Question

1.When probabilities are assigned based on the assumption that all the possible outcomes are equally likely, the method used to assign the probabilities is called the

A.conditional method B.relative frequency method C.subjective method D.Venn diagram method E.classical method

2.You study the number of cups of coffee consumer per day by students and discover that it follows a discrete uniform probability distribution with possible values for x of 0, 1, 2 and 3. What is the standard deviation of the random variable x? (You can round your final answer to two decimals, but do not do any rounding when you are doing the intermediate calculations.)

3. The number of gallons of gasoline sold at your gas station on any one day has a (continuous) uniform distribution with a minimum of 500 and a maximum of 1500. What is the probability that you will sell more than 1300 gallons of gasoline on any particular day? You may round your answer to two decimal places.

4. Assume that the mean debt for credit cards at your bank is $12,000. The population standard deviation is $4000 and the debt amounts have a normal distribution. What is the probability that the debt for one of your credit card holders is between $10,000 and $15,000? You should provide four numbers past the decimal point in your answer.

5. You run an experiment where you weigh shipments of boxes from a warehouse. The random variable, x, is the number of pounds in the shipment. Identify the possible values that the random variable can assume. Give your answer as a mathematical expression based on x.

6. A florist looks at his sales and discovers that the probability that a randomly selected flower sold is a rose is 0.40. The probability that a randomly selected flower sold is white is 0.10. The probability that a randomly selected flower sold is a white rose is 0.03. Given that a randomly selected flower sold is white, what is the probability that it is also a rose? You can round your answer to two decimal places.

7. Based on historical statistics, a climatologist has determined that the probability of rain on Feb. 1 in San Francisco is 0.4. Use the normal approximate to the binomial to calculate the probability that it will rain in San Francisco on exactly 40 of the next 100 Feb. 1 dates. Round your answer to four decimal places.

8. Customers arrive at your store based on a Poisson process with a mean of 4 arrivals per hour.It is currently 3:00 pm and the last customer came in at 2:15 pm.What is the probability that no new customers will arrive before 3:15 pm? Include 4 places past the decimal in your answer.

9. I flip three fair coins, each with a 50-50 probability of getting heads or tails. I do not show you the results, but I tell you that at least one of the three coins shows heads. Given this information, calculate the conditional probability that exactly two of the three coins show heads.You can round your answer to two decimal places.

10. A deck of 52 playing cards consists of four suits, each with thirteen cards.In the game called bridge, a hand consists of thirteen cards selected randomly without replacement.What is the probability that a bridge hand will have exactly 7 cards in the same suit?Round your answer to three decimal places.

I need help with questions 1-10 please!!!

Answer 1