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.

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1)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.

2)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?

3)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.

 

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