need help i think 1) is .12 and working part 2 i believe it is .10 but it look wrong to me and i am lost on part 3

– 1 of 3   ID: MST.FET.PD.BD.01.0010A

An analyst has been studying a particular stock and has come to the following two conclusions:

• the probability that the stock will rise on a particular day is 0.45
• the rise or fall of the stock on any particular day is independent of the rise and fall of the stock on any other day

Calculate the probability that over the next week (7 days) the stock will rise on exactly 2 days. Give your answer as a decimal to 2 decimal places.

Probability = 
– 2 of 3   ID: MST.FET.PD.BD.02.0010A

You are a day trader on the stock exchange and you have invested all of your life savings in a portfolio containing 6 stocks. After dwelling on the risks involved in your investment, you have come to the conclusion that if at least half of the stocks in your portfolio are profitable, your investment will be a success.

Based on empirical data available from the historical records of the stock exchange, you believe that the probability of a stock being profitable is 0.35. Assuming that the profitability of each stock is independent of all the other stocks, calculate the probability (P(S)) that your investment is a success. Give your answer as a decimal to 2 decimal places.

P(S) = 
– 3 of 3   ID: MST.FET.PD.BD.03.0040A

Ken is a factory worker, who is a part-time statistics student, and makes toys. He knows that the probability that any given toy on the factory line is faulty is a constant and is independent of whether or not any other toy on the line is faulty. This probability is 0.1030 (when rounded to 4 decimal places). Each day, Ken tests the same number of toys. He knows that the expected number of faulty toys each day is 31.

Given this information, calculate the number of toys that Ken tests each day. Give your answer as a whole number.

Number of toys Ken tests each day = 

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