbabilityLeah is flying from Moncton to Vancouver with a connection in Montreal. The probability
that her first flight leaves on time is 0.20. If the flight in on time, the probability that her
luggage will make the connecting flight in Montreal is 0.90, but if the first flight is delayed,
the probability that the luggage will make it is only 0.60.
(a) What is the probability that Leah's luggage arrives in Vancouver with her?
(b) Suppose you pick her up at the Vancouver airport and her luggage is not there. What
is the probability that Leah's first flight was delayed?
Math
ProbabilityIdentify the following statement as an example of a descriptive statistic or as an
example of an inferential statistic. Yahoo! reported than 35.3 million people used
their search engine during the month of January.
Descriptive Statistic
Inferential Statistic
Math
ProbabilityThe Algiers High School booster club is planning a fundraiser to collect money for a new synthetic turf field and stadium lights. The boosters
will completely cover the football field with playing cards (2.5 inches x3.5 inches) face down. All the cards are aligned in the same direction
as the football field (long side of the card along the long side of the field). There will be exactly one joker card placed at random among the
cards on the field. The football field is 100 yards x53 yards.
Contestants pay five dollars for every card they wish to turn over. Whoever finds the joker wins one million dollars.
a. What is the probability that the first player finds the joker by turning over one card?
FIND the JOKER
Hint (b):
c. What is the maximum amount of money the boosters can make?
Win One MILLION DOLLARS
OHint (a):
b. The playing cards used to cover the field cost $0.99 per pack (52 cards per pack). What is the largest amount of money the boosters can lose in this
fundraiser?
Hint (c):
d. What is a reasonable expected profit for the booster club? That is, if this fundraiser were done many, many times, what would be the average profit?
Hint (d):
e. A state Mucho Millions lottery advertises odds of 176 million to one. If the state lottery were played like the booster club fundraiser, how many football fields
covered with non-joker playing cards would be needed?
Hint (e):
Math
ProbabilityAlcohol withdrawal occurs when a person who uses alcohol excessively suddenly stops the alcohol use. Studies have shown that the onset of withdrawal isexperienced a mean of 40.5 hours after the last drink, with a standard deviation of 17 hours. A sample of 40 people who use alcohol excessively is to be taken.What is the probability that the sample mean time between the last drink and the onset of withdrawal will be 42 hours or less?Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
Math
ProbabilityThe Senators have won 75% of the games played against the
Canadiens over the past few seasons. What is the probability
that the Canadiens will win exactly 4 of the 8 games they
play against the Senators this season?
Math
ProbabilityA bag has nine balls labeled A, B, C, D, E, F, G, H, and I.One ball will be randomly picked, and its letter will be recorded as the outcome.Give the sample space describing all possible outcomes.Then give all of the outcomes for the event of choosing a vowel.If there is more than one element in the set, separate them with commas
Math
ProbabilityAt a customer service call center for a large company, the number of calls received per
hour is normally distributed with a mean of 180 calls and a standard deviation of 15
calls. What is the probability that during a given hour of the day there will be between
143 calls and 185 calls, to the nearest thousandth?
Math
ProbabilityWhen Lincoln runs the 400 meter dash, his finishing times are normally distributed
with a mean of 67 seconds and a standard deviation of 2 seconds. What is the
probability that in a given race, his finishing time will be slower than 69 seconds, to
the nearest thousandth?
Math
ProbabilityWhen Stella goes bowling, her scores are normally distributed with a mean of 185 and a standard deviation of 14. What is the probability that the next game Stella bowls,her score will be higher than 185, to the nearest thousandth?