Exam 7: Probability: Living With the Odds

Solve the problem. -In a certain town, 20% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?

Use the relative frequency method to estimate the probability. Round your answer to 2 decimal places when necessary. -Of 1428 people who came into a blood bank to give blood, 303 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood Pressure.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -Find the probability of selecting either a non-smoker or a woman when you select a person at random from a group composed of 45 female smokers, 30 male smokers, 25 female non-smokers, And 50 male non-smokers.

Solve the problem. Round your answer to 2 decimal places when necessary. -A U.S. city with a population of 2.3 million reports 14,993 deaths. What is the death rate in deaths per 1000 people?

Provide an appropriate response. -A card is selected at random from a standard deck of 52 cards. Let $\mathrm { A } =$ event the card is a heart $B =$ event the card is a red card Which of the following is (are)true? $A : P ( A$ or $B ) = P ( A )$ B: $\mathrm { P } ( \mathrm { A }$ or $\mathrm { B } ) = \mathrm { P } ( \mathrm { B } )$ $C : P ( A$ and $B ) = P ( B )$ D: $\mathrm { P } ( \mathrm { A }$ and $\mathrm { B } ) = \mathrm { P } ( \mathrm { A } )$

Use the relative frequency method to estimate the probability. Round your answer to 2 decimal places when necessary. -Sebastian lives in a rainy city. In his city, in 9 of the past 24 years there have been more than 100 days of rain. What is the probability that there will be more than 100 days of rain next year in his City? Give your answer as a fraction.

Solve the problem. Round your answer to 2 decimal places when necessary. -In a given year, the population of a certain country is about 155 million. The overall birth rate is 15.7 births per 1000. The overall death rate is 11.1 deaths per 1000. If the population of the country Increased by 1.06 million, what is the approximate net immigration to the country during this Year?

Solve the problem. Round your answer to 2 decimal places when necessary. -A six mile strip of Sprinkle Road had 44 traffic fatalities last year. There were 2.4 million miles driven along this stretch. Determine the traffic fatality rate per 100,000 miles driven.

Evaluate the factorial expression. - $\frac { 7 ! } { 3 ! ( 7 - 3 ) ! }$

Solve the problem. -A restaurant offers pizzas with 3 types of crust, 7 different toppings, and in 6 different sizes. How many different pizzas could be ordered?

Explanation: -If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years.

Find the expected value. -Suppose you pay $2.00 to roll a fair die with the understanding that you will get back $4.00 for rolling a 4 or a 1, nothing otherwise. What is your expected net winnings?

Find the indicated probability. Round your answer to 6 decimal places when necessary. -On a multiple choice test, each question has 6 possible answers. If you make a random guess on the first question, what is the probability that you are correct?

Find the indicated probability. Round your answer to 6 decimal places when necessary. -When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the sum is a multiple of 3 or greater than 8.

Evaluate the factorial expression. - $\frac { 10 ! } { 3 ! 7 ! }$

Find the expected value. -Bob and Fred play the following game. Bob rolls a single die. If an even number results, Bob must pay Fred the number of dollars indicated by the number rolled. On the other hand, if an odd Number is rolled, Fred must pay Bob the number of dollars indicated by the number rolled. Find Bob's expected winnings.

Provide an appropriate response. -Suppose that S and T are mutually exclusive events. Which of the following statements is true?

Solve the problem. Round your answer to 2 decimal places when necessary. -In a recent year, there were 62 accidents in commercial aviation among major airlines over 15.5 million flight hours. Find the accident rate in units of accidents per 100,000 flight hours.

Find the expected value. -Experience shows that a ski lodge will be full (199 guests)if there is a heavy snow fall in December, while only partially full (57 guests)with a light snow fall. What is the expected number of guests if The probability for a heavy snow fall is .40? Assume that heavy snowfall and light snowfall are the Only two possibilities.

Find the indicated probability. Round your answer to 6 decimal places when necessary. -What is the probability of not rolling a number larger than 4 with a fair die?