The probability that a customer at your coffee shop will order decaf coffee is 0.40 and each customer's order is independent of every other customer's order. What is the probability that exactly 2 of the next 9 customers will order decaf? You can round your answer to two decimal points.
3)The
What is the probability that exactly 2 of the next 9 customers will order decaf?
You can round your answer to two decimal points.
4)During the past five years the probability that a California consumer has bought a burrito (
The probability that a California consumer has bought both a burrito and a Honda in the past five years is 0.12.
Are the purchases of burritos and Hondas in the past five years among California consumers independent events?
5) Continuing on with the previous question:
The reason your answer to the previous question is correct is:
P ( B ) − P ( H ) > P ( B ∪ H )
P ( H ∣ B ) = P ( H )
P ( B ∪ H ) = P ( B ) + P ( H ) − P ( B ∩ H )
P ( B ∣ H ) ≠ P ( B )
P ( H ) ⋅ P ( B ) ≠ P ( H ∩ B )
6) You are the sales manager for a large high-end clothing store. You have a total of 100 salespeople at the store, and 40 of them sold $1000 or less yesterday while the rest sold over $1000.
Among the salespeople who sold $1000 or less, there is a probability of 0.30 that the salesperson is new on the job (less than one year of experience).
Among the salespeople who sold over $1000 there is a probability of 0.10 that the salesperson is new on the job (less than one year of experience).
Given that a salesperson is new on the job, what is the probability that the salesperson sold over $1000 yesterday?
You can round your answer to two decimal places.
7)The standard version of the game of poker is played with a deck of 52 different playing cards and a poker player is given 5 cards at random without replacement as a poker hand.
The order in which the cards are chosen does not matter.
Assume you are playing poker using a deck of cards that includes two Jokers, so that there actually 54 different playing cards. You are still given 5 cards at random without replacement. One Joker is Red and the other is Black, so they count as two unique cards.
How many different poker hands are possible using this deck that includes the two Jokers?
8)Fortune magazine publishes an annual list of the 500 largest companies in the United States. In the 2020 rankings, 53 of these companies had their headquarters in California.
If you pick a company at random from this 2020 list, what is the probability that the company you pick has headquarters in California?
You must include three places past the decimal in your answer.
9)When probabilities are assigned based on historical counts of the occurrence of outcomes, the method used to assign the probabilities is called the
-conditional method
-subjective method
-relative frequency method
10)Bob Neverready has a portable TV. The TV uses two batteries and both of them are dead.
Bob opens a new pack of four good batteries and dumps them on the table.
Then he opens the TV and dumps the two dead batteries on the table with the good ones.
The batteries get mixed up and Bob no longer knows which are which. (Has this ever happened to you?)
If Bob picks two batteries off of the table at random and puts them into the TV, what is the probability that he chose two good batteries and that the TV will work?
You can round your answer to three decimal places.
11)The average unemployment rate in California in August 2020 was 11.4%.
Assume that 550 employable people in California were selected randomly in August 2020.
What is the
Round your answer to one decimal point
12)Based on historical statistics, a climatologist has determined that the probability of rain in Seattle on March 4 is .50.
Use the normal approximation to the binomial to calculate the probability that it will rain in Seattle on exactly 52 of the next 100 March 4 dates.
Round your answer to four decimal places.
13)Travelers arrive at an airport security line at an average rate of 36 per minute with a Poisson process.
What is the standard deviation of the random variable that measures the number of arrivals per minute?
You can round your answer to the nearest whole number.
14)If IQ test scores are
You should provide four decimal points in your answer.
15)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 3:30 pm?
Include 4 places past the decimal in your answer.
16)A deck of 52 playing cards consists of four suits, each with thirteen cards.
In a certain card game, a hand consists of eleven cards selected randomly without replacement.
What is the probability that a hand will have exactly 7 cards in the same suit?
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