Question

1. Over the past 200 stock-trading days data is collected concerning whether the stock index, called the S&P 500, increased or decreased as well as whether the individual stock Apple increased or decreased. Apple stock increased in price on 130 of the days. The S&P 500 increased on 150 of the days. Finally, Apple increased and the S&P 500 increased on 100 of the days. (assume the index either increases or decreases and assume the stock either increases or decreases, ie, neither the stock nor the index ever stays the same from the previous day) What is the probability that on a randomly chosen day that Apple’s stock price decreases or the S&P Index increases? (please round your answer to 4 decimal places)

2.Over the past 200 stock-trading days data is collected concerning whether the stock index, called the S&P 500, increased or decreased as well as whether the individual stock Apple increased or decreased. Apple stock increased in price on 130 of the days. The S&P 500 increased on 150 of the days. Finally, Apple increased and the S&P 500 increased on 100 of the days. (assume the index either increases or decreases and assume the stock either increases or decreases, ie, neither the stock nor the index ever stays the same from the previous day) On the days that Apple’s stock price increases, what is the probability that the S&P Index decreases in value? (please round your answer to 4 decimal places)

3.The amount of gas a local gas station sells is random. The following describes the distribution of gasoline sales in a given day. There is a probability of 0.24 that the station will sell 1100 gallons of gas; there is a probability of 0.23 that the station will sell 1400 gallons of gas; there is a probability of 0.29 that the station will sell 1700 gallons of gas; otherwise, the station sells 2000 gallons of gas. What is the probability the station will sell at least 1400 gallons of gas on a randomly chosen day? (please express your answer using 2 decimal places)

Answer 1

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